id	sid	tid	token	lemma	pos
ejpam-502	1	1	8_502_khalil.dvi	8_502_khalil.dvi	NUM
ejpam-502	1	2	european	european	ADJ
ejpam-502	1	3	journal	journal	NOUN
ejpam-502	1	4	of	of	ADP
ejpam-502	1	5	pure	pure	ADJ
ejpam-502	1	6	and	and	CCONJ
ejpam-502	1	7	applied	apply	VERB
ejpam-502	1	8	mathematics	mathematic	NOUN
ejpam-502	1	9	vol	vol	NOUN
ejpam-502	1	10	.	.	PUNCT
ejpam-502	2	1	3	3	NUM
ejpam-502	2	2	,	,	PUNCT
ejpam-502	2	3	no	no	INTJ
ejpam-502	2	4	.	.	NOUN
ejpam-502	2	5	5	5	NUM
ejpam-502	2	6	,	,	PUNCT
ejpam-502	2	7	2010	2010	NUM
ejpam-502	2	8	,	,	PUNCT
ejpam-502	2	9	881	881	NUM
ejpam-502	2	10	-	-	SYM
ejpam-502	2	11	898	898	NUM
ejpam-502	2	12	issn	issn	PROPN
ejpam-502	2	13	1307	1307	NUM
ejpam-502	2	14	-	-	SYM
ejpam-502	2	15	5543	5543	NUM
ejpam-502	2	16	–	–	PUNCT
ejpam-502	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-502	2	18	tensor	tensor	NOUN
ejpam-502	2	19	product	product	NOUN
ejpam-502	2	20	semi	semi	ADJ
ejpam-502	2	21	-	-	ADJ
ejpam-502	2	22	groups	group	NOUN
ejpam-502	2	23	roshdi	roshdi	ADJ
ejpam-502	2	24	khalil1,∗	khalil1,∗	NOUN
ejpam-502	2	25	,	,	PUNCT
ejpam-502	2	26	r.	r.	PROPN
ejpam-502	2	27	al	al	PROPN
ejpam-502	2	28	-	-	PUNCT
ejpam-502	2	29	mirbati2	mirbati2	PROPN
ejpam-502	2	30	,	,	PUNCT
ejpam-502	2	31	and	and	CCONJ
ejpam-502	2	32	d.	d.	PROPN
ejpam-502	2	33	drissi3	drissi3	PROPN
ejpam-502	2	34	1	1	NUM
ejpam-502	2	35	department	department	NOUN
ejpam-502	2	36	of	of	ADP
ejpam-502	2	37	mathematics	mathematic	NOUN
ejpam-502	2	38	,	,	PUNCT
ejpam-502	2	39	university	university	PROPN
ejpam-502	2	40	of	of	ADP
ejpam-502	2	41	jordan	jordan	PROPN
ejpam-502	2	42	,	,	PUNCT
ejpam-502	2	43	amman	amman	PROPN
ejpam-502	2	44	-	-	PUNCT
ejpam-502	2	45	jordan	jordan	PROPN
ejpam-502	2	46	2	2	NUM
ejpam-502	2	47	gulf	gulf	PROPN
ejpam-502	2	48	university	university	NOUN
ejpam-502	2	49	for	for	ADP
ejpam-502	2	50	science	science	NOUN
ejpam-502	2	51	and	and	CCONJ
ejpam-502	2	52	technology	technology	NOUN
ejpam-502	2	53	,	,	PUNCT
ejpam-502	2	54	kuwait	kuwait	PROPN
ejpam-502	2	55	3	3	NUM
ejpam-502	2	56	department	department	NOUN
ejpam-502	2	57	of	of	ADP
ejpam-502	2	58	mathematics	mathematics	PROPN
ejpam-502	2	59	,	,	PUNCT
ejpam-502	2	60	kuwait	kuwait	PROPN
ejpam-502	2	61	university	university	PROPN
ejpam-502	2	62	,	,	PUNCT
ejpam-502	2	63	kuwait	kuwait	PROPN
ejpam-502	2	64	abstract	abstract	NOUN
ejpam-502	2	65	.	.	PUNCT
ejpam-502	3	1	let	let	AUX
ejpam-502	3	2	x	x	PRON
ejpam-502	3	3	and	and	CCONJ
ejpam-502	3	4	y	y	PROPN
ejpam-502	3	5	be	be	VERB
ejpam-502	3	6	banach	banach	NOUN
ejpam-502	3	7	spaces	space	NOUN
ejpam-502	3	8	and	and	CCONJ
ejpam-502	3	9	l(x	l(x	PROPN
ejpam-502	3	10	,	,	PUNCT
ejpam-502	3	11	y	y	PROPN
ejpam-502	3	12	)	)	PUNCT
ejpam-502	3	13	be	be	AUX
ejpam-502	3	14	the	the	DET
ejpam-502	3	15	space	space	NOUN
ejpam-502	3	16	of	of	ADP
ejpam-502	3	17	all	all	DET
ejpam-502	3	18	bounded	bound	VERB
ejpam-502	3	19	linear	linear	PROPN
ejpam-502	3	20	operators	operator	NOUN
ejpam-502	3	21	from	from	ADP
ejpam-502	3	22	x	x	X
ejpam-502	3	23	to	to	ADP
ejpam-502	3	24	y	y	PROPN
ejpam-502	3	25	.if	.if	PUNCT
ejpam-502	4	1	x	x	PUNCT
ejpam-502	4	2	=	=	SYM
ejpam-502	4	3	y	y	PROPN
ejpam-502	4	4	we	we	PRON
ejpam-502	4	5	write	write	VERB
ejpam-502	4	6	l(x	l(x	PROPN
ejpam-502	4	7	)	)	PUNCT
ejpam-502	5	1	forl(x	forl(x	PROPN
ejpam-502	5	2	,	,	PUNCT
ejpam-502	5	3	y	y	PROPN
ejpam-502	5	4	)	)	PUNCT
ejpam-502	5	5	.	.	PUNCT
ejpam-502	6	1	let	let	VERB
ejpam-502	6	2	x	x	SYM
ejpam-502	6	3	⊗	⊗	PROPN
ejpam-502	6	4	y	y	PROPN
ejpam-502	6	5	be	be	VERB
ejpam-502	6	6	the	the	DET
ejpam-502	6	7	tensor	tensor	NOUN
ejpam-502	6	8	product	product	NOUN
ejpam-502	6	9	of	of	ADP
ejpam-502	6	10	x	x	PROPN
ejpam-502	6	11	and	and	CCONJ
ejpam-502	6	12	y	y	PROPN
ejpam-502	6	13	,	,	PUNCT
ejpam-502	6	14	and	and	CCONJ
ejpam-502	6	15	x	x	AUX
ejpam-502	6	16	α⊗	α⊗	PROPN
ejpam-502	6	17	y	y	NOUN
ejpam-502	6	18	be	be	AUX
ejpam-502	6	19	the	the	DET
ejpam-502	6	20	completion	completion	NOUN
ejpam-502	6	21	of	of	ADP
ejpam-502	6	22	x	x	PUNCT
ejpam-502	6	23	⊗y	⊗y	NOUN
ejpam-502	6	24	with	with	ADP
ejpam-502	6	25	respect	respect	NOUN
ejpam-502	6	26	to	to	ADP
ejpam-502	6	27	a	a	DET
ejpam-502	6	28	uniform	uniform	ADJ
ejpam-502	6	29	cross	cross	PROPN
ejpam-502	6	30	norm	norm	PROPN
ejpam-502	6	31	α	α	NOUN
ejpam-502	6	32	.	.	PUNCT
ejpam-502	7	1	in	in	ADP
ejpam-502	7	2	this	this	DET
ejpam-502	7	3	paper	paper	NOUN
ejpam-502	7	4	,	,	PUNCT
ejpam-502	7	5	we	we	PRON
ejpam-502	7	6	present	present	VERB
ejpam-502	7	7	an	an	DET
ejpam-502	7	8	extension	extension	NOUN
ejpam-502	7	9	of	of	ADP
ejpam-502	7	10	the	the	DET
ejpam-502	7	11	hille	hille	PROPN
ejpam-502	7	12	-	-	PUNCT
ejpam-502	7	13	yosida	yosida	PROPN
ejpam-502	7	14	theorem	theorem	VERB
ejpam-502	7	15	to	to	ADP
ejpam-502	7	16	tensor	tensor	NOUN
ejpam-502	7	17	product	product	NOUN
ejpam-502	7	18	semigroups	semigroup	NOUN
ejpam-502	7	19	.	.	PUNCT
ejpam-502	8	1	2000	2000	NUM
ejpam-502	8	2	mathematics	mathematic	NOUN
ejpam-502	8	3	subject	subject	NOUN
ejpam-502	8	4	classifications	classification	NOUN
ejpam-502	8	5	:	:	PUNCT
ejpam-502	8	6	primary	primary	ADJ
ejpam-502	8	7	47d03	47d03	NOUN
ejpam-502	8	8	,	,	PUNCT
ejpam-502	8	9	secondary	secondary	ADJ
ejpam-502	8	10	47d99	47d99	NUM
ejpam-502	8	11	key	key	ADJ
ejpam-502	8	12	words	word	NOUN
ejpam-502	8	13	and	and	CCONJ
ejpam-502	8	14	phrases	phrase	NOUN
ejpam-502	8	15	:	:	PUNCT
ejpam-502	8	16	semigroups	semigroup	NOUN
ejpam-502	8	17	of	of	ADP
ejpam-502	8	18	operators	operator	NOUN
ejpam-502	8	19	,	,	PUNCT
ejpam-502	8	20	tensor	tensor	NOUN
ejpam-502	8	21	product	product	NOUN
ejpam-502	8	22	1	1	NUM
ejpam-502	8	23	.	.	PUNCT
ejpam-502	9	1	introduction	introduction	NOUN
ejpam-502	9	2	one	one	NUM
ejpam-502	9	3	parameter	parameter	NOUN
ejpam-502	9	4	semigroups	semigroup	NOUN
ejpam-502	9	5	of	of	ADP
ejpam-502	9	6	operators	operator	NOUN
ejpam-502	9	7	have	have	AUX
ejpam-502	9	8	been	be	AUX
ejpam-502	9	9	a	a	DET
ejpam-502	9	10	useful	useful	ADJ
ejpam-502	9	11	tool	tool	NOUN
ejpam-502	9	12	in	in	ADP
ejpam-502	9	13	the	the	DET
ejpam-502	9	14	study	study	NOUN
ejpam-502	9	15	of	of	ADP
ejpam-502	9	16	the	the	DET
ejpam-502	9	17	socalled	socalled	ADJ
ejpam-502	9	18	abstract	abstract	ADJ
ejpam-502	9	19	cauchy	cauchy	PROPN
ejpam-502	9	20	problem	problem	NOUN
ejpam-502	9	21	.	.	PUNCT
ejpam-502	10	1	such	such	DET
ejpam-502	10	2	a	a	DET
ejpam-502	10	3	problem	problem	NOUN
ejpam-502	10	4	states	state	NOUN
ejpam-502	10	5	as	as	SCONJ
ejpam-502	10	6	follows	follow	VERB
ejpam-502	10	7	:	:	PUNCT
ejpam-502	10	8	let	let	VERB
ejpam-502	10	9	a	a	PRON
ejpam-502	10	10	be	be	AUX
ejpam-502	10	11	a	a	DET
ejpam-502	10	12	linear	linear	ADJ
ejpam-502	10	13	operator	operator	NOUN
ejpam-502	10	14	on	on	ADP
ejpam-502	10	15	a	a	DET
ejpam-502	10	16	banach	banach	NOUN
ejpam-502	10	17	space	space	NOUN
ejpam-502	10	18	x	x	PUNCT
ejpam-502	10	19	,	,	PUNCT
ejpam-502	10	20	find	find	VERB
ejpam-502	10	21	a	a	DET
ejpam-502	10	22	continuously	continuously	ADV
ejpam-502	10	23	differentiable	differentiable	ADJ
ejpam-502	10	24	function	function	NOUN
ejpam-502	10	25	t	t	PROPN
ejpam-502	10	26	(	(	PUNCT
ejpam-502	10	27	.	.	NUM
ejpam-502	10	28	,	,	PUNCT
ejpam-502	10	29	x	x	X
ejpam-502	10	30	)	)	PUNCT
ejpam-502	10	31	from	from	ADP
ejpam-502	10	32	[	[	X
ejpam-502	10	33	0,∞	0,∞	NOUN
ejpam-502	10	34	)	)	PUNCT
ejpam-502	10	35	into	into	ADP
ejpam-502	10	36	the	the	DET
ejpam-502	10	37	domain	domain	NOUN
ejpam-502	10	38	of	of	ADP
ejpam-502	10	39	a	a	DET
ejpam-502	10	40	such	such	ADJ
ejpam-502	10	41	that	that	SCONJ
ejpam-502	10	42	t	t	PROPN
ejpam-502	10	43	satisfies	satisfy	VERB
ejpam-502	10	44	the	the	DET
ejpam-502	10	45	differential	differential	ADJ
ejpam-502	10	46	equation	equation	NOUN
ejpam-502	11	1	d	d	PROPN
ejpam-502	11	2	d	d	PROPN
ejpam-502	11	3	t	t	PROPN
ejpam-502	11	4	t	t	PROPN
ejpam-502	11	5	(	(	PUNCT
ejpam-502	11	6	t	t	PROPN
ejpam-502	11	7	,	,	PUNCT
ejpam-502	11	8	x	x	NOUN
ejpam-502	11	9	)	)	PUNCT
ejpam-502	11	10	=	=	SYM
ejpam-502	11	11	at	at	ADP
ejpam-502	11	12	(	(	PUNCT
ejpam-502	11	13	t	t	PROPN
ejpam-502	11	14	,	,	PUNCT
ejpam-502	11	15	x	x	NOUN
ejpam-502	11	16	)	)	PUNCT
ejpam-502	11	17	,	,	PUNCT
ejpam-502	11	18	(	(	PUNCT
ejpam-502	11	19	t	t	X
ejpam-502	11	20	≥	≥	NOUN
ejpam-502	11	21	0	0	NUM
ejpam-502	11	22	)	)	PUNCT
ejpam-502	11	23	,	,	PUNCT
ejpam-502	11	24	t	t	PROPN
ejpam-502	11	25	(	(	PUNCT
ejpam-502	11	26	0	0	NUM
ejpam-502	11	27	,	,	PUNCT
ejpam-502	11	28	x	x	NOUN
ejpam-502	11	29	)	)	PUNCT
ejpam-502	12	1	=	=	SYM
ejpam-502	12	2	x	x	X
ejpam-502	12	3	,	,	PUNCT
ejpam-502	12	4	for	for	ADP
ejpam-502	12	5	all	all	DET
ejpam-502	12	6	x	x	SYM
ejpam-502	12	7	∈	∈	PROPN
ejpam-502	12	8	dom(a	dom(a	PROPN
ejpam-502	12	9	)	)	PUNCT
ejpam-502	12	10	.	.	PUNCT
ejpam-502	13	1	so	so	ADV
ejpam-502	13	2	much	much	ADJ
ejpam-502	13	3	work	work	NOUN
ejpam-502	13	4	has	have	AUX
ejpam-502	13	5	been	be	AUX
ejpam-502	13	6	done	do	VERB
ejpam-502	13	7	on	on	ADP
ejpam-502	13	8	one	one	NUM
ejpam-502	13	9	parameter	parameter	NOUN
ejpam-502	13	10	semigroups	semigroup	NOUN
ejpam-502	13	11	of	of	ADP
ejpam-502	13	12	operators	operator	NOUN
ejpam-502	13	13	as	as	ADV
ejpam-502	13	14	well	well	ADV
ejpam-502	13	15	as	as	ADP
ejpam-502	13	16	its	its	PRON
ejpam-502	13	17	relation	relation	NOUN
ejpam-502	13	18	to	to	ADP
ejpam-502	13	19	the	the	DET
ejpam-502	13	20	abstract	abstract	ADJ
ejpam-502	13	21	cauchy	cauchy	PROPN
ejpam-502	13	22	problem	problem	NOUN
ejpam-502	13	23	.	.	PUNCT
ejpam-502	14	1	for	for	ADP
ejpam-502	14	2	more	more	ADJ
ejpam-502	14	3	on	on	ADP
ejpam-502	14	4	such	such	ADJ
ejpam-502	14	5	topics	topic	NOUN
ejpam-502	14	6	we	we	PRON
ejpam-502	14	7	refer	refer	VERB
ejpam-502	14	8	to	to	ADP
ejpam-502	14	9	[	[	X
ejpam-502	14	10	3	3	NUM
ejpam-502	14	11	,	,	PUNCT
ejpam-502	14	12	4	4	NUM
ejpam-502	14	13	,	,	PUNCT
ejpam-502	14	14	9	9	NUM
ejpam-502	14	15	]	]	PUNCT
ejpam-502	14	16	.	.	PUNCT
ejpam-502	15	1	we	we	PRON
ejpam-502	15	2	begin	begin	VERB
ejpam-502	15	3	recalling	recall	VERB
ejpam-502	15	4	some	some	DET
ejpam-502	15	5	standard	standard	ADJ
ejpam-502	15	6	definitions	definition	NOUN
ejpam-502	15	7	.	.	PUNCT
ejpam-502	16	1	let	let	VERB
ejpam-502	16	2	x	x	PRON
ejpam-502	16	3	be	be	AUX
ejpam-502	16	4	a	a	DET
ejpam-502	16	5	banach	banach	NOUN
ejpam-502	16	6	space	space	NOUN
ejpam-502	16	7	and	and	CCONJ
ejpam-502	16	8	l(x	l(x	PROPN
ejpam-502	16	9	)	)	PUNCT
ejpam-502	16	10	be	be	AUX
ejpam-502	16	11	the	the	DET
ejpam-502	16	12	space	space	NOUN
ejpam-502	16	13	of	of	ADP
ejpam-502	16	14	bounded	bounded	ADJ
ejpam-502	16	15	linear	linear	PROPN
ejpam-502	16	16	operators	operator	NOUN
ejpam-502	16	17	on	on	ADP
ejpam-502	16	18	x	x	X
ejpam-502	16	19	.	.	PUNCT
ejpam-502	17	1	by	by	ADP
ejpam-502	17	2	a	a	DET
ejpam-502	17	3	one	one	NUM
ejpam-502	17	4	parameter	parameter	NOUN
ejpam-502	17	5	semigroup	semigroup	NOUN
ejpam-502	17	6	of	of	ADP
ejpam-502	17	7	operators	operator	NOUN
ejpam-502	17	8	on	on	ADP
ejpam-502	17	9	x	x	PUNCT
ejpam-502	17	10	we	we	PRON
ejpam-502	17	11	mean	mean	VERB
ejpam-502	17	12	a	a	DET
ejpam-502	17	13	map	map	NOUN
ejpam-502	17	14	t	t	NOUN
ejpam-502	17	15	:	:	PUNCT
ejpam-502	18	1	[	[	X
ejpam-502	18	2	0,∞)→	0,∞)→	NOUN
ejpam-502	18	3	l(x	l(x	PROPN
ejpam-502	18	4	)	)	PUNCT
ejpam-502	18	5	such	such	ADJ
ejpam-502	18	6	that	that	SCONJ
ejpam-502	18	7	(	(	PUNCT
ejpam-502	18	8	i	i	NOUN
ejpam-502	18	9	)	)	PUNCT
ejpam-502	18	10	t	t	PROPN
ejpam-502	18	11	(	(	PUNCT
ejpam-502	18	12	0	0	NUM
ejpam-502	18	13	)	)	PUNCT
ejpam-502	18	14	=	=	NOUN
ejpam-502	19	1	i	i	PRON
ejpam-502	19	2	,	,	PUNCT
ejpam-502	19	3	the	the	DET
ejpam-502	19	4	identity	identity	NOUN
ejpam-502	19	5	operator	operator	NOUN
ejpam-502	19	6	on	on	ADP
ejpam-502	19	7	x	x	X
ejpam-502	19	8	.	.	PUNCT
ejpam-502	19	9	(	(	PUNCT
ejpam-502	19	10	ii	ii	PROPN
ejpam-502	19	11	)	)	PUNCT
ejpam-502	19	12	t	t	PROPN
ejpam-502	19	13	(	(	PUNCT
ejpam-502	19	14	s+	s+	PROPN
ejpam-502	19	15	t	t	PROPN
ejpam-502	19	16	)	)	PUNCT
ejpam-502	19	17	=	=	SYM
ejpam-502	19	18	t	t	PROPN
ejpam-502	19	19	(	(	PUNCT
ejpam-502	19	20	s	s	NOUN
ejpam-502	19	21	)	)	PUNCT
ejpam-502	19	22	t	t	PROPN
ejpam-502	19	23	(	(	PUNCT
ejpam-502	19	24	t	t	PROPN
ejpam-502	19	25	)	)	PUNCT
ejpam-502	19	26	for	for	ADP
ejpam-502	19	27	all	all	DET
ejpam-502	19	28	s	s	PROPN
ejpam-502	19	29	,	,	PUNCT
ejpam-502	19	30	t	t	PROPN
ejpam-502	19	31	≥	≥	NUM
ejpam-502	19	32	0	0	NUM
ejpam-502	19	33	,	,	PUNCT
ejpam-502	19	34	the	the	DET
ejpam-502	19	35	semigroup	semigroup	ADJ
ejpam-502	19	36	property	property	NOUN
ejpam-502	19	37	.	.	PUNCT
ejpam-502	20	1	∗corresponding	∗corresponde	VERB
ejpam-502	20	2	author	author	NOUN
ejpam-502	20	3	.	.	PUNCT
ejpam-502	21	1	email	email	NOUN
ejpam-502	21	2	address	address	NOUN
ejpam-502	21	3	:	:	PUNCT
ejpam-502	21	4	roshdi�ju.edu.jo	roshdi�ju.edu.jo	PROPN
ejpam-502	21	5	(	(	PUNCT
ejpam-502	21	6	r.	r.	PROPN
ejpam-502	21	7	khalil	khalil	PROPN
ejpam-502	21	8	)	)	PUNCT
ejpam-502	21	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-502	22	1	881	881	NUM
ejpam-502	22	2	c	c	X
ejpam-502	22	3	©	©	PROPN
ejpam-502	22	4	2010	2010	NUM
ejpam-502	22	5	ejpam	ejpam	NOUN
ejpam-502	22	6	all	all	DET
ejpam-502	22	7	rights	right	NOUN
ejpam-502	22	8	reserved	reserve	VERB
ejpam-502	22	9	.	.	PUNCT
ejpam-502	23	1	r.	r.	PROPN
ejpam-502	23	2	khalil	khalil	PROPN
ejpam-502	23	3	,	,	PUNCT
ejpam-502	23	4	r.	r.	PROPN
ejpam-502	23	5	al	al	PROPN
ejpam-502	23	6	-	-	PUNCT
ejpam-502	23	7	mirbati	mirbati	PROPN
ejpam-502	23	8	,	,	PUNCT
ejpam-502	23	9	d.	d.	PROPN
ejpam-502	23	10	drissi	drissi	PROPN
ejpam-502	23	11	/	/	PUNCT
ejpam-502	23	12	eur	eur	PROPN
ejpam-502	23	13	.	.	PUNCT
ejpam-502	24	1	j.	j.	PROPN
ejpam-502	24	2	pure	pure	PROPN
ejpam-502	24	3	appl	appl	PROPN
ejpam-502	24	4	.	.	PROPN
ejpam-502	24	5	math	math	PROPN
ejpam-502	24	6	,	,	PUNCT
ejpam-502	24	7	3	3	NUM
ejpam-502	24	8	(	(	PUNCT
ejpam-502	24	9	2010	2010	NUM
ejpam-502	24	10	)	)	PUNCT
ejpam-502	24	11	,	,	PUNCT
ejpam-502	24	12	881	881	NUM
ejpam-502	24	13	-	-	SYM
ejpam-502	24	14	898	898	NUM
ejpam-502	24	15	882	882	NUM
ejpam-502	24	16	the	the	DET
ejpam-502	24	17	linear	linear	ADJ
ejpam-502	24	18	operator	operator	NOUN
ejpam-502	24	19	a	a	DET
ejpam-502	24	20	whose	whose	DET
ejpam-502	24	21	domain	domain	NOUN
ejpam-502	24	22	d(a	d(a	PROPN
ejpam-502	24	23	)	)	PUNCT
ejpam-502	24	24	is	be	AUX
ejpam-502	24	25	given	give	VERB
ejpam-502	24	26	by	by	ADP
ejpam-502	24	27	d(a	d(a	PROPN
ejpam-502	24	28	)	)	PUNCT
ejpam-502	24	29	=	=	SYM
ejpam-502	24	30	�	�	PROPN
ejpam-502	24	31	x	x	SYM
ejpam-502	24	32	∈	∈	PROPN
ejpam-502	24	33	x	x	X
ejpam-502	24	34	:	:	PUNCT
ejpam-502	24	35	lim	lim	PROPN
ejpam-502	24	36	t→0	t→0	PROPN
ejpam-502	24	37	+	+	PROPN
ejpam-502	24	38	t	t	PROPN
ejpam-502	24	39	(	(	PUNCT
ejpam-502	24	40	t)x	t)x	PUNCT
ejpam-502	24	41	−	−	PROPN
ejpam-502	24	42	x	x	SYM
ejpam-502	24	43	t	t	PROPN
ejpam-502	24	44	exists	exist	VERB
ejpam-502	24	45	�	�	NOUN
ejpam-502	24	46	such	such	ADJ
ejpam-502	24	47	that	that	DET
ejpam-502	24	48	ax	ax	NOUN
ejpam-502	24	49	=	=	PROPN
ejpam-502	24	50	lim	lim	PROPN
ejpam-502	24	51	t→0	t→0	PROPN
ejpam-502	24	52	+	+	PROPN
ejpam-502	24	53	t	t	PROPN
ejpam-502	24	54	(	(	PUNCT
ejpam-502	24	55	t)x	t)x	PUNCT
ejpam-502	24	56	−	−	PROPN
ejpam-502	24	57	x	x	SYM
ejpam-502	24	58	t	t	NOUN
ejpam-502	24	59	=	=	PUNCT
ejpam-502	24	60	d+	d+	PUNCT
ejpam-502	24	61	d	d	X
ejpam-502	24	62	t	t	X
ejpam-502	24	63	(	(	PUNCT
ejpam-502	24	64	t	t	PROPN
ejpam-502	24	65	(	(	PUNCT
ejpam-502	24	66	t)x	t)x	ADJ
ejpam-502	24	67	)	)	PUNCT
ejpam-502	24	68	|t=0	|t=0	PROPN
ejpam-502	24	69	for	for	ADP
ejpam-502	24	70	x	x	SYM
ejpam-502	24	71	∈d(a	∈d(a	PROPN
ejpam-502	24	72	)	)	PUNCT
ejpam-502	24	73	is	be	AUX
ejpam-502	24	74	called	call	VERB
ejpam-502	24	75	the	the	DET
ejpam-502	24	76	infinitesimal	infinitesimal	ADJ
ejpam-502	24	77	generator	generator	NOUN
ejpam-502	24	78	of	of	ADP
ejpam-502	24	79	the	the	DET
ejpam-502	24	80	semigroup	semigroup	NOUN
ejpam-502	24	81	(	(	PUNCT
ejpam-502	24	82	t	t	PROPN
ejpam-502	24	83	(	(	PUNCT
ejpam-502	24	84	t))t≥0	t))t≥0	PROPN
ejpam-502	24	85	.	.	PUNCT
ejpam-502	25	1	the	the	DET
ejpam-502	25	2	generator	generator	NOUN
ejpam-502	25	3	a	a	PRON
ejpam-502	25	4	is	be	AUX
ejpam-502	25	5	always	always	ADV
ejpam-502	25	6	a	a	DET
ejpam-502	25	7	closed	closed	ADJ
ejpam-502	25	8	,	,	PUNCT
ejpam-502	25	9	densely	densely	ADV
ejpam-502	25	10	defined	define	VERB
ejpam-502	25	11	operator	operator	NOUN
ejpam-502	25	12	.	.	PUNCT
ejpam-502	26	1	it	it	PRON
ejpam-502	26	2	is	be	AUX
ejpam-502	26	3	well	well	ADV
ejpam-502	26	4	known	know	VERB
ejpam-502	26	5	that	that	SCONJ
ejpam-502	26	6	,	,	PUNCT
ejpam-502	26	7	when	when	SCONJ
ejpam-502	26	8	a	a	PRON
ejpam-502	26	9	is	be	AUX
ejpam-502	26	10	a	a	DET
ejpam-502	26	11	densely	densely	ADV
ejpam-502	26	12	defined	define	VERB
ejpam-502	26	13	linear	linear	ADJ
ejpam-502	26	14	operator	operator	NOUN
ejpam-502	26	15	with	with	ADP
ejpam-502	26	16	non	non	ADJ
ejpam-502	26	17	empty	empty	ADJ
ejpam-502	26	18	resolvent	resolvent	ADJ
ejpam-502	26	19	set	set	NOUN
ejpam-502	26	20	,	,	PUNCT
ejpam-502	26	21	then	then	ADV
ejpam-502	26	22	the	the	DET
ejpam-502	26	23	abstract	abstract	ADJ
ejpam-502	26	24	cauchy	cauchy	ADJ
ejpam-502	26	25	problem	problem	NOUN
ejpam-502	26	26	has	have	VERB
ejpam-502	26	27	a	a	DET
ejpam-502	26	28	unique	unique	ADJ
ejpam-502	26	29	solution	solution	NOUN
ejpam-502	26	30	,	,	PUNCT
ejpam-502	26	31	for	for	ADP
ejpam-502	26	32	all	all	DET
ejpam-502	26	33	x	x	NOUN
ejpam-502	26	34	in	in	ADP
ejpam-502	26	35	the	the	DET
ejpam-502	26	36	domain	domain	NOUN
ejpam-502	26	37	of	of	ADP
ejpam-502	26	38	a	a	PRON
ejpam-502	26	39	,	,	PUNCT
ejpam-502	26	40	if	if	SCONJ
ejpam-502	26	41	and	and	CCONJ
ejpam-502	26	42	only	only	ADV
ejpam-502	26	43	if	if	SCONJ
ejpam-502	26	44	a	a	PRON
ejpam-502	26	45	generates	generate	VERB
ejpam-502	26	46	a	a	DET
ejpam-502	26	47	strongly	strongly	ADV
ejpam-502	26	48	continuous	continuous	ADJ
ejpam-502	26	49	semigroup	semigroup	NOUN
ejpam-502	26	50	.	.	PUNCT
ejpam-502	27	1	(	(	PUNCT
ejpam-502	27	2	pazy	pazy	NOUN
ejpam-502	27	3	,	,	PUNCT
ejpam-502	27	4	[	[	X
ejpam-502	27	5	9	9	NUM
ejpam-502	27	6	,	,	PUNCT
ejpam-502	27	7	10	10	NUM
ejpam-502	27	8	]	]	PUNCT
ejpam-502	27	9	,	,	PUNCT
ejpam-502	27	10	goldstein	goldstein	PROPN
ejpam-502	27	11	,	,	PUNCT
ejpam-502	27	12	[	[	X
ejpam-502	27	13	3	3	NUM
ejpam-502	27	14	]	]	NUM
ejpam-502	27	15	)	)	PUNCT
ejpam-502	27	16	.	.	PUNCT
ejpam-502	28	1	there	there	PRON
ejpam-502	28	2	are	be	VERB
ejpam-502	28	3	many	many	ADJ
ejpam-502	28	4	important	important	ADJ
ejpam-502	28	5	results	result	NOUN
ejpam-502	28	6	on	on	ADP
ejpam-502	28	7	one	one	NUM
ejpam-502	28	8	parameter	parameter	NOUN
ejpam-502	28	9	semigroups	semigroup	NOUN
ejpam-502	28	10	of	of	ADP
ejpam-502	28	11	operators	operator	NOUN
ejpam-502	28	12	.	.	PUNCT
ejpam-502	29	1	we	we	PRON
ejpam-502	29	2	mention	mention	VERB
ejpam-502	29	3	two	two	NUM
ejpam-502	29	4	of	of	ADP
ejpam-502	29	5	such	such	ADJ
ejpam-502	29	6	results	result	NOUN
ejpam-502	29	7	:	:	PUNCT
ejpam-502	29	8	i.	i.	NOUN
ejpam-502	29	9	characterization	characterization	NOUN
ejpam-502	29	10	of	of	ADP
ejpam-502	29	11	the	the	DET
ejpam-502	29	12	infinitesimal	infinitesimal	ADJ
ejpam-502	29	13	generator	generator	NOUN
ejpam-502	29	14	of	of	ADP
ejpam-502	29	15	a	a	DET
ejpam-502	29	16	semigroup	semigroup	PROPN
ejpam-502	29	17	.	.	PUNCT
ejpam-502	29	18	ii	ii	PROPN
ejpam-502	29	19	.	.	PUNCT
ejpam-502	30	1	“	"	PUNCT
ejpam-502	30	2	hille	hille	PROPN
ejpam-502	30	3	-	-	PUNCT
ejpam-502	30	4	yosida	yosida	PROPN
ejpam-502	30	5	theorem	theorem	PROPN
ejpam-502	30	6	”	"	PUNCT
ejpam-502	30	7	:	:	PUNCT
ejpam-502	30	8	the	the	DET
ejpam-502	30	9	norm	norm	NOUN
ejpam-502	30	10	of	of	ADP
ejpam-502	30	11	the	the	DET
ejpam-502	30	12	resolvent	resolvent	ADJ
ejpam-502	30	13	operator	operator	NOUN
ejpam-502	30	14	rλ	rλ	ADP
ejpam-502	30	15	(	(	PUNCT
ejpam-502	30	16	a	a	NOUN
ejpam-502	30	17	)	)	PUNCT
ejpam-502	30	18	of	of	ADP
ejpam-502	30	19	the	the	DET
ejpam-502	30	20	infinitesimal	infinitesimal	ADJ
ejpam-502	30	21	generator	generator	NOUN
ejpam-502	30	22	of	of	ADP
ejpam-502	30	23	a	a	DET
ejpam-502	30	24	c0	c0	PROPN
ejpam-502	30	25	semigroup	semigroup	PROPN
ejpam-502	30	26	tends	tend	VERB
ejpam-502	30	27	to	to	ADP
ejpam-502	30	28	zero	zero	NUM
ejpam-502	30	29	at	at	ADP
ejpam-502	30	30	infinity	infinity	NOUN
ejpam-502	30	31	.	.	PUNCT
ejpam-502	31	1	more	more	ADV
ejpam-502	31	2	precisely	precisely	ADV
ejpam-502	31	3	,	,	PUNCT
ejpam-502	31	4	rλ(a	rλ(a	NOUN
ejpam-502	31	5	)	)	PUNCT
ejpam-502	31	6	≤	≤	NUM
ejpam-502	31	7	m	m	VERB
ejpam-502	31	8	λ−ω	λ−ω	NOUN
ejpam-502	31	9	for	for	ADP
ejpam-502	31	10	large	large	ADJ
ejpam-502	31	11	λ	λ	NOUN
ejpam-502	31	12	,	,	PUNCT
ejpam-502	31	13	which	which	PRON
ejpam-502	31	14	is	be	AUX
ejpam-502	31	15	known	know	VERB
ejpam-502	31	16	as	as	ADP
ejpam-502	31	17	the	the	DET
ejpam-502	31	18	hille	hille	PROPN
ejpam-502	31	19	-	-	PUNCT
ejpam-502	31	20	yosida	yosida	PROPN
ejpam-502	31	21	inequality	inequality	NOUN
ejpam-502	31	22	.	.	PUNCT
ejpam-502	32	1	in	in	ADP
ejpam-502	32	2	this	this	DET
ejpam-502	32	3	paper	paper	NOUN
ejpam-502	32	4	,	,	PUNCT
ejpam-502	32	5	we	we	PRON
ejpam-502	32	6	introduce	introduce	VERB
ejpam-502	32	7	what	what	PRON
ejpam-502	32	8	we	we	PRON
ejpam-502	32	9	call	call	VERB
ejpam-502	32	10	a	a	DET
ejpam-502	32	11	tensor	tensor	NOUN
ejpam-502	32	12	product	product	NOUN
ejpam-502	32	13	semigroup	semigroup	NOUN
ejpam-502	32	14	.	.	PUNCT
ejpam-502	33	1	we	we	PRON
ejpam-502	33	2	show	show	VERB
ejpam-502	33	3	that	that	SCONJ
ejpam-502	33	4	every	every	DET
ejpam-502	33	5	tensor	tensor	NOUN
ejpam-502	33	6	product	product	NOUN
ejpam-502	33	7	semigroup	semigroup	NOUN
ejpam-502	33	8	is	be	AUX
ejpam-502	33	9	a	a	DET
ejpam-502	33	10	two	two	NUM
ejpam-502	33	11	parameter	parameter	NOUN
ejpam-502	33	12	semigroup	semigroup	NOUN
ejpam-502	33	13	.	.	PUNCT
ejpam-502	34	1	we	we	PRON
ejpam-502	34	2	study	study	VERB
ejpam-502	34	3	the	the	DET
ejpam-502	34	4	relation	relation	NOUN
ejpam-502	34	5	between	between	ADP
ejpam-502	34	6	a	a	DET
ejpam-502	34	7	tensor	tensor	NOUN
ejpam-502	34	8	product	product	NOUN
ejpam-502	34	9	semigroup	semigroup	NOUN
ejpam-502	34	10	and	and	CCONJ
ejpam-502	34	11	its	its	PRON
ejpam-502	34	12	components	component	NOUN
ejpam-502	34	13	.	.	PUNCT
ejpam-502	35	1	as	as	SCONJ
ejpam-502	35	2	not	not	PART
ejpam-502	35	3	every	every	DET
ejpam-502	35	4	two	two	NUM
ejpam-502	35	5	parameter	parameter	NOUN
ejpam-502	35	6	semigroup	semigroup	NOUN
ejpam-502	35	7	on	on	ADP
ejpam-502	35	8	x	x	SYM
ejpam-502	35	9	α⊗	α⊗	PROPN
ejpam-502	35	10	y	y	PROPN
ejpam-502	35	11	defines	define	VERB
ejpam-502	35	12	a	a	DET
ejpam-502	35	13	t.p.s	t.p.s	NOUN
ejpam-502	35	14	.	.	PUNCT
ejpam-502	35	15	,	,	PUNCT
ejpam-502	35	16	we	we	PRON
ejpam-502	35	17	present	present	VERB
ejpam-502	35	18	a	a	DET
ejpam-502	35	19	condition	condition	NOUN
ejpam-502	35	20	under	under	ADP
ejpam-502	35	21	which	which	PRON
ejpam-502	35	22	a	a	DET
ejpam-502	35	23	two	two	NUM
ejpam-502	35	24	parameter	parameter	NOUN
ejpam-502	35	25	semigroup	semigroup	NOUN
ejpam-502	35	26	be	be	AUX
ejpam-502	35	27	a	a	DET
ejpam-502	35	28	t.p.s	t.p.s	NOUN
ejpam-502	35	29	.	.	PUNCT
ejpam-502	36	1	we	we	PRON
ejpam-502	36	2	show	show	VERB
ejpam-502	36	3	that	that	SCONJ
ejpam-502	36	4	the	the	DET
ejpam-502	36	5	operator	operator	NOUN
ejpam-502	36	6	a1⊗	a1⊗	NOUN
ejpam-502	37	1	i	i	PRON
ejpam-502	37	2	+	+	NUM
ejpam-502	37	3	i	i	PROPN
ejpam-502	37	4	⊗	⊗	PROPN
ejpam-502	37	5	a2	a2	PROPN
ejpam-502	37	6	,	,	PUNCT
ejpam-502	37	7	is	be	AUX
ejpam-502	37	8	the	the	DET
ejpam-502	37	9	infinitesimal	infinitesimal	ADJ
ejpam-502	37	10	generator	generator	NOUN
ejpam-502	37	11	of	of	ADP
ejpam-502	37	12	a	a	DET
ejpam-502	37	13	c0	c0	PROPN
ejpam-502	37	14	t.p.s	t.p.s	PROPN
ejpam-502	37	15	.	.	PUNCT
ejpam-502	37	16	,	,	PUNCT
ejpam-502	37	17	where	where	SCONJ
ejpam-502	37	18	a1,a2	a1,a2	PROPN
ejpam-502	37	19	generate	generate	VERB
ejpam-502	37	20	the	the	DET
ejpam-502	37	21	semigroup	semigroup	ADJ
ejpam-502	37	22	components	component	NOUN
ejpam-502	37	23	of	of	ADP
ejpam-502	37	24	the	the	DET
ejpam-502	37	25	t.p.s	t.p.s	PROPN
ejpam-502	37	26	.	.	PUNCT
ejpam-502	37	27	.	.	PUNCT
ejpam-502	38	1	equality	equality	NOUN
ejpam-502	38	2	of	of	ADP
ejpam-502	38	3	a1	a1	NOUN
ejpam-502	39	1	⊗	⊗	PROPN
ejpam-502	40	1	i	i	PRON
ejpam-502	41	1	+	+	NUM
ejpam-502	42	1	i	i	PROPN
ejpam-502	42	2	⊗	⊗	PROPN
ejpam-502	42	3	a2	a2	PROPN
ejpam-502	42	4	and	and	CCONJ
ejpam-502	42	5	a1	a1	NOUN
ejpam-502	42	6	⊗	⊗	PROPN
ejpam-502	43	1	i	i	PRON
ejpam-502	44	1	+	+	CCONJ
ejpam-502	44	2	i	i	PROPN
ejpam-502	44	3	⊗	⊗	PROPN
ejpam-502	44	4	a2	a2	PROPN
ejpam-502	44	5	is	be	AUX
ejpam-502	44	6	proved	prove	VERB
ejpam-502	44	7	as	as	ADV
ejpam-502	44	8	well	well	ADV
ejpam-502	44	9	.	.	PUNCT
ejpam-502	45	1	throughout	throughout	ADP
ejpam-502	45	2	this	this	DET
ejpam-502	45	3	paper	paper	NOUN
ejpam-502	45	4	,	,	PUNCT
ejpam-502	45	5	x	x	X
ejpam-502	45	6	∨⊗y	∨⊗y	X
ejpam-502	45	7	(	(	PUNCT
ejpam-502	45	8	x	x	SYM
ejpam-502	45	9	∧⊗y	∧⊗y	PROPN
ejpam-502	45	10	)	)	PUNCT
ejpam-502	45	11	denote	denote	VERB
ejpam-502	45	12	the	the	DET
ejpam-502	45	13	completion	completion	NOUN
ejpam-502	45	14	of	of	ADP
ejpam-502	45	15	the	the	DET
ejpam-502	45	16	injective	injective	ADJ
ejpam-502	45	17	(	(	PUNCT
ejpam-502	45	18	the	the	DET
ejpam-502	45	19	projective	projective	ADJ
ejpam-502	45	20	)	)	PUNCT
ejpam-502	45	21	tensor	tensor	NOUN
ejpam-502	45	22	products	product	NOUN
ejpam-502	45	23	of	of	ADP
ejpam-502	45	24	x	x	PROPN
ejpam-502	45	25	and	and	CCONJ
ejpam-502	45	26	y	y	PROPN
ejpam-502	45	27	.	.	PUNCT
ejpam-502	46	1	if	if	SCONJ
ejpam-502	46	2	p	p	PROPN
ejpam-502	46	3	and	and	CCONJ
ejpam-502	46	4	q	q	NOUN
ejpam-502	46	5	are	be	AUX
ejpam-502	46	6	elements	element	NOUN
ejpam-502	46	7	in	in	ADP
ejpam-502	46	8	l(x	l(x	PROPN
ejpam-502	46	9	)	)	PUNCT
ejpam-502	46	10	and	and	CCONJ
ejpam-502	46	11	l(y	l(y	PROPN
ejpam-502	46	12	)	)	PUNCT
ejpam-502	46	13	respectively	respectively	ADV
ejpam-502	46	14	,	,	PUNCT
ejpam-502	46	15	then	then	ADV
ejpam-502	46	16	p⊗q	p⊗q	NOUN
ejpam-502	46	17	denotes	denote	VERB
ejpam-502	46	18	the	the	DET
ejpam-502	46	19	tensor	tensor	NOUN
ejpam-502	46	20	product	product	NOUN
ejpam-502	46	21	operator	operator	NOUN
ejpam-502	46	22	on	on	ADP
ejpam-502	46	23	x	x	PROPN
ejpam-502	46	24	⊗	⊗	PROPN
ejpam-502	46	25	y	y	PROPN
ejpam-502	46	26	.	.	PUNCT
ejpam-502	47	1	further	far	ADV
ejpam-502	47	2	,	,	PUNCT
ejpam-502	47	3	we	we	PRON
ejpam-502	47	4	write	write	VERB
ejpam-502	47	5	x	x	INTJ
ejpam-502	47	6	α⊗	α⊗	ADP
ejpam-502	47	7	y	y	PROPN
ejpam-502	47	8	to	to	PART
ejpam-502	47	9	denote	denote	VERB
ejpam-502	47	10	either	either	DET
ejpam-502	47	11	one	one	NUM
ejpam-502	47	12	of	of	ADP
ejpam-502	47	13	the	the	DET
ejpam-502	47	14	tensor	tensor	NOUN
ejpam-502	47	15	products	product	NOUN
ejpam-502	47	16	(	(	PUNCT
ejpam-502	47	17	the	the	DET
ejpam-502	47	18	projective	projective	NOUN
ejpam-502	47	19	or	or	CCONJ
ejpam-502	47	20	the	the	DET
ejpam-502	47	21	injective	injective	ADJ
ejpam-502	47	22	)	)	PUNCT
ejpam-502	47	23	.	.	PUNCT
ejpam-502	48	1	for	for	ADP
ejpam-502	48	2	more	more	ADJ
ejpam-502	48	3	details	detail	NOUN
ejpam-502	48	4	on	on	ADP
ejpam-502	48	5	tensor	tensor	NOUN
ejpam-502	48	6	product	product	NOUN
ejpam-502	48	7	spaces	space	NOUN
ejpam-502	48	8	and	and	CCONJ
ejpam-502	48	9	tensor	tensor	NOUN
ejpam-502	48	10	product	product	NOUN
ejpam-502	48	11	of	of	ADP
ejpam-502	48	12	operators	operator	NOUN
ejpam-502	48	13	,	,	PUNCT
ejpam-502	48	14	we	we	PRON
ejpam-502	48	15	refer	refer	VERB
ejpam-502	48	16	the	the	DET
ejpam-502	48	17	reader	reader	NOUN
ejpam-502	48	18	to	to	ADP
ejpam-502	48	19	[	[	X
ejpam-502	48	20	8	8	NUM
ejpam-502	48	21	]	]	SYM
ejpam-502	48	22	.	.	PUNCT
ejpam-502	49	1	2	2	X
ejpam-502	49	2	.	.	NOUN
ejpam-502	49	3	tensor	tensor	NOUN
ejpam-502	49	4	product	product	NOUN
ejpam-502	49	5	semigroups	semigroup	VERB
ejpam-502	49	6	definition	definition	NOUN
ejpam-502	49	7	1	1	X
ejpam-502	49	8	.	.	PUNCT
ejpam-502	50	1	let	let	VERB
ejpam-502	50	2	x	x	PRON
ejpam-502	50	3	,	,	PUNCT
ejpam-502	50	4	y	y	PROPN
ejpam-502	50	5	be	be	VERB
ejpam-502	50	6	banach	banach	ADV
ejpam-502	50	7	spaces	space	NOUN
ejpam-502	50	8	,	,	PUNCT
ejpam-502	50	9	and	and	CCONJ
ejpam-502	50	10	(	(	PUNCT
ejpam-502	50	11	t	t	PROPN
ejpam-502	50	12	(	(	PUNCT
ejpam-502	50	13	s))s≥0	s))s≥0	PROPN
ejpam-502	50	14	,	,	PUNCT
ejpam-502	50	15	(	(	PUNCT
ejpam-502	50	16	s(t))t≥0	s(t))t≥0	X
ejpam-502	50	17	be	be	AUX
ejpam-502	50	18	one	one	NUM
ejpam-502	50	19	parameter	parameter	NOUN
ejpam-502	50	20	families	family	NOUN
ejpam-502	50	21	of	of	ADP
ejpam-502	50	22	operators	operator	NOUN
ejpam-502	50	23	in	in	ADP
ejpam-502	50	24	l	l	PROPN
ejpam-502	50	25	(	(	PUNCT
ejpam-502	50	26	x	x	PROPN
ejpam-502	50	27	)	)	PUNCT
ejpam-502	50	28	,	,	PUNCT
ejpam-502	50	29	l	l	X
ejpam-502	50	30	(	(	PUNCT
ejpam-502	50	31	y	y	PROPN
ejpam-502	50	32	)	)	PUNCT
ejpam-502	50	33	respectively	respectively	ADV
ejpam-502	50	34	.	.	PUNCT
ejpam-502	51	1	the	the	DET
ejpam-502	51	2	family	family	NOUN
ejpam-502	51	3	(	(	PUNCT
ejpam-502	51	4	t	t	PROPN
ejpam-502	51	5	(	(	PUNCT
ejpam-502	51	6	s)⊗	s)⊗	PROPN
ejpam-502	51	7	s(t))s	s(t))s	PROPN
ejpam-502	51	8	,	,	PUNCT
ejpam-502	51	9	t≥0	t≥0	NOUN
ejpam-502	51	10	is	be	AUX
ejpam-502	51	11	called	call	VERB
ejpam-502	51	12	a	a	DET
ejpam-502	51	13	tensor	tensor	NOUN
ejpam-502	51	14	product	product	NOUN
ejpam-502	51	15	semigroup	semigroup	NOUN
ejpam-502	51	16	,	,	PUNCT
ejpam-502	51	17	(	(	PUNCT
ejpam-502	51	18	abbreviated	abbreviate	VERB
ejpam-502	51	19	t.p.s	t.p.s	NOUN
ejpam-502	51	20	.	.	PUNCT
ejpam-502	51	21	)	)	PUNCT
ejpam-502	52	1	on	on	ADP
ejpam-502	52	2	the	the	DET
ejpam-502	52	3	banach	banach	NOUN
ejpam-502	52	4	space	space	NOUN
ejpam-502	52	5	x	x	INTJ
ejpam-502	52	6	α⊗	α⊗	VERB
ejpam-502	52	7	y	y	PROPN
ejpam-502	52	8	if	if	SCONJ
ejpam-502	52	9	1	1	NUM
ejpam-502	52	10	.	.	X
ejpam-502	52	11	t	t	PROPN
ejpam-502	52	12	(	(	PUNCT
ejpam-502	52	13	0)⊗	0)⊗	NUM
ejpam-502	52	14	s(0	s(0	PROPN
ejpam-502	52	15	)	)	PUNCT
ejpam-502	52	16	=	=	PUNCT
ejpam-502	53	1	ix⊗y	ix⊗y	ADP
ejpam-502	53	2	,	,	PUNCT
ejpam-502	53	3	2	2	X
ejpam-502	53	4	.	.	X
ejpam-502	53	5	t	t	PROPN
ejpam-502	53	6	(	(	PUNCT
ejpam-502	53	7	s1	s1	NOUN
ejpam-502	53	8	+	+	NUM
ejpam-502	53	9	s2)⊗	s2)⊗	NUM
ejpam-502	53	10	s(t1	s(t1	NOUN
ejpam-502	53	11	+	+	CCONJ
ejpam-502	53	12	t2	t2	NOUN
ejpam-502	53	13	)	)	PUNCT
ejpam-502	53	14	=	=	SYM
ejpam-502	53	15	�	�	PROPN
ejpam-502	53	16	t	t	PROPN
ejpam-502	53	17	(	(	PUNCT
ejpam-502	53	18	s1)⊗	s1)⊗	PROPN
ejpam-502	53	19	s(t1	s(t1	PROPN
ejpam-502	53	20	)	)	PUNCT
ejpam-502	53	21	�	�	PROPN
ejpam-502	53	22	�	�	PROPN
ejpam-502	53	23	t	t	PROPN
ejpam-502	53	24	(	(	PUNCT
ejpam-502	53	25	s2)⊗	s2)⊗	NOUN
ejpam-502	53	26	s(t2	s(t2	NOUN
ejpam-502	53	27	)	)	PUNCT
ejpam-502	53	28	�	�	PROPN
ejpam-502	53	29	,	,	PUNCT
ejpam-502	53	30	r.	r.	PROPN
ejpam-502	53	31	khalil	khalil	PROPN
ejpam-502	53	32	,	,	PUNCT
ejpam-502	53	33	r.	r.	PROPN
ejpam-502	53	34	al	al	PROPN
ejpam-502	53	35	-	-	PUNCT
ejpam-502	53	36	mirbati	mirbati	PROPN
ejpam-502	53	37	,	,	PUNCT
ejpam-502	53	38	d.	d.	PROPN
ejpam-502	53	39	drissi	drissi	PROPN
ejpam-502	53	40	/	/	PUNCT
ejpam-502	53	41	eur	eur	PROPN
ejpam-502	53	42	.	.	PUNCT
ejpam-502	54	1	j.	j.	PROPN
ejpam-502	54	2	pure	pure	PROPN
ejpam-502	54	3	appl	appl	PROPN
ejpam-502	54	4	.	.	PROPN
ejpam-502	54	5	math	math	PROPN
ejpam-502	54	6	,	,	PUNCT
ejpam-502	54	7	3	3	NUM
ejpam-502	54	8	(	(	PUNCT
ejpam-502	54	9	2010	2010	NUM
ejpam-502	54	10	)	)	PUNCT
ejpam-502	54	11	,	,	PUNCT
ejpam-502	54	12	881	881	NUM
ejpam-502	54	13	-	-	SYM
ejpam-502	54	14	898	898	NUM
ejpam-502	54	15	883	883	NUM
ejpam-502	54	16	this	this	PRON
ejpam-502	54	17	is	be	AUX
ejpam-502	54	18	equivalent	equivalent	ADJ
ejpam-502	54	19	to	to	ADP
ejpam-502	54	20	t	t	PROPN
ejpam-502	54	21	(	(	PUNCT
ejpam-502	54	22	0	0	NUM
ejpam-502	54	23	)	)	PUNCT
ejpam-502	54	24	α⊗	α⊗	NOUN
ejpam-502	54	25	s(0	s(0	PROPN
ejpam-502	54	26	)	)	PUNCT
ejpam-502	55	1	=	=	PUNCT
ejpam-502	56	1	i	i	NOUN
ejpam-502	56	2	x	x	PROPN
ejpam-502	56	3	α⊗y	α⊗y	VERB
ejpam-502	56	4	and	and	CCONJ
ejpam-502	56	5	t	t	PROPN
ejpam-502	56	6	(	(	PUNCT
ejpam-502	56	7	s1	s1	PROPN
ejpam-502	56	8	+	+	CCONJ
ejpam-502	56	9	s2	s2	PROPN
ejpam-502	56	10	)	)	PUNCT
ejpam-502	56	11	α⊗	α⊗	NOUN
ejpam-502	56	12	s(t1	s(t1	NOUN
ejpam-502	56	13	+	+	CCONJ
ejpam-502	56	14	t2	t2	NOUN
ejpam-502	56	15	)	)	PUNCT
ejpam-502	56	16	=	=	SYM
ejpam-502	56	17	�	�	PROPN
ejpam-502	56	18	t	t	PROPN
ejpam-502	56	19	(	(	PUNCT
ejpam-502	56	20	s1	s1	PROPN
ejpam-502	56	21	)	)	PUNCT
ejpam-502	56	22	α⊗	α⊗	PROPN
ejpam-502	56	23	s(t1	s(t1	PROPN
ejpam-502	56	24	)	)	PUNCT
ejpam-502	56	25	�	�	PROPN
ejpam-502	56	26	�	�	PROPN
ejpam-502	56	27	t	t	PROPN
ejpam-502	56	28	(	(	PUNCT
ejpam-502	56	29	s2	s2	PROPN
ejpam-502	56	30	)	)	PUNCT
ejpam-502	56	31	α⊗	α⊗	NOUN
ejpam-502	56	32	s(t2	s(t2	NOUN
ejpam-502	56	33	)	)	PUNCT
ejpam-502	56	34	�	�	PROPN
ejpam-502	56	35	.	.	PUNCT
ejpam-502	57	1	thus	thus	ADV
ejpam-502	57	2	the	the	DET
ejpam-502	57	3	family	family	NOUN
ejpam-502	57	4	�	�	PROPN
ejpam-502	57	5	t	t	PROPN
ejpam-502	57	6	(	(	PUNCT
ejpam-502	57	7	s	s	NOUN
ejpam-502	57	8	)	)	PUNCT
ejpam-502	57	9	α⊗	α⊗	NOUN
ejpam-502	57	10	s(t	s(t	PROPN
ejpam-502	57	11	)	)	PUNCT
ejpam-502	57	12	�	�	PROPN
ejpam-502	57	13	s	s	PART
ejpam-502	57	14	,	,	PUNCT
ejpam-502	57	15	t≥0	t≥0	NOUN
ejpam-502	57	16	is	be	AUX
ejpam-502	57	17	a	a	DET
ejpam-502	57	18	t.p.s	t.p.s	NOUN
ejpam-502	57	19	.	.	PUNCT
ejpam-502	58	1	defined	define	VERB
ejpam-502	58	2	on	on	ADP
ejpam-502	58	3	the	the	DET
ejpam-502	58	4	complete	complete	ADJ
ejpam-502	58	5	space	space	NOUN
ejpam-502	58	6	x	x	INTJ
ejpam-502	58	7	α⊗	α⊗	NOUN
ejpam-502	58	8	y	y	PROPN
ejpam-502	58	9	.	.	PUNCT
ejpam-502	59	1	for	for	ADP
ejpam-502	59	2	short	short	ADJ
ejpam-502	59	3	,	,	PUNCT
ejpam-502	59	4	we	we	PRON
ejpam-502	59	5	will	will	AUX
ejpam-502	59	6	write	write	VERB
ejpam-502	59	7	(	(	PUNCT
ejpam-502	59	8	t	t	PROPN
ejpam-502	59	9	(	(	PUNCT
ejpam-502	59	10	s)⊗	s)⊗	PROPN
ejpam-502	59	11	s(t))s	s(t))s	PROPN
ejpam-502	59	12	,	,	PUNCT
ejpam-502	59	13	t≥0	t≥0	NOUN
ejpam-502	59	14	for	for	ADP
ejpam-502	59	15	�	�	PROPN
ejpam-502	59	16	t	t	PROPN
ejpam-502	59	17	(	(	PUNCT
ejpam-502	59	18	s	s	NOUN
ejpam-502	59	19	)	)	PUNCT
ejpam-502	59	20	α⊗	α⊗	NOUN
ejpam-502	59	21	s(t	s(t	PROPN
ejpam-502	59	22	)	)	PUNCT
ejpam-502	59	23	�	�	PROPN
ejpam-502	59	24	s	s	PROPN
ejpam-502	59	25	,	,	PUNCT
ejpam-502	59	26	t≥0	t≥0	NOUN
ejpam-502	59	27	,	,	PUNCT
ejpam-502	59	28	and	and	CCONJ
ejpam-502	59	29	i	i	PRON
ejpam-502	59	30	for	for	ADP
ejpam-502	59	31	each	each	PRON
ejpam-502	59	32	of	of	ADP
ejpam-502	59	33	ix⊗y	ix⊗y	ADV
ejpam-502	59	34	,	,	PUNCT
ejpam-502	59	35	and	and	CCONJ
ejpam-502	59	36	i	i	PRON
ejpam-502	59	37	x	x	PROPN
ejpam-502	59	38	α⊗y	α⊗y	ADJ
ejpam-502	59	39	.	.	PUNCT
ejpam-502	60	1	it	it	PRON
ejpam-502	60	2	should	should	AUX
ejpam-502	60	3	be	be	AUX
ejpam-502	60	4	remarked	remark	VERB
ejpam-502	60	5	that	that	SCONJ
ejpam-502	60	6	if	if	SCONJ
ejpam-502	60	7	we	we	PRON
ejpam-502	60	8	know	know	VERB
ejpam-502	60	9	t	t	PROPN
ejpam-502	60	10	(	(	PUNCT
ejpam-502	60	11	s)⊗	s)⊗	PROPN
ejpam-502	60	12	s(t	s(t	PROPN
ejpam-502	60	13	)	)	PUNCT
ejpam-502	60	14	on	on	ADP
ejpam-502	60	15	x	x	PROPN
ejpam-502	60	16	⊗	⊗	PROPN
ejpam-502	60	17	y	y	PROPN
ejpam-502	60	18	,	,	PUNCT
ejpam-502	60	19	then	then	ADV
ejpam-502	60	20	we	we	PRON
ejpam-502	60	21	know	know	VERB
ejpam-502	60	22	t	t	PROPN
ejpam-502	60	23	(	(	PUNCT
ejpam-502	60	24	s	s	NOUN
ejpam-502	60	25	)	)	PUNCT
ejpam-502	60	26	α⊗	α⊗	NOUN
ejpam-502	60	27	s(t	s(t	PROPN
ejpam-502	60	28	)	)	PUNCT
ejpam-502	60	29	on	on	ADP
ejpam-502	60	30	x	x	SYM
ejpam-502	60	31	α⊗	α⊗	PROPN
ejpam-502	60	32	y	y	PROPN
ejpam-502	60	33	.	.	PUNCT
ejpam-502	61	1	one	one	PRON
ejpam-502	61	2	can	can	AUX
ejpam-502	61	3	define	define	VERB
ejpam-502	61	4	a	a	DET
ejpam-502	61	5	t.p.s	t.p.s	NOUN
ejpam-502	61	6	.	.	PUNCT
ejpam-502	62	1	(	(	PUNCT
ejpam-502	62	2	t	t	PROPN
ejpam-502	62	3	(	(	PUNCT
ejpam-502	62	4	s)⊗	s)⊗	PROPN
ejpam-502	62	5	s(t))s	s(t))s	PROPN
ejpam-502	62	6	,	,	PUNCT
ejpam-502	62	7	t≥0	t≥0	NOUN
ejpam-502	62	8	,	,	PUNCT
ejpam-502	62	9	to	to	PART
ejpam-502	62	10	be	be	AUX
ejpam-502	62	11	uniformly	uniformly	ADV
ejpam-502	62	12	continuous	continuous	ADJ
ejpam-502	62	13	on	on	ADP
ejpam-502	62	14	x	x	SYM
ejpam-502	62	15	α⊗	α⊗	NOUN
ejpam-502	62	16	y	y	PROPN
ejpam-502	63	1	if	if	SCONJ
ejpam-502	63	2	lim	lim	PROPN
ejpam-502	63	3	(	(	PUNCT
ejpam-502	63	4	s	s	PROPN
ejpam-502	63	5	,	,	PUNCT
ejpam-502	63	6	t)→(0+,0	t)→(0+,0	NOUN
ejpam-502	63	7	+	+	NOUN
ejpam-502	63	8	)	)	PUNCT
ejpam-502	63	9	‖t	‖t	NOUN
ejpam-502	63	10	(	(	PUNCT
ejpam-502	63	11	s)⊗	s)⊗	PROPN
ejpam-502	63	12	s(t)−	s(t)−	PROPN
ejpam-502	63	13	i	i	PRON
ejpam-502	63	14	⊗	⊗	PROPN
ejpam-502	63	15	i‖	i‖	X
ejpam-502	63	16	=	=	SYM
ejpam-502	63	17	0	0	NUM
ejpam-502	63	18	,	,	PUNCT
ejpam-502	63	19	and	and	CCONJ
ejpam-502	63	20	to	to	PART
ejpam-502	63	21	be	be	AUX
ejpam-502	63	22	strongly	strongly	ADV
ejpam-502	63	23	continuous	continuous	ADJ
ejpam-502	63	24	on	on	ADP
ejpam-502	63	25	x	x	SYM
ejpam-502	63	26	α⊗	α⊗	PROPN
ejpam-502	63	27	y	y	PROPN
ejpam-502	63	28	(	(	PUNCT
ejpam-502	63	29	c0	c0	PROPN
ejpam-502	63	30	)	)	PUNCT
ejpam-502	64	1	if	if	SCONJ
ejpam-502	64	2	lim	lim	PROPN
ejpam-502	64	3	(	(	PUNCT
ejpam-502	64	4	s	s	PROPN
ejpam-502	64	5	,	,	PUNCT
ejpam-502	64	6	t)→(0+,0	t)→(0+,0	NOUN
ejpam-502	64	7	+	+	NOUN
ejpam-502	64	8	)	)	PUNCT
ejpam-502	64	9	t	t	PROPN
ejpam-502	64	10	(	(	PUNCT
ejpam-502	64	11	s	s	NOUN
ejpam-502	64	12	)	)	PUNCT
ejpam-502	64	13	α⊗	α⊗	NOUN
ejpam-502	64	14	s(t)z	s(t)z	PROPN
ejpam-502	64	15	−	−	PROPN
ejpam-502	64	16	z	z	NOUN
ejpam-502	64	17	=	=	NOUN
ejpam-502	64	18	0	0	NUM
ejpam-502	64	19	for	for	ADP
ejpam-502	64	20	all	all	DET
ejpam-502	64	21	z	z	NOUN
ejpam-502	64	22	∈	∈	NOUN
ejpam-502	64	23	x	x	X
ejpam-502	64	24	α⊗	α⊗	PROPN
ejpam-502	64	25	y	y	PROPN
ejpam-502	65	1	.	.	PUNCT
ejpam-502	66	1	one	one	PRON
ejpam-502	66	2	can	can	AUX
ejpam-502	66	3	easily	easily	ADV
ejpam-502	66	4	see	see	VERB
ejpam-502	66	5	that	that	SCONJ
ejpam-502	66	6	the	the	DET
ejpam-502	66	7	limit	limit	NOUN
ejpam-502	66	8	in	in	ADP
ejpam-502	66	9	(	(	PUNCT
ejpam-502	66	10	2	2	X
ejpam-502	66	11	)	)	PUNCT
ejpam-502	66	12	can	can	AUX
ejpam-502	66	13	be	be	AUX
ejpam-502	66	14	replaced	replace	VERB
ejpam-502	66	15	by	by	ADP
ejpam-502	66	16	lim	lim	PROPN
ejpam-502	66	17	(	(	PUNCT
ejpam-502	66	18	s	s	PROPN
ejpam-502	66	19	,	,	PUNCT
ejpam-502	66	20	t)→(0+,0	t)→(0+,0	NOUN
ejpam-502	66	21	+	+	NOUN
ejpam-502	66	22	)	)	PUNCT
ejpam-502	66	23	(	(	PUNCT
ejpam-502	66	24	t	t	PROPN
ejpam-502	66	25	(	(	PUNCT
ejpam-502	66	26	s)⊗	s)⊗	PROPN
ejpam-502	66	27	s(t	s(t	PROPN
ejpam-502	66	28	)	)	PUNCT
ejpam-502	66	29	)	)	PUNCT
ejpam-502	67	1	�	�	PROPN
ejpam-502	67	2	x	x	PUNCT
ejpam-502	67	3	⊗	⊗	PROPN
ejpam-502	67	4	y	y	PROPN
ejpam-502	67	5	�	�	PROPN
ejpam-502	67	6	−	−	NOUN
ejpam-502	67	7	x	x	SYM
ejpam-502	67	8	⊗	⊗	PROPN
ejpam-502	67	9	y	y	PROPN
ejpam-502	67	10	=	=	SYM
ejpam-502	67	11	0	0	PROPN
ejpam-502	67	12	,	,	PUNCT
ejpam-502	67	13	for	for	ADP
ejpam-502	67	14	all	all	DET
ejpam-502	67	15	x	x	SYM
ejpam-502	67	16	∈	∈	PROPN
ejpam-502	67	17	x	x	X
ejpam-502	67	18	,	,	PUNCT
ejpam-502	67	19	y	y	PROPN
ejpam-502	67	20	∈	∈	PROPN
ejpam-502	67	21	y	y	PROPN
ejpam-502	67	22	.	.	PUNCT
ejpam-502	68	1	the	the	DET
ejpam-502	68	2	proof	proof	NOUN
ejpam-502	68	3	is	be	AUX
ejpam-502	68	4	a	a	DET
ejpam-502	68	5	consequence	consequence	NOUN
ejpam-502	68	6	of	of	ADP
ejpam-502	68	7	the	the	DET
ejpam-502	68	8	following	follow	VERB
ejpam-502	68	9	lemma	lemma	PROPN
ejpam-502	68	10	1	1	X
ejpam-502	68	11	.	.	PUNCT
ejpam-502	69	1	let	let	VERB
ejpam-502	69	2	x	x	PRON
ejpam-502	69	3	,	,	PUNCT
ejpam-502	69	4	y	y	PROPN
ejpam-502	69	5	be	be	VERB
ejpam-502	69	6	banach	banach	NOUN
ejpam-502	69	7	spaces	space	NOUN
ejpam-502	69	8	and	and	CCONJ
ejpam-502	69	9	α	α	PRON
ejpam-502	69	10	be	be	VERB
ejpam-502	69	11	a	a	DET
ejpam-502	69	12	uniform	uniform	ADJ
ejpam-502	69	13	crossnorm	crossnorm	NOUN
ejpam-502	69	14	on	on	ADP
ejpam-502	69	15	x	x	PROPN
ejpam-502	69	16	⊗	⊗	PROPN
ejpam-502	69	17	y	y	PROPN
ejpam-502	69	18	.	.	PUNCT
ejpam-502	70	1	if	if	SCONJ
ejpam-502	70	2	�	�	PROPN
ejpam-502	70	3	ai	ai	VERB
ejpam-502	70	4	⊗	⊗	PROPN
ejpam-502	70	5	bi	bi	PROPN
ejpam-502	70	6	�	�	PROPN
ejpam-502	70	7	z	z	PROPN
ejpam-502	70	8	−	−	PROPN
ejpam-502	71	1	(	(	PUNCT
ejpam-502	71	2	a⊗	a⊗	NOUN
ejpam-502	71	3	b	b	NOUN
ejpam-502	71	4	)	)	PUNCT
ejpam-502	71	5	z	z	NOUN
ejpam-502	71	6	→	→	SYM
ejpam-502	71	7	0	0	NUM
ejpam-502	71	8	as	as	ADP
ejpam-502	71	9	i→∞	i→∞	NOUN
ejpam-502	71	10	,	,	PUNCT
ejpam-502	71	11	for	for	ADP
ejpam-502	71	12	all	all	DET
ejpam-502	71	13	z	z	NOUN
ejpam-502	71	14	∈	∈	PROPN
ejpam-502	71	15	x	x	X
ejpam-502	71	16	⊗	⊗	PROPN
ejpam-502	71	17	y	y	PROPN
ejpam-502	71	18	and	and	CCONJ
ejpam-502	71	19	none	none	NOUN
ejpam-502	71	20	of	of	ADP
ejpam-502	71	21	the	the	DET
ejpam-502	71	22	sequences	sequence	NOUN
ejpam-502	71	23	�	�	PROPN
ejpam-502	71	24	ai	ai	VERB
ejpam-502	71	25	�	�	PROPN
ejpam-502	71	26	,	,	PUNCT
ejpam-502	71	27	�	�	PROPN
ejpam-502	71	28	bi	bi	PROPN
ejpam-502	71	29	�	�	PROPN
ejpam-502	71	30	has	have	VERB
ejpam-502	71	31	a	a	DET
ejpam-502	71	32	subsequence	subsequence	NOUN
ejpam-502	71	33	that	that	PRON
ejpam-502	71	34	converges	converge	VERB
ejpam-502	71	35	to	to	ADP
ejpam-502	71	36	zero	zero	NUM
ejpam-502	71	37	pointwise	pointwise	NOUN
ejpam-502	71	38	,	,	PUNCT
ejpam-502	71	39	then	then	ADV
ejpam-502	71	40	�	�	PROPN
ejpam-502	71	41	ai	ai	VERB
ejpam-502	71	42	⊗	⊗	PROPN
ejpam-502	71	43	bi	bi	PROPN
ejpam-502	71	44	�	�	PROPN
ejpam-502	72	1	i	i	PRON
ejpam-502	72	2	is	be	AUX
ejpam-502	72	3	uniformly	uniformly	ADV
ejpam-502	72	4	bonded	bond	VERB
ejpam-502	72	5	.	.	PUNCT
ejpam-502	73	1	moreover	moreover	ADV
ejpam-502	73	2	,	,	PUNCT
ejpam-502	73	3	each	each	PRON
ejpam-502	73	4	of	of	ADP
ejpam-502	73	5	�	�	PROPN
ejpam-502	73	6	ai	ai	VERB
ejpam-502	73	7	�	�	PROPN
ejpam-502	74	1	i	i	PRON
ejpam-502	74	2	,	,	PUNCT
ejpam-502	74	3	�	�	PROPN
ejpam-502	74	4	bi	bi	PROPN
ejpam-502	74	5	�	�	PROPN
ejpam-502	74	6	i	i	PRON
ejpam-502	74	7	is	be	AUX
ejpam-502	74	8	uniformly	uniformly	ADV
ejpam-502	74	9	bounded	bound	VERB
ejpam-502	74	10	.	.	PUNCT
ejpam-502	75	1	proof	proof	NOUN
ejpam-502	75	2	.	.	PUNCT
ejpam-502	76	1	for	for	ADP
ejpam-502	76	2	a	a	DET
ejpam-502	76	3	fixed	fix	VERB
ejpam-502	76	4	0	0	NUM
ejpam-502	76	5	6=	6=	NUM
ejpam-502	76	6	x0	x0	PROPN
ejpam-502	76	7	∈	∈	PROPN
ejpam-502	76	8	x	x	PUNCT
ejpam-502	76	9	one	one	PRON
ejpam-502	76	10	can	can	AUX
ejpam-502	76	11	see	see	VERB
ejpam-502	76	12	that	that	SCONJ
ejpam-502	76	13	each	each	DET
ejpam-502	76	14	vector	vector	NOUN
ejpam-502	76	15	in	in	ADP
ejpam-502	76	16	the	the	DET
ejpam-502	76	17	space	space	NOUN
ejpam-502	76	18	�	�	PROPN
ejpam-502	76	19	x0	x0	PROPN
ejpam-502	76	20	�	�	PROPN
ejpam-502	76	21	⊗	⊗	PROPN
ejpam-502	76	22	y	y	PROPN
ejpam-502	76	23	is	be	AUX
ejpam-502	76	24	of	of	ADP
ejpam-502	76	25	the	the	DET
ejpam-502	76	26	form	form	NOUN
ejpam-502	76	27	x0	x0	PROPN
ejpam-502	76	28	⊗	⊗	PROPN
ejpam-502	76	29	y	y	PROPN
ejpam-502	76	30	for	for	ADP
ejpam-502	76	31	some	some	DET
ejpam-502	76	32	y	y	PROPN
ejpam-502	76	33	∈	∈	PROPN
ejpam-502	76	34	y	y	PROPN
ejpam-502	76	35	.	.	PUNCT
ejpam-502	77	1	therefore	therefore	ADV
ejpam-502	77	2	,	,	PUNCT
ejpam-502	77	3	�	�	PROPN
ejpam-502	77	4	x0	x0	PROPN
ejpam-502	77	5	�	�	PROPN
ejpam-502	77	6	⊗	⊗	PROPN
ejpam-502	77	7	y	y	PROPN
ejpam-502	77	8	is	be	AUX
ejpam-502	77	9	a	a	DET
ejpam-502	77	10	banach	banach	NOUN
ejpam-502	77	11	space	space	NOUN
ejpam-502	77	12	.	.	PUNCT
ejpam-502	78	1	since	since	SCONJ
ejpam-502	78	2	�	�	PROPN
ejpam-502	78	3	ai	ai	VERB
ejpam-502	78	4	⊗	⊗	PROPN
ejpam-502	78	5	bi	bi	PROPN
ejpam-502	78	6	�	�	PROPN
ejpam-502	78	7	z	z	PROPN
ejpam-502	78	8	−	−	PROPN
ejpam-502	78	9	(	(	PUNCT
ejpam-502	78	10	a⊗	a⊗	NOUN
ejpam-502	78	11	b	b	NOUN
ejpam-502	78	12	)	)	PUNCT
ejpam-502	78	13	z	z	NOUN
ejpam-502	78	14	i→∞,→	i→∞,→	NOUN
ejpam-502	78	15	0	0	NUM
ejpam-502	78	16	for	for	ADP
ejpam-502	78	17	every	every	DET
ejpam-502	78	18	z	z	PROPN
ejpam-502	78	19	∈	∈	PROPN
ejpam-502	78	20	�	�	PROPN
ejpam-502	78	21	x0	x0	PROPN
ejpam-502	78	22	�	�	PROPN
ejpam-502	78	23	⊗y	⊗y	NOUN
ejpam-502	78	24	,	,	PUNCT
ejpam-502	78	25	then	then	ADV
ejpam-502	78	26	�	�	PROPN
ejpam-502	78	27	ai	ai	VERB
ejpam-502	78	28	⊗	⊗	PROPN
ejpam-502	78	29	bi	bi	PROPN
ejpam-502	78	30	�	�	PROPN
ejpam-502	78	31	is	be	AUX
ejpam-502	78	32	a	a	DET
ejpam-502	78	33	pointwise	pointwise	ADV
ejpam-502	78	34	bounded	bound	VERB
ejpam-502	78	35	sequence	sequence	NOUN
ejpam-502	78	36	of	of	ADP
ejpam-502	78	37	bounded	bounded	ADJ
ejpam-502	78	38	operators	operator	NOUN
ejpam-502	78	39	on	on	ADP
ejpam-502	78	40	the	the	DET
ejpam-502	78	41	banach	banach	NOUN
ejpam-502	78	42	space	space	NOUN
ejpam-502	78	43	�	�	PROPN
ejpam-502	78	44	x0	x0	PROPN
ejpam-502	78	45	�	�	PROPN
ejpam-502	78	46	⊗y	⊗y	NOUN
ejpam-502	78	47	.	.	PUNCT
ejpam-502	79	1	which	which	PRON
ejpam-502	79	2	implies	imply	VERB
ejpam-502	79	3	by	by	ADP
ejpam-502	79	4	the	the	DET
ejpam-502	79	5	uniform	uniform	PROPN
ejpam-502	79	6	boundedness	boundedness	PROPN
ejpam-502	79	7	principle	principle	NOUN
ejpam-502	79	8	that	that	SCONJ
ejpam-502	79	9	�	�	PROPN
ejpam-502	79	10	�	�	PROPN
ejpam-502	79	11	ai	ai	VERB
ejpam-502	79	12	⊗	⊗	PROPN
ejpam-502	79	13	bi	bi	PROPN
ejpam-502	79	14	�	�	PROPN
ejpam-502	79	15	|[x0]⊗y	|[x0]⊗y	PROPN
ejpam-502	79	16	�	�	PROPN
ejpam-502	79	17	i	i	PRON
ejpam-502	79	18	is	be	AUX
ejpam-502	79	19	uniformly	uniformly	ADV
ejpam-502	79	20	bounded	bound	VERB
ejpam-502	79	21	.	.	PUNCT
ejpam-502	80	1	that	that	PRON
ejpam-502	80	2	is	be	AUX
ejpam-502	80	3	�	�	PROPN
ejpam-502	80	4	ai	ai	VERB
ejpam-502	80	5	⊗	⊗	PROPN
ejpam-502	80	6	bi	bi	PROPN
ejpam-502	80	7	�	�	PROPN
ejpam-502	80	8	|[x0]⊗y	|[x0]⊗y	PROPN
ejpam-502	80	9	≤	≤	NUM
ejpam-502	80	10	c	c	NOUN
ejpam-502	80	11	for	for	ADP
ejpam-502	80	12	all	all	DET
ejpam-502	80	13	i.	i.	NOUN
ejpam-502	80	14	but	but	CCONJ
ejpam-502	80	15	�	�	PROPN
ejpam-502	81	1	ai	ai	VERB
ejpam-502	81	2	⊗	⊗	PROPN
ejpam-502	81	3	bi	bi	PROPN
ejpam-502	81	4	�	�	PROPN
ejpam-502	81	5	|[x0]⊗y	|[x0]⊗y	PROPN
ejpam-502	81	6	=	=	PUNCT
ejpam-502	81	7	sup	sup	NOUN
ejpam-502	81	8	y∈y	y∈y	NOUN
ejpam-502	81	9	‖x0⊗y‖=1	‖x0⊗y‖=1	PART
ejpam-502	81	10	�	�	VERB
ejpam-502	81	11	ai	ai	VERB
ejpam-502	81	12	⊗	⊗	PROPN
ejpam-502	81	13	bi	bi	PROPN
ejpam-502	81	14	�	�	PROPN
ejpam-502	81	15	�	�	PROPN
ejpam-502	81	16	x0	x0	PROPN
ejpam-502	81	17	⊗	⊗	PROPN
ejpam-502	81	18	y	y	PROPN
ejpam-502	81	19	�	�	PROPN
ejpam-502	81	20	=	=	PUNCT
ejpam-502	81	21	sup	sup	NOUN
ejpam-502	81	22	y∈y	y∈y	NOUN
ejpam-502	81	23	‖y‖=	‖y‖=	ADP
ejpam-502	81	24	1	1	NUM
ejpam-502	81	25	‖x0‖	‖x0‖	PROPN
ejpam-502	81	26	�	�	PROPN
ejpam-502	81	27	ai	ai	VERB
ejpam-502	81	28	⊗	⊗	PROPN
ejpam-502	81	29	bi	bi	PROPN
ejpam-502	81	30	�	�	PROPN
ejpam-502	81	31	�	�	PROPN
ejpam-502	81	32	x0	x0	PROPN
ejpam-502	81	33	⊗	⊗	PROPN
ejpam-502	81	34	y	y	PROPN
ejpam-502	81	35	�	�	PROPN
ejpam-502	81	36	r.	r.	PROPN
ejpam-502	81	37	khalil	khalil	PROPN
ejpam-502	81	38	,	,	PUNCT
ejpam-502	81	39	r.	r.	PROPN
ejpam-502	81	40	al	al	PROPN
ejpam-502	81	41	-	-	PUNCT
ejpam-502	81	42	mirbati	mirbati	PROPN
ejpam-502	81	43	,	,	PUNCT
ejpam-502	81	44	d.	d.	PROPN
ejpam-502	81	45	drissi	drissi	PROPN
ejpam-502	81	46	/	/	PUNCT
ejpam-502	81	47	eur	eur	PROPN
ejpam-502	81	48	.	.	PUNCT
ejpam-502	82	1	j.	j.	PROPN
ejpam-502	82	2	pure	pure	PROPN
ejpam-502	82	3	appl	appl	PROPN
ejpam-502	82	4	.	.	PROPN
ejpam-502	82	5	math	math	PROPN
ejpam-502	82	6	,	,	PUNCT
ejpam-502	82	7	3	3	NUM
ejpam-502	82	8	(	(	PUNCT
ejpam-502	82	9	2010	2010	NUM
ejpam-502	82	10	)	)	PUNCT
ejpam-502	82	11	,	,	PUNCT
ejpam-502	82	12	881	881	NUM
ejpam-502	82	13	-	-	SYM
ejpam-502	82	14	898	898	NUM
ejpam-502	82	15	884	884	NUM
ejpam-502	82	16	=	=	NOUN
ejpam-502	82	17	sup	sup	NOUN
ejpam-502	82	18	y∈y	y∈y	NOUN
ejpam-502	82	19	‖y‖=1	‖y‖=1	PROPN
ejpam-502	82	20	ai	ai	VERB
ejpam-502	82	21	x0	x0	PROPN
ejpam-502	83	1	⊗	⊗	PROPN
ejpam-502	84	1	bi	bi	PROPN
ejpam-502	85	1	y	y	PROPN
ejpam-502	86	1	=	=	PUNCT
ejpam-502	87	1	sup	sup	NOUN
ejpam-502	88	1	y∈y	y∈y	NOUN
ejpam-502	88	2	‖y‖=1	‖y‖=1	PROPN
ejpam-502	88	3	ai	ai	VERB
ejpam-502	88	4	x0	x0	PROPN
ejpam-502	88	5	bi	bi	PROPN
ejpam-502	88	6	y	y	PROPN
ejpam-502	88	7	.	.	PUNCT
ejpam-502	89	1	thus	thus	ADV
ejpam-502	89	2	sup	sup	NOUN
ejpam-502	89	3	i	i	PRON
ejpam-502	89	4			VERB
ejpam-502	89	5			ADJ
ejpam-502	89	6	sup	sup	NOUN
ejpam-502	90	1	y∈y	y∈y	NOUN
ejpam-502	90	2	‖y‖=1	‖y‖=1	PROPN
ejpam-502	90	3	ai	ai	VERB
ejpam-502	90	4	x0	x0	PROPN
ejpam-502	90	5	bi	bi	PROPN
ejpam-502	90	6	y	y	PROPN
ejpam-502	90	7			PROPN
ejpam-502	91	1			PUNCT
ejpam-502	92	1	≤	≤	NUM
ejpam-502	92	2	c.	c.	NOUN
ejpam-502	92	3	in	in	ADP
ejpam-502	92	4	other	other	ADJ
ejpam-502	92	5	words	word	NOUN
ejpam-502	92	6	ai	ai	VERB
ejpam-502	92	7	x0	x0	PROPN
ejpam-502	92	8	bi	bi	PROPN
ejpam-502	92	9	y	y	PROPN
ejpam-502	92	10	≤	≤	PROPN
ejpam-502	92	11	c	c	PROPN
ejpam-502	92	12	for	for	ADP
ejpam-502	92	13	all	all	DET
ejpam-502	92	14	i	i	PRON
ejpam-502	92	15	for	for	ADP
ejpam-502	92	16	all	all	DET
ejpam-502	92	17	y	y	PROPN
ejpam-502	92	18	∈	∈	PROPN
ejpam-502	92	19	y	y	PROPN
ejpam-502	92	20	.	.	PUNCT
ejpam-502	93	1	under	under	ADP
ejpam-502	93	2	the	the	DET
ejpam-502	93	3	assumption	assumption	NOUN
ejpam-502	93	4	that	that	PRON
ejpam-502	93	5	ai	ai	INTJ
ejpam-502	93	6	x0	x0	PROPN
ejpam-502	93	7	does	do	AUX
ejpam-502	93	8	not	not	PART
ejpam-502	93	9	converge	converge	VERB
ejpam-502	93	10	to	to	ADP
ejpam-502	93	11	zero	zero	NUM
ejpam-502	93	12	,	,	PUNCT
ejpam-502	93	13	we	we	PRON
ejpam-502	93	14	obtain	obtain	VERB
ejpam-502	93	15	that	that	SCONJ
ejpam-502	93	16	�	�	PROPN
ejpam-502	93	17	bi	bi	PROPN
ejpam-502	93	18	�	�	PROPN
ejpam-502	93	19	is	be	AUX
ejpam-502	93	20	uniformly	uniformly	ADV
ejpam-502	93	21	bounded	bound	VERB
ejpam-502	93	22	on	on	ADP
ejpam-502	93	23	y	y	PROPN
ejpam-502	93	24	.	.	PUNCT
ejpam-502	94	1	repeating	repeat	VERB
ejpam-502	94	2	the	the	DET
ejpam-502	94	3	same	same	ADJ
ejpam-502	94	4	approach	approach	NOUN
ejpam-502	94	5	and	and	CCONJ
ejpam-502	94	6	choosing	choose	VERB
ejpam-502	94	7	0	0	NUM
ejpam-502	94	8	6=	6=	NUM
ejpam-502	94	9	y0	y0	PROPN
ejpam-502	94	10	∈	∈	PROPN
ejpam-502	94	11	y	y	NOUN
ejpam-502	94	12	,	,	PUNCT
ejpam-502	94	13	one	one	PRON
ejpam-502	94	14	can	can	AUX
ejpam-502	94	15	show	show	VERB
ejpam-502	94	16	that	that	SCONJ
ejpam-502	94	17	�	�	PROPN
ejpam-502	94	18	ai	ai	VERB
ejpam-502	94	19	�	�	PROPN
ejpam-502	94	20	is	be	AUX
ejpam-502	94	21	uniformly	uniformly	ADV
ejpam-502	94	22	bounded	bound	VERB
ejpam-502	94	23	on	on	ADP
ejpam-502	94	24	x	x	X
ejpam-502	94	25	.	.	PUNCT
ejpam-502	95	1	the	the	DET
ejpam-502	95	2	lemma	lemma	PROPN
ejpam-502	95	3	is	be	AUX
ejpam-502	95	4	then	then	ADV
ejpam-502	95	5	completely	completely	ADV
ejpam-502	95	6	proved	prove	VERB
ejpam-502	95	7	.	.	PUNCT
ejpam-502	96	1	one	one	PRON
ejpam-502	96	2	can	can	AUX
ejpam-502	96	3	easily	easily	ADV
ejpam-502	96	4	prove	prove	VERB
ejpam-502	96	5	the	the	DET
ejpam-502	96	6	following	follow	VERB
ejpam-502	96	7	result	result	NOUN
ejpam-502	96	8	.	.	PUNCT
ejpam-502	97	1	lemma	lemma	PROPN
ejpam-502	97	2	2	2	X
ejpam-502	97	3	.	.	PUNCT
ejpam-502	98	1	let	let	VERB
ejpam-502	98	2	x	x	PRON
ejpam-502	98	3	,	,	PUNCT
ejpam-502	98	4	y	y	PROPN
ejpam-502	98	5	be	be	VERB
ejpam-502	98	6	banach	banach	NOUN
ejpam-502	98	7	spaces	space	NOUN
ejpam-502	98	8	and	and	CCONJ
ejpam-502	98	9	(	(	PUNCT
ejpam-502	98	10	t	t	PROPN
ejpam-502	98	11	(	(	PUNCT
ejpam-502	98	12	s))s≥0	s))s≥0	PROPN
ejpam-502	98	13	,	,	PUNCT
ejpam-502	98	14	(	(	PUNCT
ejpam-502	98	15	s(t))t≥0	s(t))t≥0	PROPN
ejpam-502	98	16	,	,	PUNCT
ejpam-502	98	17	be	be	VERB
ejpam-502	98	18	one	one	NUM
ejpam-502	98	19	parameter	parameter	NOUN
ejpam-502	98	20	families	family	NOUN
ejpam-502	98	21	of	of	ADP
ejpam-502	98	22	operators	operator	NOUN
ejpam-502	98	23	in	in	ADP
ejpam-502	98	24	l	l	PROPN
ejpam-502	98	25	(	(	PUNCT
ejpam-502	98	26	x	x	PROPN
ejpam-502	98	27	)	)	PUNCT
ejpam-502	98	28	,	,	PUNCT
ejpam-502	98	29	l	l	X
ejpam-502	98	30	(	(	PUNCT
ejpam-502	98	31	y	y	PROPN
ejpam-502	98	32	)	)	PUNCT
ejpam-502	98	33	respectively	respectively	ADV
ejpam-502	98	34	.	.	PUNCT
ejpam-502	99	1	then	then	ADV
ejpam-502	99	2	the	the	DET
ejpam-502	99	3	following	follow	VERB
ejpam-502	99	4	are	be	AUX
ejpam-502	99	5	equivalent	equivalent	ADJ
ejpam-502	99	6	:	:	PUNCT
ejpam-502	99	7	a.	a.	PROPN
ejpam-502	99	8	t	t	PROPN
ejpam-502	99	9	(	(	PUNCT
ejpam-502	99	10	s	s	X
ejpam-502	99	11	)	)	PUNCT
ejpam-502	99	12	is	be	AUX
ejpam-502	99	13	a	a	DET
ejpam-502	99	14	one	one	NUM
ejpam-502	99	15	parameter	parameter	NOUN
ejpam-502	99	16	semigroup	semigroup	NOUN
ejpam-502	99	17	on	on	ADP
ejpam-502	99	18	x	x	X
ejpam-502	99	19	.	.	PUNCT
ejpam-502	100	1	b.	b.	PROPN
ejpam-502	100	2	t	t	PROPN
ejpam-502	100	3	(	(	PUNCT
ejpam-502	100	4	s)⊗	s)⊗	PROPN
ejpam-502	100	5	i	i	PRON
ejpam-502	100	6	is	be	AUX
ejpam-502	100	7	a	a	DET
ejpam-502	100	8	one	one	NUM
ejpam-502	100	9	parameter	parameter	NOUN
ejpam-502	100	10	semigroup	semigroup	NOUN
ejpam-502	100	11	on	on	ADP
ejpam-502	100	12	x	x	SYM
ejpam-502	100	13	α⊗	α⊗	PROPN
ejpam-502	100	14	y	y	PROPN
ejpam-502	100	15	.	.	PUNCT
ejpam-502	101	1	c.	c.	PROPN
ejpam-502	101	2	i	i	PRON
ejpam-502	101	3	⊗	⊗	PROPN
ejpam-502	101	4	t	t	PROPN
ejpam-502	101	5	(	(	PUNCT
ejpam-502	101	6	s	s	X
ejpam-502	101	7	)	)	PUNCT
ejpam-502	101	8	is	be	AUX
ejpam-502	101	9	a	a	DET
ejpam-502	101	10	one	one	NUM
ejpam-502	101	11	parameter	parameter	NOUN
ejpam-502	101	12	semigroup	semigroup	NOUN
ejpam-502	101	13	on	on	ADP
ejpam-502	101	14	y	y	PROPN
ejpam-502	101	15	α⊗	α⊗	PROPN
ejpam-502	102	1	x	x	X
ejpam-502	102	2	.	.	PUNCT
ejpam-502	103	1	the	the	DET
ejpam-502	103	2	following	follow	VERB
ejpam-502	103	3	lemma	lemma	PROPN
ejpam-502	103	4	is	be	AUX
ejpam-502	103	5	essential	essential	ADJ
ejpam-502	103	6	for	for	ADP
ejpam-502	103	7	theorem	theorem	NOUN
ejpam-502	103	8	1	1	NUM
ejpam-502	103	9	.	.	PUNCT
ejpam-502	104	1	its	its	PRON
ejpam-502	104	2	proof	proof	NOUN
ejpam-502	104	3	is	be	AUX
ejpam-502	104	4	different	different	ADJ
ejpam-502	104	5	from	from	ADP
ejpam-502	104	6	the	the	DET
ejpam-502	104	7	proof	proof	NOUN
ejpam-502	104	8	in	in	ADP
ejpam-502	104	9	[	[	X
ejpam-502	104	10	7	7	NUM
ejpam-502	104	11	]	]	PUNCT
ejpam-502	104	12	.	.	PUNCT
ejpam-502	105	1	lemma	lemma	PROPN
ejpam-502	105	2	3	3	X
ejpam-502	105	3	.	.	PUNCT
ejpam-502	106	1	let	let	VERB
ejpam-502	106	2	x	x	PRON
ejpam-502	106	3	,	,	PUNCT
ejpam-502	106	4	y	y	PROPN
ejpam-502	106	5	be	be	VERB
ejpam-502	106	6	banach	banach	ADV
ejpam-502	106	7	spaces	space	NOUN
ejpam-502	106	8	,	,	PUNCT
ejpam-502	106	9	α	α	PROPN
ejpam-502	106	10	any	any	DET
ejpam-502	106	11	crossnorm	crossnorm	NOUN
ejpam-502	106	12	on	on	ADP
ejpam-502	106	13	x	x	PROPN
ejpam-502	106	14	⊗	⊗	PROPN
ejpam-502	106	15	y	y	PROPN
ejpam-502	106	16	.	.	PUNCT
ejpam-502	107	1	let	let	VERB
ejpam-502	107	2	a	a	PRON
ejpam-502	107	3	,	,	PUNCT
ejpam-502	107	4	c	c	PROPN
ejpam-502	107	5	∈	∈	PROPN
ejpam-502	107	6	x	x	X
ejpam-502	107	7	,	,	PUNCT
ejpam-502	107	8	b	b	X
ejpam-502	107	9	,	,	PUNCT
ejpam-502	107	10	d	d	PROPN
ejpam-502	107	11	∈	∈	PROPN
ejpam-502	107	12	y	y	PROPN
ejpam-502	107	13	be	be	AUX
ejpam-502	107	14	nonzero	nonzero	PROPN
ejpam-502	107	15	vectors	vector	NOUN
ejpam-502	107	16	.	.	PUNCT
ejpam-502	108	1	if	if	SCONJ
ejpam-502	108	2	a⊗	a⊗	PROPN
ejpam-502	108	3	b	b	X
ejpam-502	108	4	=	=	SYM
ejpam-502	108	5	c	c	PROPN
ejpam-502	108	6	⊗	⊗	PROPN
ejpam-502	108	7	d	d	PROPN
ejpam-502	108	8	,	,	PUNCT
ejpam-502	108	9	then	then	ADV
ejpam-502	108	10	there	there	PRON
ejpam-502	108	11	exists	exist	VERB
ejpam-502	108	12	a	a	DET
ejpam-502	108	13	nonzero	nonzero	NOUN
ejpam-502	108	14	scalar	scalar	NOUN
ejpam-502	108	15	β	β	ADP
ejpam-502	108	16	such	such	DET
ejpam-502	108	17	a	a	DET
ejpam-502	108	18	=	=	X
ejpam-502	108	19	β	β	NOUN
ejpam-502	108	20	c	c	X
ejpam-502	108	21	,	,	PUNCT
ejpam-502	108	22	b	b	X
ejpam-502	108	23	=	=	SYM
ejpam-502	108	24	1	1	NUM
ejpam-502	108	25	β	β	X
ejpam-502	108	26	d.	d.	PROPN
ejpam-502	108	27	proof	proof	PROPN
ejpam-502	108	28	.	.	PUNCT
ejpam-502	109	1	let	let	VERB
ejpam-502	109	2	x∗	x∗	PROPN
ejpam-502	109	3	∈	∈	PROPN
ejpam-502	109	4	x	x	PUNCT
ejpam-502	109	5	∗.	∗.	PROPN
ejpam-502	109	6	then	then	ADV
ejpam-502	109	7	x∗	x∗	PROPN
ejpam-502	110	1	(	(	PUNCT
ejpam-502	110	2	a	a	X
ejpam-502	110	3	)	)	PUNCT
ejpam-502	110	4	b	b	NOUN
ejpam-502	110	5	=	=	SYM
ejpam-502	110	6	x∗	x∗	X
ejpam-502	110	7	(	(	PUNCT
ejpam-502	110	8	c	c	NOUN
ejpam-502	110	9	)	)	PUNCT
ejpam-502	110	10	d	d	NOUN
ejpam-502	110	11	.	.	PUNCT
ejpam-502	111	1	in	in	ADP
ejpam-502	111	2	particular	particular	ADJ
ejpam-502	111	3	,	,	PUNCT
ejpam-502	111	4	this	this	PRON
ejpam-502	111	5	holds	hold	VERB
ejpam-502	111	6	for	for	ADP
ejpam-502	111	7	an	an	DET
ejpam-502	111	8	x∗	x∗	PROPN
ejpam-502	111	9	satisfying	satisfy	VERB
ejpam-502	111	10	that	that	SCONJ
ejpam-502	111	11	x∗	x∗	PROPN
ejpam-502	111	12	(	(	PUNCT
ejpam-502	111	13	c	c	X
ejpam-502	111	14	)	)	PUNCT
ejpam-502	111	15	=	=	SYM
ejpam-502	112	1	‖c‖.	‖c‖.	PROPN
ejpam-502	112	2	that	that	PRON
ejpam-502	112	3	is	be	AUX
ejpam-502	112	4	,	,	PUNCT
ejpam-502	112	5	x∗(a	x∗(a	PROPN
ejpam-502	112	6	)	)	PUNCT
ejpam-502	112	7	‖c‖	‖c‖	PROPN
ejpam-502	113	1	b	b	X
ejpam-502	113	2	=	=	SYM
ejpam-502	113	3	d	d	PROPN
ejpam-502	113	4	.	.	PUNCT
ejpam-502	114	1	it	it	PRON
ejpam-502	114	2	is	be	AUX
ejpam-502	114	3	clear	clear	ADJ
ejpam-502	114	4	that	that	SCONJ
ejpam-502	114	5	x∗	x∗	PROPN
ejpam-502	114	6	(	(	PUNCT
ejpam-502	114	7	a	a	X
ejpam-502	114	8	)	)	PUNCT
ejpam-502	114	9	is	be	AUX
ejpam-502	114	10	not	not	PART
ejpam-502	114	11	zero	zero	NUM
ejpam-502	114	12	.	.	PUNCT
ejpam-502	115	1	choose	choose	VERB
ejpam-502	115	2	x∗(a	x∗(a	PROPN
ejpam-502	115	3	)	)	PUNCT
ejpam-502	115	4	‖c‖	‖c‖	PROPN
ejpam-502	116	1	=	=	SYM
ejpam-502	116	2	β	β	X
ejpam-502	116	3	.	.	PUNCT
ejpam-502	117	1	then	then	ADV
ejpam-502	117	2	�	�	PROPN
ejpam-502	117	3	a−	a−	PROPN
ejpam-502	117	4	β	β	X
ejpam-502	117	5	c	c	PROPN
ejpam-502	117	6	�	�	PROPN
ejpam-502	117	7	⊗	⊗	PROPN
ejpam-502	117	8	b	b	PROPN
ejpam-502	118	1	=	=	SYM
ejpam-502	118	2	0	0	PROPN
ejpam-502	118	3	.	.	PUNCT
ejpam-502	119	1	thus	thus	ADV
ejpam-502	119	2	,	,	PUNCT
ejpam-502	119	3	x∗	x∗	PROPN
ejpam-502	119	4	�	�	PROPN
ejpam-502	119	5	a−	a−	PROPN
ejpam-502	119	6	β	β	X
ejpam-502	119	7	c	c	X
ejpam-502	119	8	�	�	PROPN
ejpam-502	119	9	b	b	PROPN
ejpam-502	119	10	=	=	NOUN
ejpam-502	119	11	0	0	PROPN
ejpam-502	119	12	for	for	ADP
ejpam-502	119	13	all	all	DET
ejpam-502	119	14	x∗	x∗	PROPN
ejpam-502	119	15	∈	∈	PROPN
ejpam-502	119	16	x	x	PUNCT
ejpam-502	119	17	∗.	∗.	PUNCT
ejpam-502	119	18	choosing	choose	VERB
ejpam-502	119	19	x∗	x∗	PROPN
ejpam-502	119	20	∈	∈	PROPN
ejpam-502	119	21	x	x	PUNCT
ejpam-502	119	22	∗	∗	NOUN
ejpam-502	119	23	,	,	PUNCT
ejpam-502	119	24	such	such	ADJ
ejpam-502	119	25	that	that	SCONJ
ejpam-502	119	26	x∗	x∗	PROPN
ejpam-502	119	27	�	�	PROPN
ejpam-502	119	28	a−	a−	PROPN
ejpam-502	119	29	β	β	X
ejpam-502	119	30	c	c	X
ejpam-502	119	31	�	�	PROPN
ejpam-502	119	32	=	=	SYM
ejpam-502	119	33	a−	a−	PROPN
ejpam-502	119	34	β	β	X
ejpam-502	119	35	c	c	NOUN
ejpam-502	119	36	completes	complete	VERB
ejpam-502	119	37	the	the	DET
ejpam-502	119	38	proof	proof	NOUN
ejpam-502	119	39	.	.	PUNCT
ejpam-502	120	1	theorem	theorem	NOUN
ejpam-502	120	2	1	1	NUM
ejpam-502	120	3	.	.	PUNCT
ejpam-502	121	1	let	let	VERB
ejpam-502	121	2	x	x	PRON
ejpam-502	121	3	,	,	PUNCT
ejpam-502	121	4	y	y	PROPN
ejpam-502	121	5	be	be	VERB
ejpam-502	121	6	banach	banach	ADV
ejpam-502	121	7	spaces	space	NOUN
ejpam-502	121	8	,	,	PUNCT
ejpam-502	121	9	(	(	PUNCT
ejpam-502	121	10	t	t	PROPN
ejpam-502	121	11	(	(	PUNCT
ejpam-502	121	12	s))s≥0	s))s≥0	PROPN
ejpam-502	121	13	,	,	PUNCT
ejpam-502	121	14	(	(	PUNCT
ejpam-502	121	15	s(t))t≥0	s(t))t≥0	NOUN
ejpam-502	121	16	one	one	NUM
ejpam-502	121	17	parameter	parameter	NOUN
ejpam-502	121	18	families	family	NOUN
ejpam-502	121	19	of	of	ADP
ejpam-502	121	20	operators	operator	NOUN
ejpam-502	121	21	in	in	ADP
ejpam-502	121	22	l	l	PROPN
ejpam-502	121	23	(	(	PUNCT
ejpam-502	121	24	x	x	PROPN
ejpam-502	121	25	)	)	PUNCT
ejpam-502	121	26	,	,	PUNCT
ejpam-502	121	27	l	l	X
ejpam-502	121	28	(	(	PUNCT
ejpam-502	121	29	y	y	PROPN
ejpam-502	121	30	)	)	PUNCT
ejpam-502	121	31	respectively	respectively	ADV
ejpam-502	121	32	.	.	PUNCT
ejpam-502	122	1	then	then	ADV
ejpam-502	122	2	the	the	DET
ejpam-502	122	3	family	family	NOUN
ejpam-502	122	4	t	t	PROPN
ejpam-502	122	5	(	(	PUNCT
ejpam-502	122	6	s)⊗	s)⊗	PROPN
ejpam-502	122	7	s(t	s(t	PROPN
ejpam-502	122	8	)	)	PUNCT
ejpam-502	122	9	is	be	AUX
ejpam-502	122	10	a	a	DET
ejpam-502	122	11	t.p.s	t.p.s	NOUN
ejpam-502	122	12	.	.	PUNCT
ejpam-502	123	1	on	on	ADP
ejpam-502	123	2	x	x	SYM
ejpam-502	123	3	α⊗	α⊗	PROPN
ejpam-502	123	4	y	y	PROPN
ejpam-502	123	5	if	if	SCONJ
ejpam-502	123	6	and	and	CCONJ
ejpam-502	123	7	only	only	ADV
ejpam-502	123	8	if	if	SCONJ
ejpam-502	123	9	there	there	PRON
ejpam-502	123	10	is	be	VERB
ejpam-502	123	11	a	a	DET
ejpam-502	123	12	unique	unique	ADJ
ejpam-502	123	13	0	0	NUM
ejpam-502	123	14	6=	6=	NUM
ejpam-502	123	15	β	β	X
ejpam-502	123	16	∈	∈	ADJ
ejpam-502	123	17	r	r	NOUN
ejpam-502	123	18	,	,	PUNCT
ejpam-502	123	19	and	and	CCONJ
ejpam-502	123	20	unique	unique	ADJ
ejpam-502	123	21	one	one	NUM
ejpam-502	123	22	parameter	parameter	NOUN
ejpam-502	123	23	semigroups	semigroup	NOUN
ejpam-502	123	24	�	�	PROPN
ejpam-502	123	25	bt	bt	PROPN
ejpam-502	123	26	(	(	PUNCT
ejpam-502	123	27	s	s	NOUN
ejpam-502	123	28	)	)	PUNCT
ejpam-502	123	29	�	�	PROPN
ejpam-502	123	30	s≥0	s≥0	PROPN
ejpam-502	123	31	,	,	PUNCT
ejpam-502	123	32	�	�	PROPN
ejpam-502	123	33	bs(t	bs(t	NOUN
ejpam-502	123	34	)	)	PUNCT
ejpam-502	123	35	�	�	PROPN
ejpam-502	123	36	t≥0	t≥0	NOUN
ejpam-502	123	37	on	on	ADP
ejpam-502	123	38	x	x	SYM
ejpam-502	123	39	,	,	PUNCT
ejpam-502	123	40	y	y	PROPN
ejpam-502	123	41	respectively	respectively	ADV
ejpam-502	123	42	,	,	PUNCT
ejpam-502	123	43	such	such	ADJ
ejpam-502	123	44	that	that	PRON
ejpam-502	123	45	βt	βt	NOUN
ejpam-502	123	46	(	(	PUNCT
ejpam-502	123	47	s	s	X
ejpam-502	123	48	)	)	PUNCT
ejpam-502	123	49	=	=	SYM
ejpam-502	123	50	bt	bt	PROPN
ejpam-502	123	51	(	(	PUNCT
ejpam-502	123	52	s	s	NOUN
ejpam-502	123	53	)	)	PUNCT
ejpam-502	123	54	and	and	CCONJ
ejpam-502	123	55	1	1	NUM
ejpam-502	123	56	β	β	X
ejpam-502	123	57	s(t	s(t	PROPN
ejpam-502	123	58	)	)	PUNCT
ejpam-502	123	59	=	=	PUNCT
ejpam-502	123	60	bs(t	bs(t	X
ejpam-502	123	61	)	)	PUNCT
ejpam-502	123	62	for	for	ADP
ejpam-502	123	63	all	all	DET
ejpam-502	123	64	s	s	PROPN
ejpam-502	123	65	,	,	PUNCT
ejpam-502	123	66	t	t	PROPN
ejpam-502	123	67	≥	≥	NUM
ejpam-502	123	68	0	0	NUM
ejpam-502	123	69	.	.	PUNCT
ejpam-502	124	1	proof	proof	NOUN
ejpam-502	124	2	.	.	PUNCT
ejpam-502	125	1	if	if	SCONJ
ejpam-502	125	2	β	β	X
ejpam-502	125	3	=	=	NOUN
ejpam-502	125	4	1	1	NUM
ejpam-502	125	5	then	then	ADV
ejpam-502	125	6	(	(	PUNCT
ejpam-502	125	7	t	t	PROPN
ejpam-502	125	8	(	(	PUNCT
ejpam-502	125	9	s))s≥0	s))s≥0	PROPN
ejpam-502	125	10	,	,	PUNCT
ejpam-502	125	11	(	(	PUNCT
ejpam-502	125	12	s(t))t≥0	s(t))t≥0	X
ejpam-502	125	13	define	define	VERB
ejpam-502	125	14	one	one	NUM
ejpam-502	125	15	parameter	parameter	NOUN
ejpam-502	125	16	semigroups	semigroup	NOUN
ejpam-502	125	17	.	.	PUNCT
ejpam-502	126	1	therefore	therefore	ADV
ejpam-502	126	2	,	,	PUNCT
ejpam-502	126	3	from	from	ADP
ejpam-502	126	4	lemma	lemma	PROPN
ejpam-502	126	5	3	3	NUM
ejpam-502	126	6	,	,	PUNCT
ejpam-502	126	7	each	each	PRON
ejpam-502	126	8	of	of	ADP
ejpam-502	126	9	t	t	PROPN
ejpam-502	126	10	(	(	PUNCT
ejpam-502	126	11	s)⊗	s)⊗	PROPN
ejpam-502	126	12	i	i	PRON
ejpam-502	126	13	and	and	CCONJ
ejpam-502	126	14	i	i	PRON
ejpam-502	126	15	⊗	⊗	PROPN
ejpam-502	126	16	s(t	s(t	PROPN
ejpam-502	126	17	)	)	PUNCT
ejpam-502	126	18	is	be	AUX
ejpam-502	126	19	a	a	DET
ejpam-502	126	20	one	one	NUM
ejpam-502	126	21	parameter	parameter	NOUN
ejpam-502	126	22	semigroup	semigroup	NOUN
ejpam-502	126	23	on	on	ADP
ejpam-502	126	24	x	x	SYM
ejpam-502	126	25	α⊗	α⊗	PROPN
ejpam-502	126	26	y	y	PROPN
ejpam-502	126	27	.	.	PUNCT
ejpam-502	127	1	consequently	consequently	ADV
ejpam-502	127	2	,	,	PUNCT
ejpam-502	127	3	(	(	PUNCT
ejpam-502	127	4	t	t	PROPN
ejpam-502	127	5	(	(	PUNCT
ejpam-502	127	6	s)⊗	s)⊗	PROPN
ejpam-502	127	7	i	i	PROPN
ejpam-502	127	8	)	)	PUNCT
ejpam-502	127	9	(	(	PUNCT
ejpam-502	127	10	i	i	PROPN
ejpam-502	127	11	⊗	⊗	PROPN
ejpam-502	127	12	s(t	s(t	PROPN
ejpam-502	127	13	)	)	PUNCT
ejpam-502	127	14	)	)	PUNCT
ejpam-502	128	1	=	=	SYM
ejpam-502	128	2	t	t	PROPN
ejpam-502	128	3	(	(	PUNCT
ejpam-502	128	4	s)⊗	s)⊗	PROPN
ejpam-502	128	5	s(t	s(t	PROPN
ejpam-502	128	6	)	)	PUNCT
ejpam-502	128	7	=	=	PUNCT
ejpam-502	128	8	(	(	PUNCT
ejpam-502	128	9	i	i	PROPN
ejpam-502	128	10	⊗	⊗	PROPN
ejpam-502	128	11	s(t	s(t	PROPN
ejpam-502	128	12	)	)	PUNCT
ejpam-502	128	13	)	)	PUNCT
ejpam-502	129	1	(	(	PUNCT
ejpam-502	129	2	t	t	PROPN
ejpam-502	129	3	(	(	PUNCT
ejpam-502	129	4	s)⊗	s)⊗	PROPN
ejpam-502	129	5	i	i	PROPN
ejpam-502	129	6	)	)	PUNCT
ejpam-502	129	7	r.	r.	PROPN
ejpam-502	129	8	khalil	khalil	PROPN
ejpam-502	129	9	,	,	PUNCT
ejpam-502	129	10	r.	r.	PROPN
ejpam-502	129	11	al	al	PROPN
ejpam-502	129	12	-	-	PUNCT
ejpam-502	129	13	mirbati	mirbati	PROPN
ejpam-502	129	14	,	,	PUNCT
ejpam-502	129	15	d.	d.	PROPN
ejpam-502	129	16	drissi	drissi	PROPN
ejpam-502	129	17	/	/	PUNCT
ejpam-502	129	18	eur	eur	PROPN
ejpam-502	129	19	.	.	PUNCT
ejpam-502	130	1	j.	j.	PROPN
ejpam-502	130	2	pure	pure	PROPN
ejpam-502	130	3	appl	appl	PROPN
ejpam-502	130	4	.	.	PROPN
ejpam-502	130	5	math	math	PROPN
ejpam-502	130	6	,	,	PUNCT
ejpam-502	130	7	3	3	NUM
ejpam-502	130	8	(	(	PUNCT
ejpam-502	130	9	2010	2010	NUM
ejpam-502	130	10	)	)	PUNCT
ejpam-502	130	11	,	,	PUNCT
ejpam-502	130	12	881	881	NUM
ejpam-502	130	13	-	-	SYM
ejpam-502	130	14	898	898	NUM
ejpam-502	130	15	885	885	NUM
ejpam-502	130	16	is	be	AUX
ejpam-502	130	17	a	a	DET
ejpam-502	130	18	t.p.s	t.p.s	NOUN
ejpam-502	130	19	.	.	PUNCT
ejpam-502	131	1	on	on	ADP
ejpam-502	131	2	x	x	SYM
ejpam-502	131	3	α⊗	α⊗	PROPN
ejpam-502	131	4	y	y	PROPN
ejpam-502	131	5	.	.	PUNCT
ejpam-502	132	1	if	if	SCONJ
ejpam-502	132	2	β	β	PROPN
ejpam-502	132	3	6=	6=	ADP
ejpam-502	132	4	1	1	NUM
ejpam-502	132	5	,	,	PUNCT
ejpam-502	132	6	then	then	ADV
ejpam-502	132	7	t	t	PROPN
ejpam-502	132	8	(	(	PUNCT
ejpam-502	132	9	s),s(t	s),s(t	NOUN
ejpam-502	132	10	)	)	PUNCT
ejpam-502	132	11	are	be	AUX
ejpam-502	132	12	not	not	PART
ejpam-502	132	13	semigroups	semigroup	NOUN
ejpam-502	132	14	of	of	ADP
ejpam-502	132	15	operators	operator	NOUN
ejpam-502	132	16	since	since	SCONJ
ejpam-502	132	17	t	t	PROPN
ejpam-502	132	18	(	(	PUNCT
ejpam-502	132	19	0	0	NUM
ejpam-502	132	20	)	)	PUNCT
ejpam-502	132	21	=	=	SYM
ejpam-502	133	1	1	1	NUM
ejpam-502	133	2	β	β	X
ejpam-502	133	3	i	i	PROPN
ejpam-502	133	4	6=	6=	PUNCT
ejpam-502	134	1	i	i	PRON
ejpam-502	134	2	even	even	ADV
ejpam-502	134	3	though	though	ADV
ejpam-502	134	4	,	,	PUNCT
ejpam-502	134	5	t	t	PROPN
ejpam-502	134	6	(	(	PUNCT
ejpam-502	134	7	s)⊗	s)⊗	PROPN
ejpam-502	134	8	s(t	s(t	PROPN
ejpam-502	134	9	)	)	PUNCT
ejpam-502	134	10	is	be	AUX
ejpam-502	134	11	a	a	DET
ejpam-502	134	12	t.p.s	t.p.s	NOUN
ejpam-502	134	13	.	.	PUNCT
ejpam-502	135	1	to	to	PART
ejpam-502	135	2	show	show	VERB
ejpam-502	135	3	necessity	necessity	NOUN
ejpam-502	135	4	,	,	PUNCT
ejpam-502	135	5	let	let	VERB
ejpam-502	135	6	t	t	PROPN
ejpam-502	135	7	(	(	PUNCT
ejpam-502	135	8	s)⊗	s)⊗	PROPN
ejpam-502	135	9	s(t	s(t	PROPN
ejpam-502	135	10	)	)	PUNCT
ejpam-502	135	11	be	be	VERB
ejpam-502	135	12	a	a	DET
ejpam-502	135	13	t.p.s	t.p.s	NOUN
ejpam-502	135	14	.	.	PUNCT
ejpam-502	136	1	on	on	ADP
ejpam-502	136	2	x	x	SYM
ejpam-502	136	3	α⊗	α⊗	PROPN
ejpam-502	136	4	y	y	PROPN
ejpam-502	136	5	.	.	PUNCT
ejpam-502	137	1	then	then	ADV
ejpam-502	137	2	t	t	PROPN
ejpam-502	137	3	(	(	PUNCT
ejpam-502	137	4	0)⊗	0)⊗	NUM
ejpam-502	137	5	s(0	s(0	PROPN
ejpam-502	137	6	)	)	PUNCT
ejpam-502	137	7	=	=	PUNCT
ejpam-502	138	1	i	i	PRON
ejpam-502	138	2	⊗	⊗	VERB
ejpam-502	138	3	i	i	PRON
ejpam-502	138	4	,	,	PUNCT
ejpam-502	138	5	and	and	CCONJ
ejpam-502	138	6	by	by	ADP
ejpam-502	138	7	lemma	lemma	PROPN
ejpam-502	138	8	3	3	NUM
ejpam-502	138	9	,	,	PUNCT
ejpam-502	138	10	there	there	PRON
ejpam-502	138	11	exists	exist	VERB
ejpam-502	138	12	0	0	NUM
ejpam-502	138	13	6=	6=	NUM
ejpam-502	138	14	γ	γ	X
ejpam-502	138	15	∈r	∈r	NOUN
ejpam-502	138	16	such	such	ADJ
ejpam-502	138	17	that	that	SCONJ
ejpam-502	138	18	t	t	PROPN
ejpam-502	138	19	(	(	PUNCT
ejpam-502	138	20	0	0	NUM
ejpam-502	138	21	)	)	PUNCT
ejpam-502	138	22	=	=	SYM
ejpam-502	138	23	γi	γi	NOUN
ejpam-502	138	24	,	,	PUNCT
ejpam-502	138	25	and	and	CCONJ
ejpam-502	138	26	s(0	s(0	PROPN
ejpam-502	138	27	)	)	PUNCT
ejpam-502	138	28	=	=	SYM
ejpam-502	138	29	1	1	NUM
ejpam-502	138	30	γ	γ	X
ejpam-502	138	31	i	i	PRON
ejpam-502	138	32	.	.	PUNCT
ejpam-502	139	1	define	define	VERB
ejpam-502	139	2	the	the	DET
ejpam-502	139	3	families	family	NOUN
ejpam-502	139	4	bt	bt	PROPN
ejpam-502	139	5	(	(	PUNCT
ejpam-502	139	6	s	s	PROPN
ejpam-502	139	7	)	)	PUNCT
ejpam-502	139	8	and	and	CCONJ
ejpam-502	139	9	bs(t	bs(t	ADP
ejpam-502	139	10	)	)	PUNCT
ejpam-502	139	11	from	from	ADP
ejpam-502	139	12	r	r	NOUN
ejpam-502	139	13	+2	+2	NOUN
ejpam-502	139	14	into	into	ADP
ejpam-502	139	15	l	l	PROPN
ejpam-502	139	16	�	�	PROPN
ejpam-502	139	17	x	x	SYM
ejpam-502	139	18	α⊗	α⊗	PROPN
ejpam-502	139	19	y	y	PROPN
ejpam-502	139	20	�	�	PROPN
ejpam-502	139	21	so	so	SCONJ
ejpam-502	139	22	that	that	SCONJ
ejpam-502	139	23	bt	bt	PROPN
ejpam-502	139	24	(	(	PUNCT
ejpam-502	139	25	s	s	NOUN
ejpam-502	139	26	)	)	PUNCT
ejpam-502	139	27	=	=	SYM
ejpam-502	139	28	1	1	NUM
ejpam-502	139	29	γ	γ	X
ejpam-502	139	30	t	t	PROPN
ejpam-502	139	31	(	(	PUNCT
ejpam-502	139	32	s	s	NOUN
ejpam-502	139	33	)	)	PUNCT
ejpam-502	139	34	and	and	CCONJ
ejpam-502	139	35	bs(t	bs(t	NOUN
ejpam-502	139	36	)	)	PUNCT
ejpam-502	139	37	=	=	SYM
ejpam-502	139	38	γs(t	γs(t	PUNCT
ejpam-502	139	39	)	)	PUNCT
ejpam-502	139	40	,	,	PUNCT
ejpam-502	139	41	s	s	PROPN
ejpam-502	139	42	,	,	PUNCT
ejpam-502	139	43	t	t	PROPN
ejpam-502	139	44	≥	≥	NUM
ejpam-502	139	45	0	0	NUM
ejpam-502	139	46	.	.	PUNCT
ejpam-502	140	1	clearly	clearly	ADV
ejpam-502	140	2	,	,	PUNCT
ejpam-502	140	3	bt	bt	PROPN
ejpam-502	140	4	(	(	PUNCT
ejpam-502	140	5	s)⊗	s)⊗	PROPN
ejpam-502	140	6	bs(t	bs(t	NOUN
ejpam-502	140	7	)	)	PUNCT
ejpam-502	140	8	is	be	AUX
ejpam-502	140	9	the	the	DET
ejpam-502	140	10	t.p.s	t.p.s	PROPN
ejpam-502	140	11	.	.	PUNCT
ejpam-502	141	1	t	t	PROPN
ejpam-502	141	2	(	(	PUNCT
ejpam-502	141	3	s)⊗	s)⊗	PROPN
ejpam-502	141	4	s(t	s(t	PROPN
ejpam-502	141	5	)	)	PUNCT
ejpam-502	141	6	.	.	PUNCT
ejpam-502	142	1	moreover	moreover	ADV
ejpam-502	142	2	,	,	PUNCT
ejpam-502	142	3	bt	bt	PROPN
ejpam-502	142	4	(	(	PUNCT
ejpam-502	142	5	s	s	NOUN
ejpam-502	142	6	)	)	PUNCT
ejpam-502	142	7	,	,	PUNCT
ejpam-502	142	8	bs(t	bs(t	PUNCT
ejpam-502	142	9	)	)	PUNCT
ejpam-502	142	10	are	be	AUX
ejpam-502	142	11	one	one	NUM
ejpam-502	142	12	parameter	parameter	NOUN
ejpam-502	142	13	semigroups	semigroup	NOUN
ejpam-502	142	14	on	on	ADP
ejpam-502	142	15	x	x	SYM
ejpam-502	142	16	,	,	PUNCT
ejpam-502	142	17	y	y	PROPN
ejpam-502	142	18	respectively	respectively	ADV
ejpam-502	142	19	.	.	PUNCT
ejpam-502	143	1	indeed	indeed	ADV
ejpam-502	143	2	,	,	PUNCT
ejpam-502	143	3	bt	bt	PROPN
ejpam-502	143	4	(	(	PUNCT
ejpam-502	143	5	0	0	NUM
ejpam-502	143	6	)	)	PUNCT
ejpam-502	143	7	=	=	SYM
ejpam-502	143	8	1	1	NUM
ejpam-502	143	9	γ	γ	X
ejpam-502	143	10	t	t	PROPN
ejpam-502	143	11	(	(	PUNCT
ejpam-502	143	12	0	0	NUM
ejpam-502	143	13	)	)	PUNCT
ejpam-502	143	14	=	=	PUNCT
ejpam-502	144	1	i	i	PROPN
ejpam-502	144	2	and	and	CCONJ
ejpam-502	144	3	bs(0	bs(0	NOUN
ejpam-502	144	4	)	)	PUNCT
ejpam-502	144	5	=	=	SYM
ejpam-502	144	6	γs(0	γs(0	PROPN
ejpam-502	144	7	)	)	PUNCT
ejpam-502	144	8	=	=	NOUN
ejpam-502	145	1	i	i	INTJ
ejpam-502	145	2	.	.	PUNCT
ejpam-502	146	1	to	to	PART
ejpam-502	146	2	show	show	VERB
ejpam-502	146	3	the	the	DET
ejpam-502	146	4	semigroup	semigroup	ADJ
ejpam-502	146	5	property	property	NOUN
ejpam-502	146	6	for	for	ADP
ejpam-502	146	7	bt	bt	PROPN
ejpam-502	146	8	(	(	PUNCT
ejpam-502	146	9	s	s	NOUN
ejpam-502	146	10	)	)	PUNCT
ejpam-502	146	11	,	,	PUNCT
ejpam-502	146	12	let	let	VERB
ejpam-502	146	13	s1	s1	NOUN
ejpam-502	146	14	,	,	PUNCT
ejpam-502	146	15	s2	s2	NOUN
ejpam-502	146	16	∈r+	∈r+	NOUN
ejpam-502	146	17	2	2	NUM
ejpam-502	146	18	and	and	CCONJ
ejpam-502	146	19	let	let	VERB
ejpam-502	146	20	x	x	SYM
ejpam-502	146	21	∈	∈	PROPN
ejpam-502	146	22	x	x	X
ejpam-502	146	23	.	.	PUNCT
ejpam-502	147	1	then	then	ADV
ejpam-502	147	2	for	for	ADP
ejpam-502	147	3	any	any	DET
ejpam-502	147	4	0	0	NUM
ejpam-502	147	5	6=	6=	NUM
ejpam-502	147	6	y	y	PROPN
ejpam-502	147	7	∈	∈	PROPN
ejpam-502	148	1	y	y	NOUN
ejpam-502	148	2	we	we	PRON
ejpam-502	148	3	have	have	VERB
ejpam-502	148	4	bt	bt	NOUN
ejpam-502	148	5	(	(	PUNCT
ejpam-502	148	6	s1	s1	PROPN
ejpam-502	148	7	+	+	CCONJ
ejpam-502	148	8	s2)x	s2)x	ADJ
ejpam-502	149	1	−	−	PROPN
ejpam-502	149	2	bt	bt	NOUN
ejpam-502	149	3	(	(	PUNCT
ejpam-502	149	4	s1)bt	s1)bt	NOUN
ejpam-502	149	5	(	(	PUNCT
ejpam-502	149	6	s2)x	s2)x	NOUN
ejpam-502	149	7	=	=	SYM
ejpam-502	149	8	1	1	NUM
ejpam-502	149	9	y	y	PROPN
ejpam-502	149	10	�	�	PROPN
ejpam-502	149	11	bt	bt	PROPN
ejpam-502	149	12	(	(	PUNCT
ejpam-502	149	13	s1	s1	PROPN
ejpam-502	149	14	+	+	CCONJ
ejpam-502	149	15	s2)x	s2)x	ADJ
ejpam-502	149	16	−	−	PROPN
ejpam-502	149	17	bt	bt	NOUN
ejpam-502	149	18	(	(	PUNCT
ejpam-502	149	19	s1)bt	s1)bt	PROPN
ejpam-502	149	20	(	(	PUNCT
ejpam-502	149	21	s2)x	s2)x	PROPN
ejpam-502	149	22	�	�	PROPN
ejpam-502	149	23	⊗	⊗	PROPN
ejpam-502	149	24	y	y	PROPN
ejpam-502	149	25	=	=	SYM
ejpam-502	149	26	1	1	NUM
ejpam-502	149	27	y	y	PROPN
ejpam-502	149	28	�	�	PROPN
ejpam-502	149	29	�	�	PROPN
ejpam-502	149	30	bt	bt	PROPN
ejpam-502	149	31	(	(	PUNCT
ejpam-502	149	32	s1	s1	PROPN
ejpam-502	149	33	+	+	CCONJ
ejpam-502	149	34	s2)⊗	s2)⊗	NUM
ejpam-502	149	35	i	i	PROPN
ejpam-502	149	36	�	�	PROPN
ejpam-502	149	37	−	−	PROPN
ejpam-502	149	38	�	�	PROPN
ejpam-502	149	39	bt	bt	PROPN
ejpam-502	149	40	(	(	PUNCT
ejpam-502	149	41	s1)bt(s2)⊗	s1)bt(s2)⊗	PROPN
ejpam-502	149	42	i	i	PROPN
ejpam-502	149	43	�	�	PROPN
ejpam-502	149	44	�	�	PROPN
ejpam-502	149	45	�	�	PROPN
ejpam-502	149	46	x	x	SYM
ejpam-502	149	47	⊗	⊗	PROPN
ejpam-502	149	48	y	y	PROPN
ejpam-502	149	49	�	�	PROPN
ejpam-502	149	50	=	=	SYM
ejpam-502	149	51	1	1	NUM
ejpam-502	149	52	y	y	PROPN
ejpam-502	149	53	�	�	PROPN
ejpam-502	149	54	bt	bt	PROPN
ejpam-502	149	55	(	(	PUNCT
ejpam-502	149	56	s1	s1	PROPN
ejpam-502	149	57	+	+	NUM
ejpam-502	149	58	s2)⊗	s2)⊗	PROPN
ejpam-502	149	59	bs(0	bs(0	ADP
ejpam-502	149	60	+	+	NOUN
ejpam-502	149	61	0	0	NUM
ejpam-502	149	62	)	)	PUNCT
ejpam-502	149	63	�	�	PROPN
ejpam-502	149	64	−	−	PROPN
ejpam-502	149	65	�	�	PROPN
ejpam-502	149	66	bt	bt	PROPN
ejpam-502	149	67	(	(	PUNCT
ejpam-502	149	68	s1)bt(s2)⊗	s1)bt(s2)⊗	PROPN
ejpam-502	149	69	bs(0)bs(0	bs(0)bs(0	PROPN
ejpam-502	149	70	)	)	PUNCT
ejpam-502	149	71	�	�	PROPN
ejpam-502	149	72	�	�	PROPN
ejpam-502	149	73	x	x	SYM
ejpam-502	149	74	⊗	⊗	PROPN
ejpam-502	149	75	y	y	PROPN
ejpam-502	149	76	�	�	PROPN
ejpam-502	149	77	=	=	SYM
ejpam-502	149	78	�	�	PROPN
ejpam-502	149	79	�	�	PROPN
ejpam-502	149	80	bt	bt	PROPN
ejpam-502	149	81	(	(	PUNCT
ejpam-502	149	82	s1	s1	PROPN
ejpam-502	149	83	+	+	NUM
ejpam-502	149	84	s2)⊗	s2)⊗	PROPN
ejpam-502	149	85	bs(0	bs(0	ADP
ejpam-502	149	86	+	+	NOUN
ejpam-502	149	87	0	0	NUM
ejpam-502	149	88	)	)	PUNCT
ejpam-502	149	89	�	�	PROPN
ejpam-502	149	90	−	−	PROPN
ejpam-502	149	91	�	�	PROPN
ejpam-502	149	92	bt	bt	PROPN
ejpam-502	149	93	(	(	PUNCT
ejpam-502	149	94	s1)⊗	s1)⊗	PROPN
ejpam-502	149	95	bs(0	bs(0	PROPN
ejpam-502	149	96	)	)	PUNCT
ejpam-502	149	97	�	�	PROPN
ejpam-502	149	98	�	�	PROPN
ejpam-502	149	99	bt	bt	PROPN
ejpam-502	149	100	(	(	PUNCT
ejpam-502	149	101	s2)⊗	s2)⊗	PROPN
ejpam-502	149	102	bs(0	bs(0	NOUN
ejpam-502	149	103	)	)	PUNCT
ejpam-502	149	104	�	�	PROPN
ejpam-502	149	105	�	�	PROPN
ejpam-502	149	106	�	�	PROPN
ejpam-502	149	107	x	x	SYM
ejpam-502	149	108	⊗	⊗	PROPN
ejpam-502	149	109	y	y	PROPN
ejpam-502	149	110	�	�	PROPN
ejpam-502	149	111	y	y	PROPN
ejpam-502	149	112	=	=	SYM
ejpam-502	149	113	1	1	NUM
ejpam-502	149	114	y	y	PROPN
ejpam-502	149	115	�	�	PROPN
ejpam-502	149	116	�	�	PROPN
ejpam-502	149	117	t	t	PROPN
ejpam-502	149	118	(	(	PUNCT
ejpam-502	149	119	s1	s1	PROPN
ejpam-502	149	120	+	+	NUM
ejpam-502	149	121	s2)⊗	s2)⊗	NUM
ejpam-502	149	122	s(0	s(0	PROPN
ejpam-502	149	123	+	+	NOUN
ejpam-502	149	124	0	0	NUM
ejpam-502	149	125	)	)	PUNCT
ejpam-502	149	126	�	�	PROPN
ejpam-502	149	127	−	−	PROPN
ejpam-502	149	128	�	�	PROPN
ejpam-502	149	129	t	t	PROPN
ejpam-502	149	130	(	(	PUNCT
ejpam-502	149	131	s1)⊗	s1)⊗	PROPN
ejpam-502	149	132	s(0	s(0	PROPN
ejpam-502	149	133	)	)	PUNCT
ejpam-502	149	134	�	�	PROPN
ejpam-502	149	135	�	�	PROPN
ejpam-502	149	136	t	t	PROPN
ejpam-502	149	137	(	(	PUNCT
ejpam-502	149	138	s2)⊗	s2)⊗	PROPN
ejpam-502	149	139	s(0	s(0	PROPN
ejpam-502	149	140	)	)	PUNCT
ejpam-502	149	141	�	�	PROPN
ejpam-502	149	142	�	�	PROPN
ejpam-502	149	143	�	�	PROPN
ejpam-502	149	144	x	x	PROPN
ejpam-502	149	145	⊗	⊗	PROPN
ejpam-502	149	146	y	y	PROPN
ejpam-502	149	147	�	�	PROPN
ejpam-502	149	148	.	.	PUNCT
ejpam-502	150	1	therefore	therefore	ADV
ejpam-502	150	2	bt	bt	PROPN
ejpam-502	150	3	(	(	PUNCT
ejpam-502	150	4	s1	s1	PROPN
ejpam-502	150	5	+	+	CCONJ
ejpam-502	150	6	s2	s2	PROPN
ejpam-502	150	7	)	)	PUNCT
ejpam-502	150	8	=	=	SYM
ejpam-502	150	9	bt	bt	PROPN
ejpam-502	150	10	(	(	PUNCT
ejpam-502	150	11	s1)bt	s1)bt	X
ejpam-502	150	12	(	(	PUNCT
ejpam-502	150	13	s2	s2	PROPN
ejpam-502	150	14	)	)	PUNCT
ejpam-502	150	15	.	.	PUNCT
ejpam-502	151	1	similarly	similarly	ADV
ejpam-502	151	2	,	,	PUNCT
ejpam-502	151	3	�	�	PROPN
ejpam-502	151	4	bs(t	bs(t	NOUN
ejpam-502	151	5	)	)	PUNCT
ejpam-502	151	6	�	�	PROPN
ejpam-502	151	7	t≥0	t≥0	PROPN
ejpam-502	151	8	satisfies	satisfy	VERB
ejpam-502	151	9	the	the	DET
ejpam-502	151	10	semigroup	semigroup	PROPN
ejpam-502	151	11	property	property	NOUN
ejpam-502	151	12	.	.	PUNCT
ejpam-502	152	1	hence	hence	ADV
ejpam-502	152	2	bt	bt	PROPN
ejpam-502	152	3	(	(	PUNCT
ejpam-502	152	4	s	s	PROPN
ejpam-502	152	5	)	)	PUNCT
ejpam-502	152	6	and	and	CCONJ
ejpam-502	152	7	bs(t	bs(t	PUNCT
ejpam-502	152	8	)	)	PUNCT
ejpam-502	152	9	are	be	AUX
ejpam-502	152	10	one	one	NUM
ejpam-502	152	11	parameter	parameter	NOUN
ejpam-502	152	12	semigroups	semigroup	NOUN
ejpam-502	152	13	on	on	ADP
ejpam-502	152	14	x	x	SYM
ejpam-502	152	15	,	,	PUNCT
ejpam-502	152	16	y	y	PROPN
ejpam-502	152	17	respectively	respectively	ADV
ejpam-502	152	18	.	.	PUNCT
ejpam-502	153	1	the	the	DET
ejpam-502	153	2	proof	proof	NOUN
ejpam-502	153	3	of	of	ADP
ejpam-502	153	4	theorem	theorem	ADJ
ejpam-502	153	5	1	1	NUM
ejpam-502	153	6	shows	show	VERB
ejpam-502	153	7	that	that	SCONJ
ejpam-502	153	8	if	if	SCONJ
ejpam-502	153	9	(	(	PUNCT
ejpam-502	153	10	t	t	X
ejpam-502	153	11	(	(	PUNCT
ejpam-502	153	12	s))s≥0	s))s≥0	PROPN
ejpam-502	153	13	,	,	PUNCT
ejpam-502	153	14	(	(	PUNCT
ejpam-502	153	15	s(t))t≥0	s(t))t≥0	PROPN
ejpam-502	153	16	,	,	PUNCT
ejpam-502	153	17	are	be	AUX
ejpam-502	153	18	one	one	NUM
ejpam-502	153	19	parameter	parameter	NOUN
ejpam-502	153	20	semigroups	semigroup	NOUN
ejpam-502	153	21	on	on	ADP
ejpam-502	153	22	x	x	SYM
ejpam-502	153	23	,	,	PUNCT
ejpam-502	153	24	y	y	PROPN
ejpam-502	153	25	respectively	respectively	ADV
ejpam-502	153	26	,	,	PUNCT
ejpam-502	153	27	then	then	ADV
ejpam-502	153	28	the	the	DET
ejpam-502	153	29	family	family	NOUN
ejpam-502	153	30	(	(	PUNCT
ejpam-502	153	31	t	t	PROPN
ejpam-502	153	32	(	(	PUNCT
ejpam-502	153	33	s)⊗	s)⊗	PROPN
ejpam-502	153	34	s(t))s	s(t))s	PROPN
ejpam-502	153	35	,	,	PUNCT
ejpam-502	153	36	t≥0	t≥0	NOUN
ejpam-502	153	37	is	be	AUX
ejpam-502	153	38	a	a	DET
ejpam-502	153	39	t.p.s	t.p.s	NOUN
ejpam-502	153	40	.	.	PUNCT
ejpam-502	154	1	on	on	ADP
ejpam-502	154	2	x	x	SYM
ejpam-502	154	3	α⊗	α⊗	PROPN
ejpam-502	154	4	y	y	PROPN
ejpam-502	154	5	.	.	PUNCT
ejpam-502	155	1	as	as	ADP
ejpam-502	155	2	for	for	ADP
ejpam-502	155	3	the	the	DET
ejpam-502	155	4	continuity	continuity	NOUN
ejpam-502	155	5	of	of	ADP
ejpam-502	155	6	tensor	tensor	NOUN
ejpam-502	155	7	product	product	NOUN
ejpam-502	155	8	semigroups	semigroup	VERB
ejpam-502	155	9	it	it	PRON
ejpam-502	155	10	is	be	AUX
ejpam-502	155	11	not	not	PART
ejpam-502	155	12	difficult	difficult	ADJ
ejpam-502	155	13	to	to	PART
ejpam-502	155	14	see	see	VERB
ejpam-502	155	15	lemma	lemma	PROPN
ejpam-502	155	16	4	4	X
ejpam-502	155	17	.	.	PUNCT
ejpam-502	156	1	let	let	VERB
ejpam-502	156	2	x	x	PRON
ejpam-502	156	3	,	,	PUNCT
ejpam-502	156	4	y	y	PROPN
ejpam-502	156	5	be	be	VERB
ejpam-502	156	6	banach	banach	ADV
ejpam-502	156	7	spaces	space	NOUN
ejpam-502	156	8	,	,	PUNCT
ejpam-502	156	9	(	(	PUNCT
ejpam-502	156	10	t	t	PROPN
ejpam-502	156	11	(	(	PUNCT
ejpam-502	156	12	s))s≥0	s))s≥0	PROPN
ejpam-502	156	13	,	,	PUNCT
ejpam-502	156	14	(	(	PUNCT
ejpam-502	156	15	s(t))t≥0	s(t))t≥0	PROPN
ejpam-502	156	16	,	,	PUNCT
ejpam-502	156	17	one	one	NUM
ejpam-502	156	18	parameter	parameter	NOUN
ejpam-502	156	19	families	family	NOUN
ejpam-502	156	20	of	of	ADP
ejpam-502	156	21	operators	operator	NOUN
ejpam-502	156	22	in	in	ADP
ejpam-502	156	23	l	l	PROPN
ejpam-502	156	24	(	(	PUNCT
ejpam-502	156	25	x	x	PROPN
ejpam-502	156	26	)	)	PUNCT
ejpam-502	156	27	,	,	PUNCT
ejpam-502	156	28	l	l	X
ejpam-502	156	29	(	(	PUNCT
ejpam-502	156	30	y	y	PROPN
ejpam-502	156	31	)	)	PUNCT
ejpam-502	156	32	respectively	respectively	ADV
ejpam-502	156	33	.	.	PUNCT
ejpam-502	157	1	if	if	SCONJ
ejpam-502	157	2	t	t	PROPN
ejpam-502	157	3	(	(	PUNCT
ejpam-502	157	4	s)⊗s(t	s)⊗s(t	PROPN
ejpam-502	157	5	)	)	PUNCT
ejpam-502	157	6	is	be	AUX
ejpam-502	157	7	a	a	DET
ejpam-502	157	8	t.p.s	t.p.s	NOUN
ejpam-502	157	9	.	.	PUNCT
ejpam-502	158	1	and	and	CCONJ
ejpam-502	158	2	bt	bt	PROPN
ejpam-502	158	3	(	(	PUNCT
ejpam-502	158	4	s	s	NOUN
ejpam-502	158	5	)	)	PUNCT
ejpam-502	158	6	,	,	PUNCT
ejpam-502	158	7	bs(t	bs(t	PUNCT
ejpam-502	158	8	)	)	PUNCT
ejpam-502	158	9	are	be	AUX
ejpam-502	158	10	as	as	ADP
ejpam-502	158	11	in	in	ADP
ejpam-502	158	12	theorem	theorem	NOUN
ejpam-502	158	13	1	1	NUM
ejpam-502	158	14	,	,	PUNCT
ejpam-502	158	15	then	then	ADV
ejpam-502	158	16	the	the	DET
ejpam-502	158	17	following	follow	VERB
ejpam-502	158	18	are	be	AUX
ejpam-502	158	19	equivalent	equivalent	ADJ
ejpam-502	158	20	a.	a.	NOUN
ejpam-502	158	21	t	t	PROPN
ejpam-502	158	22	(	(	PUNCT
ejpam-502	158	23	s)⊗	s)⊗	PROPN
ejpam-502	158	24	s(t	s(t	PROPN
ejpam-502	158	25	)	)	PUNCT
ejpam-502	158	26	is	be	AUX
ejpam-502	158	27	uniformly	uniformly	ADV
ejpam-502	158	28	(	(	PUNCT
ejpam-502	158	29	strongly	strongly	ADV
ejpam-502	158	30	)	)	PUNCT
ejpam-502	158	31	continuous	continuous	ADJ
ejpam-502	158	32	.	.	PUNCT
ejpam-502	159	1	b.	b.	PROPN
ejpam-502	159	2	bt	bt	PROPN
ejpam-502	159	3	(	(	PUNCT
ejpam-502	159	4	s)⊗	s)⊗	PROPN
ejpam-502	159	5	i	i	PRON
ejpam-502	159	6	and	and	CCONJ
ejpam-502	159	7	i	i	PRON
ejpam-502	159	8	⊗	⊗	PROPN
ejpam-502	159	9	bs(t	bs(t	PUNCT
ejpam-502	159	10	)	)	PUNCT
ejpam-502	159	11	are	be	AUX
ejpam-502	159	12	uniformly	uniformly	ADV
ejpam-502	159	13	(	(	PUNCT
ejpam-502	159	14	strongly	strongly	ADV
ejpam-502	159	15	)	)	PUNCT
ejpam-502	159	16	continuous	continuous	ADJ
ejpam-502	159	17	.	.	PUNCT
ejpam-502	160	1	c.	c.	PROPN
ejpam-502	160	2	bt	bt	PROPN
ejpam-502	160	3	(	(	PUNCT
ejpam-502	160	4	s	s	PROPN
ejpam-502	160	5	)	)	PUNCT
ejpam-502	160	6	and	and	CCONJ
ejpam-502	160	7	bs(t	bs(t	PUNCT
ejpam-502	160	8	)	)	PUNCT
ejpam-502	160	9	are	be	AUX
ejpam-502	160	10	uniformly	uniformly	ADV
ejpam-502	160	11	(	(	PUNCT
ejpam-502	160	12	strongly	strongly	ADV
ejpam-502	160	13	)	)	PUNCT
ejpam-502	160	14	continuous	continuous	ADJ
ejpam-502	160	15	.	.	PUNCT
ejpam-502	161	1	r.	r.	PROPN
ejpam-502	161	2	khalil	khalil	PROPN
ejpam-502	161	3	,	,	PUNCT
ejpam-502	161	4	r.	r.	PROPN
ejpam-502	161	5	al	al	PROPN
ejpam-502	161	6	-	-	PUNCT
ejpam-502	161	7	mirbati	mirbati	PROPN
ejpam-502	161	8	,	,	PUNCT
ejpam-502	161	9	d.	d.	PROPN
ejpam-502	161	10	drissi	drissi	PROPN
ejpam-502	161	11	/	/	PUNCT
ejpam-502	161	12	eur	eur	PROPN
ejpam-502	161	13	.	.	PUNCT
ejpam-502	162	1	j.	j.	PROPN
ejpam-502	162	2	pure	pure	PROPN
ejpam-502	162	3	appl	appl	PROPN
ejpam-502	162	4	.	.	PROPN
ejpam-502	162	5	math	math	PROPN
ejpam-502	162	6	,	,	PUNCT
ejpam-502	162	7	3	3	NUM
ejpam-502	162	8	(	(	PUNCT
ejpam-502	162	9	2010	2010	NUM
ejpam-502	162	10	)	)	PUNCT
ejpam-502	162	11	,	,	PUNCT
ejpam-502	162	12	881	881	NUM
ejpam-502	162	13	-	-	SYM
ejpam-502	162	14	898	898	NUM
ejpam-502	162	15	886	886	NUM
ejpam-502	162	16	now	now	ADV
ejpam-502	162	17	,	,	PUNCT
ejpam-502	162	18	if	if	SCONJ
ejpam-502	162	19	(	(	PUNCT
ejpam-502	162	20	t	t	PROPN
ejpam-502	162	21	(	(	PUNCT
ejpam-502	162	22	s))s≥0	s))s≥0	PROPN
ejpam-502	162	23	,	,	PUNCT
ejpam-502	162	24	(	(	PUNCT
ejpam-502	162	25	s(t))t≥0	s(t))t≥0	PROPN
ejpam-502	162	26	,	,	PUNCT
ejpam-502	162	27	are	be	AUX
ejpam-502	162	28	one	one	NUM
ejpam-502	162	29	parameter	parameter	NOUN
ejpam-502	162	30	families	family	NOUN
ejpam-502	162	31	of	of	ADP
ejpam-502	162	32	operators	operator	NOUN
ejpam-502	162	33	in	in	ADP
ejpam-502	162	34	l	l	PROPN
ejpam-502	162	35	(	(	PUNCT
ejpam-502	162	36	x	x	X
ejpam-502	162	37	)	)	PUNCT
ejpam-502	162	38	,	,	PUNCT
ejpam-502	162	39	l	l	X
ejpam-502	162	40	(	(	PUNCT
ejpam-502	162	41	y	y	PROPN
ejpam-502	162	42	)	)	PUNCT
ejpam-502	162	43	respectively	respectively	ADV
ejpam-502	162	44	and	and	CCONJ
ejpam-502	162	45	t	t	PROPN
ejpam-502	162	46	(	(	PUNCT
ejpam-502	162	47	s)⊗	s)⊗	PROPN
ejpam-502	162	48	s(t	s(t	PROPN
ejpam-502	162	49	)	)	PUNCT
ejpam-502	162	50	is	be	AUX
ejpam-502	162	51	a	a	DET
ejpam-502	162	52	t.p.s	t.p.s	NOUN
ejpam-502	162	53	.	.	PUNCT
ejpam-502	162	54	,	,	PUNCT
ejpam-502	163	1	then	then	ADV
ejpam-502	163	2	:	:	PUNCT
ejpam-502	163	3	if	if	SCONJ
ejpam-502	163	4	t	t	PROPN
ejpam-502	163	5	(	(	PUNCT
ejpam-502	163	6	s)⊗	s)⊗	PROPN
ejpam-502	163	7	s(t	s(t	PROPN
ejpam-502	163	8	)	)	PUNCT
ejpam-502	163	9	is	be	AUX
ejpam-502	163	10	uniformly	uniformly	ADV
ejpam-502	163	11	(	(	PUNCT
ejpam-502	163	12	strongly	strongly	ADV
ejpam-502	163	13	)	)	PUNCT
ejpam-502	163	14	continuous	continuous	ADJ
ejpam-502	163	15	,	,	PUNCT
ejpam-502	163	16	then	then	ADV
ejpam-502	163	17	the	the	DET
ejpam-502	163	18	map	map	NOUN
ejpam-502	163	19	f(s	f(	VERB
ejpam-502	163	20	,	,	PUNCT
ejpam-502	163	21	t	t	PROPN
ejpam-502	163	22	)	)	PUNCT
ejpam-502	163	23	:	:	PUNCT
ejpam-502	163	24	r+	r+	PUNCT
ejpam-502	163	25	2	2	NUM
ejpam-502	163	26	=	=	SYM
ejpam-502	164	1	[	[	X
ejpam-502	164	2	0,∞)×	0,∞)×	NUM
ejpam-502	164	3	[	[	X
ejpam-502	164	4	0,∞)→	0,∞)→	NOUN
ejpam-502	164	5	l	l	PROPN
ejpam-502	164	6	�	�	PROPN
ejpam-502	164	7	x	x	SYM
ejpam-502	164	8	α⊗	α⊗	PROPN
ejpam-502	164	9	y	y	PROPN
ejpam-502	164	10	�	�	PROPN
ejpam-502	164	11	defined	define	VERB
ejpam-502	164	12	by	by	ADP
ejpam-502	164	13	f	f	PROPN
ejpam-502	164	14	(	(	PUNCT
ejpam-502	164	15	s	s	PROPN
ejpam-502	164	16	,	,	PUNCT
ejpam-502	164	17	t	t	PROPN
ejpam-502	164	18	)	)	PUNCT
ejpam-502	164	19	→	→	SYM
ejpam-502	164	20	t	t	PROPN
ejpam-502	164	21	(	(	PUNCT
ejpam-502	164	22	s)⊗	s)⊗	PROPN
ejpam-502	164	23	s(t	s(t	PROPN
ejpam-502	164	24	)	)	PUNCT
ejpam-502	164	25	is	be	AUX
ejpam-502	164	26	continuous	continuous	ADJ
ejpam-502	164	27	in	in	ADP
ejpam-502	164	28	the	the	DET
ejpam-502	164	29	uniform	uniform	NOUN
ejpam-502	164	30	(	(	PUNCT
ejpam-502	164	31	strong	strong	ADJ
ejpam-502	164	32	)	)	PUNCT
ejpam-502	164	33	operator	operator	NOUN
ejpam-502	164	34	topology	topology	NOUN
ejpam-502	164	35	.	.	PUNCT
ejpam-502	165	1	further	far	ADV
ejpam-502	165	2	,	,	PUNCT
ejpam-502	165	3	f(s	f(s	PROPN
ejpam-502	165	4	,	,	PUNCT
ejpam-502	165	5	t	t	PROPN
ejpam-502	165	6	)	)	PUNCT
ejpam-502	165	7	is	be	AUX
ejpam-502	165	8	uniformly	uniformly	ADV
ejpam-502	165	9	(	(	PUNCT
ejpam-502	165	10	strongly	strongly	ADV
ejpam-502	165	11	)	)	PUNCT
ejpam-502	165	12	continuous	continuous	ADJ
ejpam-502	165	13	if	if	SCONJ
ejpam-502	165	14	and	and	CCONJ
ejpam-502	165	15	only	only	ADV
ejpam-502	165	16	if	if	SCONJ
ejpam-502	165	17	it	it	PRON
ejpam-502	165	18	is	be	AUX
ejpam-502	165	19	separately	separately	ADV
ejpam-502	165	20	uniformly	uniformly	ADV
ejpam-502	165	21	(	(	PUNCT
ejpam-502	165	22	strongly	strongly	ADV
ejpam-502	165	23	)	)	PUNCT
ejpam-502	165	24	continuous	continuous	ADJ
ejpam-502	165	25	.	.	PUNCT
ejpam-502	166	1	the	the	DET
ejpam-502	166	2	proof	proof	NOUN
ejpam-502	166	3	of	of	ADP
ejpam-502	166	4	the	the	DET
ejpam-502	166	5	following	follow	VERB
ejpam-502	166	6	proposition	proposition	NOUN
ejpam-502	166	7	is	be	AUX
ejpam-502	166	8	straight	straight	ADV
ejpam-502	166	9	forward	forward	ADV
ejpam-502	166	10	,	,	PUNCT
ejpam-502	166	11	and	and	CCONJ
ejpam-502	166	12	will	will	AUX
ejpam-502	166	13	be	be	AUX
ejpam-502	166	14	omitted	omit	VERB
ejpam-502	166	15	.	.	PUNCT
ejpam-502	167	1	proposition	proposition	NOUN
ejpam-502	167	2	1	1	NUM
ejpam-502	167	3	.	.	PUNCT
ejpam-502	168	1	let	let	VERB
ejpam-502	168	2	l(s	l(s	PROPN
ejpam-502	168	3	,	,	PUNCT
ejpam-502	168	4	t	t	PROPN
ejpam-502	168	5	)	)	PUNCT
ejpam-502	168	6	be	be	AUX
ejpam-502	168	7	a	a	DET
ejpam-502	168	8	2	2	NUM
ejpam-502	168	9	-	-	PUNCT
ejpam-502	168	10	parameter	parameter	NOUN
ejpam-502	168	11	semigroup	semigroup	NOUN
ejpam-502	168	12	on	on	ADP
ejpam-502	168	13	the	the	DET
ejpam-502	168	14	banach	banach	NOUN
ejpam-502	168	15	space	space	NOUN
ejpam-502	169	1	x	x	INTJ
ejpam-502	169	2	α⊗	α⊗	PROPN
ejpam-502	169	3	y	y	PROPN
ejpam-502	169	4	,	,	PUNCT
ejpam-502	169	5	such	such	ADJ
ejpam-502	169	6	that	that	SCONJ
ejpam-502	169	7	l(s	l(s	PROPN
ejpam-502	169	8	,	,	PUNCT
ejpam-502	169	9	0	0	NUM
ejpam-502	169	10	)	)	PUNCT
ejpam-502	169	11	�	�	PROPN
ejpam-502	169	12	x	x	PUNCT
ejpam-502	169	13	⊗	⊗	PROPN
ejpam-502	169	14	y	y	PROPN
ejpam-502	169	15	�	�	PROPN
ejpam-502	169	16	=	=	SYM
ejpam-502	169	17	�	�	PROPN
ejpam-502	169	18	f	f	PROPN
ejpam-502	169	19	(	(	PUNCT
ejpam-502	169	20	s)x	s)x	X
ejpam-502	169	21	�	�	PROPN
ejpam-502	169	22	⊗	⊗	PROPN
ejpam-502	169	23	y	y	PROPN
ejpam-502	169	24	for	for	ADP
ejpam-502	169	25	all	all	DET
ejpam-502	169	26	x	x	SYM
ejpam-502	169	27	∈	∈	PROPN
ejpam-502	169	28	x	x	X
ejpam-502	169	29	,	,	PUNCT
ejpam-502	169	30	y	y	PROPN
ejpam-502	169	31	∈	∈	PROPN
ejpam-502	169	32	y	y	PROPN
ejpam-502	169	33	,	,	PUNCT
ejpam-502	169	34	l(0	l(0	PROPN
ejpam-502	169	35	,	,	PUNCT
ejpam-502	169	36	t	t	PROPN
ejpam-502	169	37	)	)	PUNCT
ejpam-502	169	38	�	�	PROPN
ejpam-502	169	39	x	x	PUNCT
ejpam-502	169	40	⊗	⊗	PROPN
ejpam-502	169	41	y	y	PROPN
ejpam-502	169	42	�	�	PROPN
ejpam-502	169	43	=	=	PUNCT
ejpam-502	169	44	x	x	PROPN
ejpam-502	169	45	⊗	⊗	PROPN
ejpam-502	169	46	�	�	PROPN
ejpam-502	169	47	g(t)y	g(t)y	PROPN
ejpam-502	169	48	�	�	PROPN
ejpam-502	169	49	for	for	ADP
ejpam-502	169	50	all	all	DET
ejpam-502	169	51	x	x	SYM
ejpam-502	169	52	∈	∈	PROPN
ejpam-502	169	53	x	x	X
ejpam-502	169	54	,	,	PUNCT
ejpam-502	169	55	y	y	PROPN
ejpam-502	169	56	∈	∈	PROPN
ejpam-502	169	57	y	y	PROPN
ejpam-502	169	58	,	,	PUNCT
ejpam-502	169	59	where	where	SCONJ
ejpam-502	169	60	f	f	PROPN
ejpam-502	169	61	,	,	PUNCT
ejpam-502	169	62	g	g	PROPN
ejpam-502	169	63	are	be	AUX
ejpam-502	169	64	any	any	DET
ejpam-502	169	65	functions	function	NOUN
ejpam-502	169	66	on	on	ADP
ejpam-502	169	67	x	x	SYM
ejpam-502	169	68	,	,	PUNCT
ejpam-502	169	69	y	y	PROPN
ejpam-502	169	70	respectively	respectively	ADV
ejpam-502	169	71	.	.	PUNCT
ejpam-502	170	1	then	then	ADV
ejpam-502	170	2	1	1	X
ejpam-502	170	3	.	.	PUNCT
ejpam-502	170	4	�	�	PROPN
ejpam-502	170	5	f	f	PROPN
ejpam-502	170	6	(	(	PUNCT
ejpam-502	170	7	s	s	NOUN
ejpam-502	170	8	)	)	PUNCT
ejpam-502	170	9	�	�	PROPN
ejpam-502	170	10	s≥0	s≥0	PROPN
ejpam-502	170	11	,	,	PUNCT
ejpam-502	170	12	and	and	CCONJ
ejpam-502	170	13	�	�	PROPN
ejpam-502	170	14	g(t	g(t	PROPN
ejpam-502	170	15	)	)	PUNCT
ejpam-502	170	16	�	�	PROPN
ejpam-502	170	17	t≥0	t≥0	PROPN
ejpam-502	170	18	are	be	AUX
ejpam-502	170	19	one	one	NUM
ejpam-502	170	20	parameter	parameter	NOUN
ejpam-502	170	21	semigroups	semigroup	NOUN
ejpam-502	170	22	on	on	ADP
ejpam-502	170	23	x	x	SYM
ejpam-502	170	24	,	,	PUNCT
ejpam-502	170	25	y	y	PROPN
ejpam-502	170	26	respectively	respectively	ADV
ejpam-502	170	27	.	.	PUNCT
ejpam-502	171	1	2	2	X
ejpam-502	171	2	.	.	X
ejpam-502	171	3	l(s	l(s	PROPN
ejpam-502	171	4	,	,	PUNCT
ejpam-502	171	5	t	t	PROPN
ejpam-502	171	6	)	)	PUNCT
ejpam-502	171	7	is	be	AUX
ejpam-502	171	8	uniformly	uniformly	ADV
ejpam-502	171	9	(	(	PUNCT
ejpam-502	171	10	strongly	strongly	ADV
ejpam-502	171	11	)	)	PUNCT
ejpam-502	171	12	continuous	continuous	ADJ
ejpam-502	171	13	if	if	SCONJ
ejpam-502	171	14	and	and	CCONJ
ejpam-502	171	15	only	only	ADV
ejpam-502	171	16	if	if	SCONJ
ejpam-502	171	17	each	each	PRON
ejpam-502	171	18	of	of	ADP
ejpam-502	171	19	the	the	DET
ejpam-502	171	20	one	one	NUM
ejpam-502	171	21	parameter	parameter	NOUN
ejpam-502	171	22	semigroups	semigroup	VERB
ejpam-502	171	23	l(s	l(s	PROPN
ejpam-502	171	24	,	,	PUNCT
ejpam-502	171	25	0	0	NUM
ejpam-502	171	26	)	)	PUNCT
ejpam-502	171	27	and	and	CCONJ
ejpam-502	171	28	l(0	l(0	PROPN
ejpam-502	171	29	,	,	PUNCT
ejpam-502	171	30	t	t	PROPN
ejpam-502	171	31	)	)	PUNCT
ejpam-502	171	32	is	be	AUX
ejpam-502	171	33	uniformly	uniformly	ADV
ejpam-502	171	34	(	(	PUNCT
ejpam-502	171	35	strongly	strongly	ADV
ejpam-502	171	36	)	)	PUNCT
ejpam-502	171	37	continuous	continuous	ADJ
ejpam-502	171	38	.	.	PUNCT
ejpam-502	172	1	it	it	PRON
ejpam-502	172	2	follows	follow	VERB
ejpam-502	172	3	from	from	ADP
ejpam-502	172	4	the	the	DET
ejpam-502	172	5	definition	definition	NOUN
ejpam-502	172	6	of	of	ADP
ejpam-502	172	7	a	a	DET
ejpam-502	172	8	two	two	NUM
ejpam-502	172	9	-	-	PUNCT
ejpam-502	172	10	parameter	parameter	NOUN
ejpam-502	172	11	semigroup	semigroup	NOUN
ejpam-502	173	1	[	[	X
ejpam-502	173	2	7	7	NUM
ejpam-502	173	3	]	]	PUNCT
ejpam-502	173	4	,	,	PUNCT
ejpam-502	173	5	we	we	PRON
ejpam-502	173	6	observe	observe	VERB
ejpam-502	173	7	that	that	SCONJ
ejpam-502	173	8	a	a	DET
ejpam-502	173	9	t.p.s	t.p.s	NOUN
ejpam-502	173	10	.	.	PUNCT
ejpam-502	174	1	(	(	PUNCT
ejpam-502	174	2	t	t	PROPN
ejpam-502	174	3	(	(	PUNCT
ejpam-502	174	4	s)⊗	s)⊗	PROPN
ejpam-502	174	5	s(t))s	s(t))s	PROPN
ejpam-502	174	6	,	,	PUNCT
ejpam-502	174	7	t≥0	t≥0	NOUN
ejpam-502	174	8	defines	define	VERB
ejpam-502	174	9	a	a	DET
ejpam-502	174	10	two	two	NUM
ejpam-502	174	11	-	-	PUNCT
ejpam-502	174	12	parameter	parameter	NOUN
ejpam-502	174	13	semigroup	semigroup	NOUN
ejpam-502	174	14	(	(	PUNCT
ejpam-502	174	15	l(s	l(s	PROPN
ejpam-502	174	16	,	,	PUNCT
ejpam-502	174	17	t))s	t))s	NOUN
ejpam-502	174	18	,	,	PUNCT
ejpam-502	174	19	t≥0	t≥0	NOUN
ejpam-502	174	20	=	=	SYM
ejpam-502	174	21	l(s	l(s	PROPN
ejpam-502	174	22	,	,	PUNCT
ejpam-502	174	23	t	t	PROPN
ejpam-502	174	24	)	)	PUNCT
ejpam-502	174	25	=	=	SYM
ejpam-502	174	26	t	t	PROPN
ejpam-502	174	27	(	(	PUNCT
ejpam-502	174	28	s	s	NOUN
ejpam-502	174	29	)	)	PUNCT
ejpam-502	174	30	⊗	⊗	PROPN
ejpam-502	174	31	s(t	s(t	PROPN
ejpam-502	174	32	)	)	PUNCT
ejpam-502	174	33	.	.	PUNCT
ejpam-502	175	1	note	note	VERB
ejpam-502	175	2	that	that	SCONJ
ejpam-502	175	3	l(s	l(s	PROPN
ejpam-502	175	4	,	,	PUNCT
ejpam-502	175	5	t	t	PROPN
ejpam-502	175	6	)	)	PUNCT
ejpam-502	175	7	=	=	SYM
ejpam-502	176	1	l(s	l(s	PROPN
ejpam-502	176	2	,	,	PUNCT
ejpam-502	176	3	0)l(0	0)l(0	PROPN
ejpam-502	176	4	,	,	PUNCT
ejpam-502	176	5	t	t	PROPN
ejpam-502	176	6	)	)	PUNCT
ejpam-502	176	7	,	,	PUNCT
ejpam-502	176	8	where	where	SCONJ
ejpam-502	176	9	l(s	l(s	PROPN
ejpam-502	176	10	,	,	PUNCT
ejpam-502	176	11	0	0	NUM
ejpam-502	176	12	)	)	PUNCT
ejpam-502	176	13	=	=	SYM
ejpam-502	176	14	t	t	PROPN
ejpam-502	176	15	(	(	PUNCT
ejpam-502	176	16	s)⊗	s)⊗	PROPN
ejpam-502	176	17	s(0	s(0	PROPN
ejpam-502	176	18	)	)	PUNCT
ejpam-502	176	19	=	=	SYM
ejpam-502	176	20	t	t	PROPN
ejpam-502	176	21	(	(	PUNCT
ejpam-502	176	22	s)⊗	s)⊗	PROPN
ejpam-502	176	23	i	i	PROPN
ejpam-502	176	24	and	and	CCONJ
ejpam-502	176	25	l(0	l(0	PROPN
ejpam-502	176	26	,	,	PUNCT
ejpam-502	176	27	t	t	PROPN
ejpam-502	176	28	)	)	PUNCT
ejpam-502	176	29	=	=	SYM
ejpam-502	176	30	t	t	PROPN
ejpam-502	176	31	(	(	PUNCT
ejpam-502	176	32	0)⊗	0)⊗	NUM
ejpam-502	176	33	s(t	s(t	PROPN
ejpam-502	176	34	)	)	PUNCT
ejpam-502	176	35	=	=	PUNCT
ejpam-502	177	1	i	i	PROPN
ejpam-502	177	2	⊗	⊗	PROPN
ejpam-502	177	3	s(t	s(t	PROPN
ejpam-502	177	4	)	)	PUNCT
ejpam-502	177	5	.	.	PUNCT
ejpam-502	178	1	3	3	X
ejpam-502	178	2	.	.	X
ejpam-502	178	3	the	the	DET
ejpam-502	178	4	infinitesimal	infinitesimal	ADJ
ejpam-502	178	5	generator	generator	NOUN
ejpam-502	178	6	of	of	ADP
ejpam-502	178	7	a	a	DET
ejpam-502	178	8	t.p.s	t.p.s	NOUN
ejpam-502	178	9	.	.	PUNCT
ejpam-502	179	1	let	let	VERB
ejpam-502	179	2	(	(	PUNCT
ejpam-502	179	3	t	t	PROPN
ejpam-502	179	4	(	(	PUNCT
ejpam-502	179	5	s)⊗	s)⊗	PROPN
ejpam-502	179	6	s(t))s	s(t))s	PROPN
ejpam-502	179	7	,	,	PUNCT
ejpam-502	179	8	t≥0	t≥0	NOUN
ejpam-502	179	9	be	be	AUX
ejpam-502	179	10	a	a	DET
ejpam-502	179	11	c0	c0	PROPN
ejpam-502	179	12	t.p.s	t.p.s	PROPN
ejpam-502	179	13	.	.	PUNCT
ejpam-502	180	1	on	on	ADP
ejpam-502	180	2	x	x	SYM
ejpam-502	180	3	α⊗	α⊗	PROPN
ejpam-502	180	4	y	y	PROPN
ejpam-502	180	5	and	and	CCONJ
ejpam-502	180	6	a1	a1	PROPN
ejpam-502	180	7	,	,	PUNCT
ejpam-502	180	8	a2	a2	PROPN
ejpam-502	180	9	be	be	VERB
ejpam-502	180	10	the	the	DET
ejpam-502	180	11	infinitesimal	infinitesimal	ADJ
ejpam-502	180	12	generators	generator	NOUN
ejpam-502	180	13	of	of	ADP
ejpam-502	180	14	the	the	DET
ejpam-502	180	15	one	one	NUM
ejpam-502	180	16	parameter	parameter	NOUN
ejpam-502	180	17	c0	c0	PROPN
ejpam-502	180	18	semigroups	semigroups	PROPN
ejpam-502	180	19	�	�	PROPN
ejpam-502	180	20	bt	bt	PROPN
ejpam-502	180	21	(	(	PUNCT
ejpam-502	180	22	s	s	NOUN
ejpam-502	180	23	)	)	PUNCT
ejpam-502	180	24	�	�	PROPN
ejpam-502	180	25	s≥0	s≥0	PROPN
ejpam-502	180	26	,	,	PUNCT
ejpam-502	180	27	�	�	PROPN
ejpam-502	180	28	bs(t	bs(t	NOUN
ejpam-502	180	29	)	)	PUNCT
ejpam-502	180	30	�	�	PROPN
ejpam-502	180	31	t≥0	t≥0	NOUN
ejpam-502	180	32	on	on	ADP
ejpam-502	180	33	x	x	SYM
ejpam-502	180	34	,	,	PUNCT
ejpam-502	180	35	y	y	PROPN
ejpam-502	180	36	respectively	respectively	ADV
ejpam-502	180	37	,	,	PUNCT
ejpam-502	180	38	where	where	SCONJ
ejpam-502	180	39	�	�	PROPN
ejpam-502	180	40	bt	bt	PROPN
ejpam-502	180	41	(	(	PUNCT
ejpam-502	180	42	s	s	NOUN
ejpam-502	180	43	)	)	PUNCT
ejpam-502	180	44	�	�	PROPN
ejpam-502	180	45	s≥0	s≥0	PROPN
ejpam-502	180	46	,	,	PUNCT
ejpam-502	180	47	�	�	PROPN
ejpam-502	180	48	bs(t	bs(t	NOUN
ejpam-502	180	49	)	)	PUNCT
ejpam-502	180	50	�	�	PROPN
ejpam-502	180	51	t≥0	t≥0	NOUN
ejpam-502	180	52	are	be	AUX
ejpam-502	180	53	as	as	ADP
ejpam-502	180	54	in	in	ADP
ejpam-502	180	55	theorem	theorem	NOUN
ejpam-502	180	56	1	1	NUM
ejpam-502	180	57	.	.	PUNCT
ejpam-502	180	58	remark	remark	NOUN
ejpam-502	180	59	1	1	NUM
ejpam-502	180	60	.	.	PUNCT
ejpam-502	181	1	let	let	VERB
ejpam-502	181	2	us	we	PRON
ejpam-502	181	3	recall	recall	VERB
ejpam-502	181	4	the	the	DET
ejpam-502	181	5	followings	following	NOUN
ejpam-502	181	6	.	.	PUNCT
ejpam-502	182	1	1	1	X
ejpam-502	182	2	.	.	X
ejpam-502	182	3	let	let	VERB
ejpam-502	182	4	x	x	PRON
ejpam-502	182	5	be	be	AUX
ejpam-502	182	6	a	a	DET
ejpam-502	182	7	normed	normed	ADJ
ejpam-502	182	8	space	space	NOUN
ejpam-502	182	9	and	and	CCONJ
ejpam-502	182	10	a	a	DET
ejpam-502	182	11	be	be	AUX
ejpam-502	182	12	a	a	DET
ejpam-502	182	13	linear	linear	ADJ
ejpam-502	182	14	operator	operator	NOUN
ejpam-502	182	15	,	,	PUNCT
ejpam-502	182	16	a	a	PRON
ejpam-502	182	17	:	:	PUNCT
ejpam-502	182	18	d	d	X
ejpam-502	182	19	(	(	PUNCT
ejpam-502	182	20	t	t	PROPN
ejpam-502	182	21	)	)	PUNCT
ejpam-502	183	1	⊆	⊆	NUM
ejpam-502	183	2	x	x	SYM
ejpam-502	183	3	→	→	SYM
ejpam-502	183	4	x	x	X
ejpam-502	183	5	.	.	PUNCT
ejpam-502	184	1	a	a	DET
ejpam-502	184	2	subspace	subspace	NOUN
ejpam-502	184	3	z	z	NOUN
ejpam-502	184	4	of	of	ADP
ejpam-502	184	5	the	the	DET
ejpam-502	184	6	domain	domain	NOUN
ejpam-502	184	7	d	d	X
ejpam-502	184	8	(	(	PUNCT
ejpam-502	184	9	a	a	NOUN
ejpam-502	184	10	)	)	PUNCT
ejpam-502	184	11	is	be	AUX
ejpam-502	184	12	called	call	VERB
ejpam-502	184	13	a	a	DET
ejpam-502	184	14	core	core	NOUN
ejpam-502	184	15	for	for	SCONJ
ejpam-502	184	16	a	a	DET
ejpam-502	184	17	if	if	SCONJ
ejpam-502	184	18	z	z	NOUN
ejpam-502	184	19	is	be	AUX
ejpam-502	184	20	dense	dense	ADJ
ejpam-502	184	21	in	in	ADP
ejpam-502	184	22	d	d	PROPN
ejpam-502	184	23	(	(	PUNCT
ejpam-502	184	24	a	a	NOUN
ejpam-502	184	25	)	)	PUNCT
ejpam-502	184	26	for	for	ADP
ejpam-502	184	27	the	the	DET
ejpam-502	184	28	graph	graph	NOUN
ejpam-502	184	29	norm	norm	NOUN
ejpam-502	184	30	‖a‖a	‖a‖a	NOUN
ejpam-502	184	31	:	:	PUNCT
ejpam-502	184	32	=	=	SYM
ejpam-502	184	33	‖x‖+	‖x‖+	NUM
ejpam-502	184	34	‖ax‖.	‖ax‖.	NOUN
ejpam-502	184	35	[	[	X
ejpam-502	184	36	2	2	NUM
ejpam-502	184	37	]	]	SYM
ejpam-502	184	38	2	2	NUM
ejpam-502	184	39	.	.	X
ejpam-502	185	1	a	a	DET
ejpam-502	185	2	function	function	NOUN
ejpam-502	185	3	g	g	NOUN
ejpam-502	185	4	:	:	PUNCT
ejpam-502	185	5	r+	r+	NOUN
ejpam-502	185	6	2	2	NUM
ejpam-502	185	7	→	→	SYM
ejpam-502	185	8	x	x	SYM
ejpam-502	185	9	α⊗	α⊗	PROPN
ejpam-502	185	10	y	y	PROPN
ejpam-502	185	11	,	,	PUNCT
ejpam-502	185	12	is	be	AUX
ejpam-502	185	13	said	say	VERB
ejpam-502	185	14	to	to	PART
ejpam-502	185	15	be	be	AUX
ejpam-502	185	16	differentiable	differentiable	ADJ
ejpam-502	185	17	at	at	ADP
ejpam-502	185	18	(	(	PUNCT
ejpam-502	185	19	0,0	0,0	NOUN
ejpam-502	185	20	)	)	PUNCT
ejpam-502	185	21	if	if	SCONJ
ejpam-502	185	22	there	there	PRON
ejpam-502	185	23	exists	exist	VERB
ejpam-502	185	24	a	a	DET
ejpam-502	185	25	linear	linear	ADJ
ejpam-502	185	26	transformation	transformation	NOUN
ejpam-502	185	27	l	l	NOUN
ejpam-502	185	28	:	:	PUNCT
ejpam-502	185	29	r+	r+	NOUN
ejpam-502	185	30	2	2	NUM
ejpam-502	185	31	→	→	SYM
ejpam-502	185	32	x	x	SYM
ejpam-502	185	33	α⊗	α⊗	X
ejpam-502	185	34	y	y	PROPN
ejpam-502	185	35	such	such	ADJ
ejpam-502	185	36	that	that	SCONJ
ejpam-502	185	37	lim	lim	PROPN
ejpam-502	185	38	(	(	PUNCT
ejpam-502	185	39	s	s	PROPN
ejpam-502	185	40	,	,	PUNCT
ejpam-502	185	41	t)→(0+,0	t)→(0+,0	NOUN
ejpam-502	185	42	+	+	NOUN
ejpam-502	185	43	)	)	PUNCT
ejpam-502	185	44	‖g	‖g	NOUN
ejpam-502	185	45	(	(	PUNCT
ejpam-502	185	46	s	s	PROPN
ejpam-502	185	47	,	,	PUNCT
ejpam-502	185	48	t)−	t)−	PROPN
ejpam-502	185	49	g	g	NOUN
ejpam-502	185	50	(	(	PUNCT
ejpam-502	185	51	0,0)−l	0,0)−l	NOUN
ejpam-502	185	52	(	(	PUNCT
ejpam-502	185	53	(	(	PUNCT
ejpam-502	185	54	s	s	X
ejpam-502	185	55	,	,	PUNCT
ejpam-502	185	56	t)−	t)−	PROPN
ejpam-502	185	57	(	(	PUNCT
ejpam-502	185	58	0,0))‖	0,0))‖	PROPN
ejpam-502	185	59	‖(s	‖(s	PROPN
ejpam-502	185	60	,	,	PUNCT
ejpam-502	185	61	t)‖	t)‖	NOUN
ejpam-502	185	62	=	=	SYM
ejpam-502	185	63	0	0	PROPN
ejpam-502	185	64	.	.	PUNCT
ejpam-502	185	65	r.	r.	PROPN
ejpam-502	185	66	khalil	khalil	PROPN
ejpam-502	185	67	,	,	PUNCT
ejpam-502	185	68	r.	r.	PROPN
ejpam-502	185	69	al	al	PROPN
ejpam-502	185	70	-	-	PUNCT
ejpam-502	185	71	mirbati	mirbati	PROPN
ejpam-502	185	72	,	,	PUNCT
ejpam-502	185	73	d.	d.	PROPN
ejpam-502	185	74	drissi	drissi	PROPN
ejpam-502	185	75	/	/	PUNCT
ejpam-502	185	76	eur	eur	PROPN
ejpam-502	185	77	.	.	PUNCT
ejpam-502	186	1	j.	j.	PROPN
ejpam-502	186	2	pure	pure	PROPN
ejpam-502	186	3	appl	appl	PROPN
ejpam-502	186	4	.	.	PROPN
ejpam-502	186	5	math	math	PROPN
ejpam-502	186	6	,	,	PUNCT
ejpam-502	186	7	3	3	NUM
ejpam-502	186	8	(	(	PUNCT
ejpam-502	186	9	2010	2010	NUM
ejpam-502	186	10	)	)	PUNCT
ejpam-502	186	11	,	,	PUNCT
ejpam-502	186	12	881	881	NUM
ejpam-502	186	13	-	-	SYM
ejpam-502	186	14	898	898	NUM
ejpam-502	186	15	887	887	NUM
ejpam-502	186	16	in	in	ADP
ejpam-502	186	17	other	other	ADJ
ejpam-502	186	18	words	word	NOUN
ejpam-502	186	19	,	,	PUNCT
ejpam-502	186	20	g	g	PROPN
ejpam-502	186	21	(	(	PUNCT
ejpam-502	186	22	s	s	PROPN
ejpam-502	186	23	,	,	PUNCT
ejpam-502	186	24	t)−	t)−	PROPN
ejpam-502	186	25	g	g	NOUN
ejpam-502	186	26	(	(	PUNCT
ejpam-502	186	27	0,0	0,0	NUM
ejpam-502	186	28	)	)	PUNCT
ejpam-502	186	29	=	=	SYM
ejpam-502	186	30	l	l	NOUN
ejpam-502	186	31	(	(	PUNCT
ejpam-502	186	32	s	s	PROPN
ejpam-502	186	33	,	,	PUNCT
ejpam-502	186	34	t	t	PROPN
ejpam-502	186	35	)	)	PUNCT
ejpam-502	187	1	+	+	X
ejpam-502	188	1	r(s	r(s	PROPN
ejpam-502	188	2	,	,	PUNCT
ejpam-502	188	3	t	t	PROPN
ejpam-502	188	4	)	)	PUNCT
ejpam-502	188	5	,	,	PUNCT
ejpam-502	188	6	where	where	SCONJ
ejpam-502	188	7	lim	lim	PROPN
ejpam-502	188	8	(	(	PUNCT
ejpam-502	188	9	s	s	PROPN
ejpam-502	188	10	,	,	PUNCT
ejpam-502	188	11	t)→(0+,0	t)→(0+,0	NOUN
ejpam-502	188	12	+	+	NOUN
ejpam-502	188	13	)	)	PUNCT
ejpam-502	188	14	‖r(s	‖r(s	NUM
ejpam-502	188	15	,	,	PUNCT
ejpam-502	188	16	t)‖	t)‖	NOUN
ejpam-502	188	17	‖(s	‖(s	PROPN
ejpam-502	188	18	,	,	PUNCT
ejpam-502	188	19	t)‖	t)‖	NOUN
ejpam-502	188	20	=	=	SYM
ejpam-502	188	21	0	0	NUM
ejpam-502	188	22	.	.	NOUN
ejpam-502	189	1	3	3	X
ejpam-502	189	2	.	.	X
ejpam-502	190	1	the	the	DET
ejpam-502	190	2	transformation	transformation	NOUN
ejpam-502	190	3	l	l	NOUN
ejpam-502	190	4	above	above	ADV
ejpam-502	190	5	,	,	PUNCT
ejpam-502	190	6	if	if	SCONJ
ejpam-502	190	7	it	it	PRON
ejpam-502	190	8	exists	exist	VERB
ejpam-502	190	9	,	,	PUNCT
ejpam-502	190	10	is	be	AUX
ejpam-502	190	11	unique	unique	ADJ
ejpam-502	190	12	,	,	PUNCT
ejpam-502	190	13	and	and	CCONJ
ejpam-502	190	14	it	it	PRON
ejpam-502	190	15	is	be	AUX
ejpam-502	190	16	called	call	VERB
ejpam-502	190	17	the	the	DET
ejpam-502	190	18	derivative	derivative	NOUN
ejpam-502	190	19	of	of	ADP
ejpam-502	190	20	g	g	NOUN
ejpam-502	190	21	at	at	ADP
ejpam-502	190	22	(	(	PUNCT
ejpam-502	190	23	0,0	0,0	NOUN
ejpam-502	190	24	)	)	PUNCT
ejpam-502	190	25	.	.	PUNCT
ejpam-502	191	1	4	4	X
ejpam-502	191	2	.	.	X
ejpam-502	191	3	for	for	ADP
ejpam-502	191	4	a	a	DET
ejpam-502	191	5	fixed	fix	VERB
ejpam-502	191	6	z	z	NOUN
ejpam-502	191	7	∈	∈	PROPN
ejpam-502	191	8	x	x	X
ejpam-502	191	9	α⊗	α⊗	NOUN
ejpam-502	191	10	y	y	PROPN
ejpam-502	191	11	,	,	PUNCT
ejpam-502	191	12	if	if	SCONJ
ejpam-502	191	13	g(s	g(	NOUN
ejpam-502	191	14	,	,	PUNCT
ejpam-502	191	15	t)z	t)z	PUNCT
ejpam-502	191	16	=	=	SYM
ejpam-502	191	17	(	(	PUNCT
ejpam-502	191	18	t	t	PROPN
ejpam-502	191	19	(	(	PUNCT
ejpam-502	191	20	·	·	PUNCT
ejpam-502	191	21	)	)	PUNCT
ejpam-502	191	22	⊗	⊗	PROPN
ejpam-502	191	23	s	s	X
ejpam-502	191	24	(	(	PUNCT
ejpam-502	191	25	·	·	PUNCT
ejpam-502	191	26	·	·	PUNCT
ejpam-502	191	27	)	)	PUNCT
ejpam-502	191	28	)	)	PUNCT
ejpam-502	192	1	z	z	X
ejpam-502	192	2	,	,	PUNCT
ejpam-502	192	3	then	then	ADV
ejpam-502	192	4	(	(	PUNCT
ejpam-502	192	5	2	2	X
ejpam-502	192	6	)	)	PUNCT
ejpam-502	192	7	becomes	become	VERB
ejpam-502	192	8	�	�	PROPN
ejpam-502	192	9	t	t	PROPN
ejpam-502	192	10	(	(	PUNCT
ejpam-502	192	11	s	s	NOUN
ejpam-502	192	12	)	)	PUNCT
ejpam-502	192	13	α⊗	α⊗	NOUN
ejpam-502	192	14	s	s	X
ejpam-502	192	15	(	(	PUNCT
ejpam-502	192	16	t	t	PROPN
ejpam-502	192	17	)	)	PUNCT
ejpam-502	192	18	�	�	PROPN
ejpam-502	192	19	z	z	PROPN
ejpam-502	192	20	−	−	PROPN
ejpam-502	192	21	z	z	NOUN
ejpam-502	192	22	=	=	SYM
ejpam-502	192	23	l	l	NOUN
ejpam-502	192	24	(	(	PUNCT
ejpam-502	192	25	s	s	PROPN
ejpam-502	192	26	,	,	PUNCT
ejpam-502	192	27	t	t	PROPN
ejpam-502	192	28	)	)	PUNCT
ejpam-502	192	29	z	z	NOUN
ejpam-502	193	1	+	+	CCONJ
ejpam-502	193	2	r(s	r(s	ADJ
ejpam-502	193	3	,	,	PUNCT
ejpam-502	193	4	t)z	t)z	NOUN
ejpam-502	193	5	,	,	PUNCT
ejpam-502	193	6	and	and	CCONJ
ejpam-502	193	7	(	(	PUNCT
ejpam-502	193	8	2	2	X
ejpam-502	193	9	)	)	PUNCT
ejpam-502	193	10	comes	come	VERB
ejpam-502	193	11	to	to	ADP
ejpam-502	193	12	lim	lim	PROPN
ejpam-502	193	13	(	(	PUNCT
ejpam-502	193	14	s	s	PROPN
ejpam-502	193	15	,	,	PUNCT
ejpam-502	193	16	t)→(0+,0	t)→(0+,0	NOUN
ejpam-502	193	17	+	+	NOUN
ejpam-502	193	18	)	)	PUNCT
ejpam-502	193	19	‖r(s	‖r(s	NUM
ejpam-502	193	20	,	,	PUNCT
ejpam-502	193	21	t)z‖	t)z‖	PROPN
ejpam-502	193	22	‖(s	‖(s	PROPN
ejpam-502	193	23	,	,	PUNCT
ejpam-502	193	24	t)‖	t)‖	NOUN
ejpam-502	193	25	=	=	SYM
ejpam-502	193	26	0	0	NUM
ejpam-502	193	27	,	,	PUNCT
ejpam-502	193	28	for	for	ADP
ejpam-502	193	29	all	all	DET
ejpam-502	193	30	z	z	NOUN
ejpam-502	193	31	where	where	SCONJ
ejpam-502	193	32	(	(	PUNCT
ejpam-502	193	33	2	2	X
ejpam-502	193	34	)	)	PUNCT
ejpam-502	193	35	holds	hold	NOUN
ejpam-502	193	36	.	.	PUNCT
ejpam-502	194	1	5	5	X
ejpam-502	194	2	.	.	X
ejpam-502	194	3	if	if	SCONJ
ejpam-502	194	4	it	it	PRON
ejpam-502	194	5	is	be	AUX
ejpam-502	194	6	shown	show	VERB
ejpam-502	194	7	that	that	SCONJ
ejpam-502	194	8	for	for	ADP
ejpam-502	194	9	any	any	DET
ejpam-502	194	10	z	z	NOUN
ejpam-502	194	11	satisfying	satisfying	NOUN
ejpam-502	194	12	(	(	PUNCT
ejpam-502	194	13	4	4	NUM
ejpam-502	194	14	)	)	PUNCT
ejpam-502	194	15	,	,	PUNCT
ejpam-502	194	16	one	one	PRON
ejpam-502	194	17	has	have	VERB
ejpam-502	194	18	the	the	DET
ejpam-502	194	19	same	same	ADJ
ejpam-502	194	20	l	l	NOUN
ejpam-502	194	21	(	(	PUNCT
ejpam-502	194	22	·	·	PUNCT
ejpam-502	194	23	,	,	PUNCT
ejpam-502	194	24	·	·	PUNCT
ejpam-502	194	25	·	·	PUNCT
ejpam-502	194	26	)	)	PUNCT
ejpam-502	194	27	in	in	ADP
ejpam-502	194	28	(	(	PUNCT
ejpam-502	194	29	4	4	NUM
ejpam-502	194	30	)	)	PUNCT
ejpam-502	194	31	,	,	PUNCT
ejpam-502	194	32	then	then	ADV
ejpam-502	194	33	one	one	PRON
ejpam-502	194	34	can	can	AUX
ejpam-502	194	35	consider	consider	VERB
ejpam-502	194	36	the	the	DET
ejpam-502	194	37	derivative	derivative	NOUN
ejpam-502	194	38	as	as	ADP
ejpam-502	194	39	the	the	DET
ejpam-502	194	40	linear	linear	ADJ
ejpam-502	194	41	transformation	transformation	NOUN
ejpam-502	194	42	from	from	ADP
ejpam-502	194	43	r	r	NOUN
ejpam-502	194	44	+2	+2	PROPN
ejpam-502	194	45	→	→	SYM
ejpam-502	194	46	l	l	X
ejpam-502	194	47	�	�	PROPN
ejpam-502	194	48	x	x	SYM
ejpam-502	194	49	α⊗	α⊗	PROPN
ejpam-502	194	50	y	y	PROPN
ejpam-502	194	51	�	�	PROPN
ejpam-502	194	52	,	,	PUNCT
ejpam-502	194	53	where	where	SCONJ
ejpam-502	194	54	l	l	PROPN
ejpam-502	194	55	�	�	PROPN
ejpam-502	194	56	x	x	SYM
ejpam-502	194	57	α⊗	α⊗	PROPN
ejpam-502	194	58	y	y	PROPN
ejpam-502	194	59	�	�	PROPN
ejpam-502	194	60	is	be	AUX
ejpam-502	194	61	the	the	DET
ejpam-502	194	62	space	space	NOUN
ejpam-502	194	63	of	of	ADP
ejpam-502	194	64	linear	linear	PROPN
ejpam-502	194	65	(	(	PUNCT
ejpam-502	194	66	not	not	PART
ejpam-502	194	67	necessarily	necessarily	ADV
ejpam-502	194	68	bounded	bound	VERB
ejpam-502	194	69	)	)	PUNCT
ejpam-502	194	70	operators	operator	NOUN
ejpam-502	194	71	on	on	ADP
ejpam-502	194	72	x	x	SYM
ejpam-502	194	73	α⊗	α⊗	PROPN
ejpam-502	194	74	y	y	PROPN
ejpam-502	194	75	,	,	PUNCT
ejpam-502	194	76	in	in	ADP
ejpam-502	194	77	the	the	DET
ejpam-502	194	78	following	follow	VERB
ejpam-502	194	79	sense	sense	NOUN
ejpam-502	194	80	:	:	PUNCT
ejpam-502	194	81	for	for	ADP
ejpam-502	194	82	all	all	DET
ejpam-502	194	83	z	z	NOUN
ejpam-502	194	84	such	such	ADJ
ejpam-502	194	85	that	that	SCONJ
ejpam-502	194	86	(	(	PUNCT
ejpam-502	194	87	4	4	X
ejpam-502	194	88	)	)	PUNCT
ejpam-502	194	89	holds	hold	VERB
ejpam-502	194	90	,	,	PUNCT
ejpam-502	194	91	there	there	PRON
ejpam-502	194	92	is	be	VERB
ejpam-502	194	93	a	a	DET
ejpam-502	194	94	linear	linear	ADJ
ejpam-502	194	95	transformation	transformation	NOUN
ejpam-502	194	96	bl	bl	INTJ
ejpam-502	194	97	:	:	PUNCT
ejpam-502	194	98	r+	r+	PUNCT
ejpam-502	194	99	2	2	NUM
ejpam-502	194	100	→	→	SYM
ejpam-502	194	101	l	l	X
ejpam-502	194	102	�	�	PROPN
ejpam-502	194	103	x	x	SYM
ejpam-502	194	104	α⊗	α⊗	PROPN
ejpam-502	194	105	y	y	PROPN
ejpam-502	194	106	�	�	PROPN
ejpam-502	194	107	,	,	PUNCT
ejpam-502	194	108	where	where	SCONJ
ejpam-502	194	109	(	(	PUNCT
ejpam-502	194	110	s	s	X
ejpam-502	194	111	,	,	PUNCT
ejpam-502	194	112	t	t	PROPN
ejpam-502	194	113	)	)	PUNCT
ejpam-502	194	114	7→	7→	PROPN
ejpam-502	195	1	bl	bl	PROPN
ejpam-502	195	2	(	(	PUNCT
ejpam-502	195	3	s	s	PROPN
ejpam-502	195	4	,	,	PUNCT
ejpam-502	195	5	t	t	PROPN
ejpam-502	195	6	)	)	PUNCT
ejpam-502	195	7	such	such	ADJ
ejpam-502	195	8	that	that	PRON
ejpam-502	195	9	bl	bl	PROPN
ejpam-502	195	10	(	(	PUNCT
ejpam-502	195	11	s	s	PROPN
ejpam-502	195	12	,	,	PUNCT
ejpam-502	195	13	t	t	NOUN
ejpam-502	195	14	)	)	PUNCT
ejpam-502	195	15	z	z	NOUN
ejpam-502	195	16	=	=	PUNCT
ejpam-502	195	17	l	l	NOUN
ejpam-502	195	18	(	(	PUNCT
ejpam-502	195	19	s	s	PROPN
ejpam-502	195	20	,	,	PUNCT
ejpam-502	195	21	t	t	PROPN
ejpam-502	195	22	)	)	PUNCT
ejpam-502	195	23	z.	z.	PROPN
ejpam-502	195	24	6	6	NUM
ejpam-502	195	25	.	.	PUNCT
ejpam-502	196	1	in	in	SCONJ
ejpam-502	196	2	case	case	NOUN
ejpam-502	196	3	of	of	ADP
ejpam-502	196	4	item	item	NOUN
ejpam-502	196	5	5	5	NUM
ejpam-502	196	6	holds	hold	VERB
ejpam-502	196	7	,	,	PUNCT
ejpam-502	196	8	if	if	SCONJ
ejpam-502	196	9	moreover	moreover	ADV
ejpam-502	196	10	,	,	PUNCT
ejpam-502	196	11	l	l	NOUN
ejpam-502	196	12	is	be	AUX
ejpam-502	196	13	of	of	ADP
ejpam-502	196	14	the	the	DET
ejpam-502	196	15	form	form	NOUN
ejpam-502	196	16	�	�	PROPN
ejpam-502	196	17	l1,l2	l1,l2	PROPN
ejpam-502	196	18	�	�	PROPN
ejpam-502	196	19	then	then	ADV
ejpam-502	196	20	for	for	ADP
ejpam-502	196	21	any	any	DET
ejpam-502	196	22	(	(	PUNCT
ejpam-502	196	23	s	s	PROPN
ejpam-502	196	24	,	,	PUNCT
ejpam-502	196	25	t	t	PROPN
ejpam-502	196	26	)	)	PUNCT
ejpam-502	196	27	∈r+2	∈r+2	X
ejpam-502	197	1	the	the	DET
ejpam-502	197	2	domain	domain	NOUN
ejpam-502	197	3	of	of	ADP
ejpam-502	197	4	bl	bl	PROPN
ejpam-502	197	5	(	(	PUNCT
ejpam-502	197	6	s	s	PROPN
ejpam-502	197	7	,	,	PUNCT
ejpam-502	197	8	t	t	PROPN
ejpam-502	197	9	)	)	PUNCT
ejpam-502	197	10	is	be	AUX
ejpam-502	197	11	d	d	PROPN
ejpam-502	197	12	�	�	PROPN
ejpam-502	197	13	sl1	sl1	PROPN
ejpam-502	197	14	+	+	CCONJ
ejpam-502	197	15	tl2	tl2	PROPN
ejpam-502	197	16	�	�	PROPN
ejpam-502	197	17	,	,	PUNCT
ejpam-502	197	18	the	the	DET
ejpam-502	197	19	domain	domain	NOUN
ejpam-502	197	20	of	of	ADP
ejpam-502	197	21	sl1	sl1	PROPN
ejpam-502	197	22	+	+	CCONJ
ejpam-502	197	23	tl2	tl2	NOUN
ejpam-502	197	24	which	which	PRON
ejpam-502	197	25	is	be	AUX
ejpam-502	197	26	d	d	PROPN
ejpam-502	197	27	�	�	PROPN
ejpam-502	197	28	l1	l1	PROPN
ejpam-502	197	29	�	�	PROPN
ejpam-502	197	30	∩d	∩d	NOUN
ejpam-502	197	31	�	�	PROPN
ejpam-502	197	32	l2	l2	PROPN
ejpam-502	197	33	�	�	PROPN
ejpam-502	197	34	.	.	PUNCT
ejpam-502	198	1	definition	definition	NOUN
ejpam-502	198	2	2	2	NUM
ejpam-502	198	3	.	.	PUNCT
ejpam-502	199	1	let	let	VERB
ejpam-502	199	2	(	(	PUNCT
ejpam-502	199	3	t	t	PROPN
ejpam-502	199	4	(	(	PUNCT
ejpam-502	199	5	s)⊗	s)⊗	PROPN
ejpam-502	199	6	s	s	PART
ejpam-502	199	7	(	(	PUNCT
ejpam-502	199	8	t))s	t))s	PROPN
ejpam-502	199	9	,	,	PUNCT
ejpam-502	199	10	t≥0	t≥0	NOUN
ejpam-502	199	11	be	be	AUX
ejpam-502	199	12	a	a	DET
ejpam-502	199	13	t.p.s	t.p.s	NOUN
ejpam-502	199	14	.	.	PUNCT
ejpam-502	200	1	on	on	ADP
ejpam-502	200	2	x	x	SYM
ejpam-502	200	3	α⊗	α⊗	PROPN
ejpam-502	200	4	y	y	PROPN
ejpam-502	200	5	.	.	PUNCT
ejpam-502	201	1	the	the	DET
ejpam-502	201	2	infinitesimal	infinitesimal	ADJ
ejpam-502	201	3	generator	generator	NOUN
ejpam-502	201	4	a	a	PRON
ejpam-502	201	5	of	of	ADP
ejpam-502	201	6	(	(	PUNCT
ejpam-502	201	7	t	t	PROPN
ejpam-502	201	8	(	(	PUNCT
ejpam-502	201	9	s)⊗	s)⊗	PROPN
ejpam-502	201	10	s	s	PART
ejpam-502	201	11	(	(	PUNCT
ejpam-502	201	12	t))s	t))s	PROPN
ejpam-502	201	13	,	,	PUNCT
ejpam-502	201	14	t≥0	t≥0	NOUN
ejpam-502	201	15	is	be	AUX
ejpam-502	201	16	defined	define	VERB
ejpam-502	201	17	as	as	SCONJ
ejpam-502	201	18	follows	follow	VERB
ejpam-502	201	19	d	d	X
ejpam-502	201	20	(	(	PUNCT
ejpam-502	201	21	a	a	X
ejpam-502	201	22	)	)	PUNCT
ejpam-502	202	1	=	=	PUNCT
ejpam-502	202	2	§	§	PROPN
ejpam-502	202	3	z	z	PROPN
ejpam-502	202	4	∈	∈	PROPN
ejpam-502	202	5	x	x	X
ejpam-502	202	6	α⊗	α⊗	NOUN
ejpam-502	202	7	y	y	PROPN
ejpam-502	202	8	:	:	PUNCT
ejpam-502	202	9	�	�	PROPN
ejpam-502	202	10	t	t	PROPN
ejpam-502	202	11	(	(	PUNCT
ejpam-502	202	12	s	s	NOUN
ejpam-502	202	13	)	)	PUNCT
ejpam-502	202	14	α⊗	α⊗	NOUN
ejpam-502	202	15	s	s	X
ejpam-502	202	16	(	(	PUNCT
ejpam-502	202	17	t	t	PROPN
ejpam-502	202	18	)	)	PUNCT
ejpam-502	202	19	�	�	PROPN
ejpam-502	202	20	z	z	PROPN
ejpam-502	202	21	is	be	AUX
ejpam-502	202	22	differentiable	differentiable	ADJ
ejpam-502	202	23	at	at	ADP
ejpam-502	202	24	(	(	PUNCT
ejpam-502	202	25	0,0	0,0	NOUN
ejpam-502	202	26	)	)	PUNCT
ejpam-502	202	27	ª	ª	PROPN
ejpam-502	202	28	,	,	PUNCT
ejpam-502	202	29	az	az	PROPN
ejpam-502	202	30	=	=	SYM
ejpam-502	202	31	d	d	PROPN
ejpam-502	202	32	�	�	PROPN
ejpam-502	202	33	t	t	PROPN
ejpam-502	202	34	(	(	PUNCT
ejpam-502	202	35	s	s	NOUN
ejpam-502	202	36	)	)	PUNCT
ejpam-502	202	37	α⊗	α⊗	NOUN
ejpam-502	202	38	s	s	X
ejpam-502	202	39	(	(	PUNCT
ejpam-502	202	40	t	t	PROPN
ejpam-502	202	41	)	)	PUNCT
ejpam-502	202	42	�	�	PROPN
ejpam-502	202	43	z|(s	z|(s	PROPN
ejpam-502	202	44	,	,	PUNCT
ejpam-502	202	45	t)=(0,0	t)=(0,0	NOUN
ejpam-502	202	46	)	)	PUNCT
ejpam-502	202	47	for	for	ADP
ejpam-502	202	48	z	z	PROPN
ejpam-502	202	49	∈d	∈d	PROPN
ejpam-502	202	50	(	(	PUNCT
ejpam-502	202	51	a	a	NOUN
ejpam-502	202	52	)	)	PUNCT
ejpam-502	202	53	,	,	PUNCT
ejpam-502	202	54	where	where	SCONJ
ejpam-502	202	55	d	d	X
ejpam-502	202	56	(	(	PUNCT
ejpam-502	202	57	a	a	NOUN
ejpam-502	202	58	)	)	PUNCT
ejpam-502	202	59	is	be	AUX
ejpam-502	202	60	the	the	DET
ejpam-502	202	61	domain	domain	NOUN
ejpam-502	202	62	of	of	ADP
ejpam-502	202	63	a	a	PRON
ejpam-502	202	64	,	,	PUNCT
ejpam-502	202	65	and	and	CCONJ
ejpam-502	202	66	d	d	PROPN
ejpam-502	202	67	�	�	PROPN
ejpam-502	202	68	t	t	PROPN
ejpam-502	202	69	(	(	PUNCT
ejpam-502	202	70	s	s	NOUN
ejpam-502	202	71	)	)	PUNCT
ejpam-502	202	72	α⊗	α⊗	NOUN
ejpam-502	202	73	s	s	X
ejpam-502	202	74	(	(	PUNCT
ejpam-502	202	75	t	t	PROPN
ejpam-502	202	76	)	)	PUNCT
ejpam-502	202	77	�	�	PROPN
ejpam-502	202	78	z|(s	z|(s	PROPN
ejpam-502	202	79	,	,	PUNCT
ejpam-502	202	80	t)=(0,0	t)=(0,0	NOUN
ejpam-502	202	81	)	)	PUNCT
ejpam-502	202	82	is	be	AUX
ejpam-502	202	83	the	the	DET
ejpam-502	202	84	derivative	derivative	NOUN
ejpam-502	202	85	of	of	ADP
ejpam-502	202	86	t	t	PROPN
ejpam-502	202	87	(	(	PUNCT
ejpam-502	202	88	s	s	NOUN
ejpam-502	202	89	)	)	PUNCT
ejpam-502	202	90	α⊗	α⊗	NOUN
ejpam-502	202	91	s	s	X
ejpam-502	202	92	(	(	PUNCT
ejpam-502	202	93	t	t	PROPN
ejpam-502	202	94	)	)	PUNCT
ejpam-502	202	95	z	z	NOUN
ejpam-502	202	96	as	as	ADP
ejpam-502	202	97	a	a	DET
ejpam-502	202	98	function	function	NOUN
ejpam-502	202	99	of	of	ADP
ejpam-502	202	100	two	two	NUM
ejpam-502	202	101	variables	variable	NOUN
ejpam-502	202	102	at	at	ADP
ejpam-502	202	103	(	(	PUNCT
ejpam-502	202	104	s	s	PROPN
ejpam-502	202	105	,	,	PUNCT
ejpam-502	202	106	t	t	PROPN
ejpam-502	202	107	)	)	PUNCT
ejpam-502	202	108	=	=	SYM
ejpam-502	202	109	(	(	PUNCT
ejpam-502	202	110	0,0	0,0	NOUN
ejpam-502	202	111	)	)	PUNCT
ejpam-502	202	112	.	.	PUNCT
ejpam-502	203	1	lemma	lemma	PROPN
ejpam-502	203	2	5	5	NUM
ejpam-502	203	3	.	.	PUNCT
ejpam-502	203	4	�	�	PROPN
ejpam-502	203	5	a1	a1	PROPN
ejpam-502	203	6	⊗	⊗	PROPN
ejpam-502	203	7	i	i	PROPN
ejpam-502	203	8	�	�	PROPN
ejpam-502	203	9	�	�	PROPN
ejpam-502	203	10	x	x	SYM
ejpam-502	203	11	⊗	⊗	PROPN
ejpam-502	203	12	y	y	PROPN
ejpam-502	203	13	�	�	PROPN
ejpam-502	203	14	=	=	SYM
ejpam-502	203	15	∂	∂	NUM
ejpam-502	203	16	∂	∂	NUM
ejpam-502	203	17	s	s	PART
ejpam-502	203	18	�	�	PROPN
ejpam-502	203	19	(	(	PUNCT
ejpam-502	203	20	t	t	PROPN
ejpam-502	203	21	(	(	PUNCT
ejpam-502	203	22	s)⊗	s)⊗	PROPN
ejpam-502	203	23	s	s	PROPN
ejpam-502	203	24	(	(	PUNCT
ejpam-502	203	25	t	t	PROPN
ejpam-502	203	26	)	)	PUNCT
ejpam-502	203	27	)	)	PUNCT
ejpam-502	203	28	�	�	PROPN
ejpam-502	204	1	x	x	PUNCT
ejpam-502	204	2	⊗	⊗	PROPN
ejpam-502	204	3	y	y	PROPN
ejpam-502	204	4	�	�	PROPN
ejpam-502	204	5	�	�	PROPN
ejpam-502	204	6	|(s	|(s	PROPN
ejpam-502	204	7	,	,	PUNCT
ejpam-502	204	8	t)=(0,0	t)=(0,0	NOUN
ejpam-502	204	9	)	)	PUNCT
ejpam-502	204	10	,	,	PUNCT
ejpam-502	204	11	and	and	CCONJ
ejpam-502	204	12	�	�	PROPN
ejpam-502	204	13	i	i	PROPN
ejpam-502	204	14	⊗	⊗	PROPN
ejpam-502	204	15	a2	a2	PROPN
ejpam-502	204	16	�	�	PROPN
ejpam-502	204	17	�	�	PROPN
ejpam-502	204	18	x	x	PROPN
ejpam-502	204	19	⊗	⊗	PROPN
ejpam-502	204	20	y	y	PROPN
ejpam-502	204	21	�	�	PROPN
ejpam-502	204	22	=	=	SYM
ejpam-502	204	23	∂	∂	NUM
ejpam-502	204	24	∂	∂	NUM
ejpam-502	204	25	t	t	PROPN
ejpam-502	204	26	�	�	PROPN
ejpam-502	204	27	(	(	PUNCT
ejpam-502	204	28	t	t	PROPN
ejpam-502	204	29	(	(	PUNCT
ejpam-502	204	30	s)⊗	s)⊗	PROPN
ejpam-502	204	31	s	s	PROPN
ejpam-502	204	32	(	(	PUNCT
ejpam-502	204	33	t	t	PROPN
ejpam-502	204	34	)	)	PUNCT
ejpam-502	204	35	)	)	PUNCT
ejpam-502	204	36	�	�	PROPN
ejpam-502	204	37	x	x	PUNCT
ejpam-502	204	38	⊗	⊗	PROPN
ejpam-502	204	39	y	y	PROPN
ejpam-502	204	40	�	�	PROPN
ejpam-502	204	41	�	�	PROPN
ejpam-502	204	42	|(s	|(s	PROPN
ejpam-502	204	43	,	,	PUNCT
ejpam-502	204	44	t)=(0,0	t)=(0,0	NOUN
ejpam-502	204	45	)	)	PUNCT
ejpam-502	204	46	for	for	ADP
ejpam-502	204	47	all	all	DET
ejpam-502	204	48	x	x	SYM
ejpam-502	204	49	∈	∈	PROPN
ejpam-502	204	50	d(a1	d(a1	NOUN
ejpam-502	204	51	)	)	PUNCT
ejpam-502	204	52	,	,	PUNCT
ejpam-502	204	53	y	y	PROPN
ejpam-502	204	54	∈	∈	PROPN
ejpam-502	204	55	d(a2	d(a2	NOUN
ejpam-502	204	56	)	)	PUNCT
ejpam-502	204	57	,	,	PUNCT
ejpam-502	204	58	where	where	SCONJ
ejpam-502	204	59	a1	a1	NOUN
ejpam-502	204	60	and	and	CCONJ
ejpam-502	204	61	a2	a2	PROPN
ejpam-502	204	62	are	be	AUX
ejpam-502	204	63	the	the	DET
ejpam-502	204	64	infinitesimal	infinitesimal	ADJ
ejpam-502	204	65	generators	generator	NOUN
ejpam-502	204	66	of	of	ADP
ejpam-502	204	67	the	the	DET
ejpam-502	204	68	coordinate	coordinate	NOUN
ejpam-502	204	69	semigroups	semigroup	VERB
ejpam-502	204	70	respectively	respectively	ADV
ejpam-502	204	71	.	.	PUNCT
ejpam-502	205	1	r.	r.	PROPN
ejpam-502	205	2	khalil	khalil	PROPN
ejpam-502	205	3	,	,	PUNCT
ejpam-502	205	4	r.	r.	PROPN
ejpam-502	205	5	al	al	PROPN
ejpam-502	205	6	-	-	PUNCT
ejpam-502	205	7	mirbati	mirbati	PROPN
ejpam-502	205	8	,	,	PUNCT
ejpam-502	205	9	d.	d.	PROPN
ejpam-502	205	10	drissi	drissi	PROPN
ejpam-502	205	11	/	/	PUNCT
ejpam-502	205	12	eur	eur	PROPN
ejpam-502	205	13	.	.	PUNCT
ejpam-502	206	1	j.	j.	PROPN
ejpam-502	206	2	pure	pure	PROPN
ejpam-502	206	3	appl	appl	PROPN
ejpam-502	206	4	.	.	PROPN
ejpam-502	206	5	math	math	PROPN
ejpam-502	206	6	,	,	PUNCT
ejpam-502	206	7	3	3	NUM
ejpam-502	206	8	(	(	PUNCT
ejpam-502	206	9	2010	2010	NUM
ejpam-502	206	10	)	)	PUNCT
ejpam-502	206	11	,	,	PUNCT
ejpam-502	206	12	881	881	NUM
ejpam-502	206	13	-	-	SYM
ejpam-502	206	14	898	898	NUM
ejpam-502	206	15	888	888	NUM
ejpam-502	206	16	proof	proof	NOUN
ejpam-502	206	17	.	.	PUNCT
ejpam-502	207	1	let	let	VERB
ejpam-502	207	2	x	x	PART
ejpam-502	207	3	∈d(a1	∈d(a1	PROPN
ejpam-502	207	4	)	)	PUNCT
ejpam-502	207	5	,	,	PUNCT
ejpam-502	207	6	y	y	PROPN
ejpam-502	207	7	∈d(a2	∈d(a2	PROPN
ejpam-502	207	8	)	)	PUNCT
ejpam-502	207	9	.	.	PUNCT
ejpam-502	208	1	then	then	ADV
ejpam-502	208	2	∂	∂	NUM
ejpam-502	208	3	∂	∂	NUM
ejpam-502	208	4	s	s	PART
ejpam-502	208	5	�	�	PROPN
ejpam-502	208	6	t	t	PROPN
ejpam-502	208	7	(	(	PUNCT
ejpam-502	208	8	s)⊗	s)⊗	PROPN
ejpam-502	208	9	s	s	PROPN
ejpam-502	208	10	(	(	PUNCT
ejpam-502	208	11	t	t	PROPN
ejpam-502	208	12	)	)	PUNCT
ejpam-502	208	13	�	�	PROPN
ejpam-502	208	14	x	x	PUNCT
ejpam-502	208	15	⊗	⊗	PROPN
ejpam-502	208	16	y	y	PROPN
ejpam-502	208	17	�	�	PROPN
ejpam-502	208	18	�	�	PROPN
ejpam-502	208	19	|(s	|(s	PROPN
ejpam-502	208	20	,	,	PUNCT
ejpam-502	208	21	t)=(0,0	t)=(0,0	NOUN
ejpam-502	208	22	)	)	PUNCT
ejpam-502	209	1	=	=	VERB
ejpam-502	209	2	lim	lim	PROPN
ejpam-502	209	3	h→0	h→0	PROPN
ejpam-502	209	4	+	+	CCONJ
ejpam-502	209	5	(	(	PUNCT
ejpam-502	209	6	t	t	PROPN
ejpam-502	209	7	(	(	PUNCT
ejpam-502	209	8	h)⊗	h)⊗	PROPN
ejpam-502	209	9	s	s	X
ejpam-502	209	10	(	(	PUNCT
ejpam-502	209	11	0	0	NUM
ejpam-502	209	12	)	)	PUNCT
ejpam-502	209	13	)	)	PUNCT
ejpam-502	209	14	�	�	PROPN
ejpam-502	210	1	x	x	PUNCT
ejpam-502	210	2	⊗	⊗	PROPN
ejpam-502	210	3	y	y	PROPN
ejpam-502	210	4	�	�	PROPN
ejpam-502	210	5	−	−	PROPN
ejpam-502	210	6	(	(	PUNCT
ejpam-502	210	7	t	t	PROPN
ejpam-502	210	8	(	(	PUNCT
ejpam-502	210	9	0)⊗	0)⊗	NUM
ejpam-502	210	10	s	s	X
ejpam-502	210	11	(	(	PUNCT
ejpam-502	210	12	0	0	NUM
ejpam-502	210	13	)	)	PUNCT
ejpam-502	210	14	)	)	PUNCT
ejpam-502	210	15	�	�	PROPN
ejpam-502	210	16	x	x	PUNCT
ejpam-502	210	17	⊗	⊗	PROPN
ejpam-502	210	18	y	y	PROPN
ejpam-502	210	19	�	�	PROPN
ejpam-502	210	20	h	h	PROPN
ejpam-502	211	1	=	=	PROPN
ejpam-502	211	2	lim	lim	PROPN
ejpam-502	211	3	h→0	h→0	PROPN
ejpam-502	211	4	+	+	SYM
ejpam-502	211	5	�	�	PROPN
ejpam-502	211	6	�	�	PROPN
ejpam-502	211	7	t	t	PROPN
ejpam-502	211	8	(	(	PUNCT
ejpam-502	211	9	h	h	NOUN
ejpam-502	211	10	)	)	PUNCT
ejpam-502	211	11	−	−	PROPN
ejpam-502	212	1	i	i	PRON
ejpam-502	212	2	h	h	VERB
ejpam-502	212	3	x	x	X
ejpam-502	212	4	�	�	PROPN
ejpam-502	212	5	⊗	⊗	PROPN
ejpam-502	212	6	y	y	PROPN
ejpam-502	212	7	�	�	PROPN
ejpam-502	212	8	=	=	SYM
ejpam-502	212	9	�	�	PROPN
ejpam-502	212	10	lim	lim	PROPN
ejpam-502	212	11	h→0	h→0	PROPN
ejpam-502	212	12	+	+	PROPN
ejpam-502	212	13	�	�	PROPN
ejpam-502	212	14	t	t	PROPN
ejpam-502	212	15	(	(	PUNCT
ejpam-502	212	16	h)−	h)−	PROPN
ejpam-502	213	1	i	i	PRON
ejpam-502	213	2	h	h	NOUN
ejpam-502	213	3	x	x	VERB
ejpam-502	213	4	�	�	PROPN
ejpam-502	213	5	�	�	PROPN
ejpam-502	213	6	⊗	⊗	PROPN
ejpam-502	213	7	y	y	PROPN
ejpam-502	213	8	=	=	SYM
ejpam-502	213	9	�	�	PROPN
ejpam-502	213	10	a1	a1	PROPN
ejpam-502	213	11	x	x	SYM
ejpam-502	213	12	�	�	PROPN
ejpam-502	213	13	⊗	⊗	PROPN
ejpam-502	213	14	y.	y.	PROPN
ejpam-502	213	15	similarly	similarly	ADV
ejpam-502	213	16	for	for	ADP
ejpam-502	213	17	i	i	PROPN
ejpam-502	213	18	⊗	⊗	PROPN
ejpam-502	213	19	a2	a2	PROPN
ejpam-502	213	20	.	.	PUNCT
ejpam-502	214	1	now	now	ADV
ejpam-502	214	2	,	,	PUNCT
ejpam-502	214	3	let	let	VERB
ejpam-502	214	4	�	�	PROPN
ejpam-502	214	5	t	t	PROPN
ejpam-502	214	6	(	(	PUNCT
ejpam-502	214	7	s	s	NOUN
ejpam-502	214	8	)	)	PUNCT
ejpam-502	214	9	α⊗	α⊗	NOUN
ejpam-502	214	10	i	i	PRON
ejpam-502	214	11	�	�	PROPN
ejpam-502	214	12	s≥0	s≥0	PROPN
ejpam-502	214	13	,	,	PUNCT
ejpam-502	214	14	(	(	PUNCT
ejpam-502	214	15	t	t	PROPN
ejpam-502	214	16	(	(	PUNCT
ejpam-502	214	17	s))s≥0	s))s≥0	PROPN
ejpam-502	214	18	be	be	AUX
ejpam-502	214	19	one	one	NUM
ejpam-502	214	20	parameter	parameter	NOUN
ejpam-502	214	21	c0	c0	NOUN
ejpam-502	214	22	semigroups	semigroup	VERB
ejpam-502	214	23	on	on	ADP
ejpam-502	214	24	the	the	DET
ejpam-502	214	25	banach	banach	NOUN
ejpam-502	214	26	spaces	space	NOUN
ejpam-502	214	27	x	x	INTJ
ejpam-502	214	28	α⊗	α⊗	PROPN
ejpam-502	214	29	y	y	PROPN
ejpam-502	214	30	,	,	PUNCT
ejpam-502	214	31	x	x	PUNCT
ejpam-502	214	32	with	with	ADP
ejpam-502	214	33	infinitesimal	infinitesimal	ADJ
ejpam-502	214	34	generators	generator	NOUN
ejpam-502	214	35	a	a	PRON
ejpam-502	214	36	,	,	PUNCT
ejpam-502	214	37	a1	a1	NOUN
ejpam-502	214	38	respectively	respectively	ADV
ejpam-502	214	39	.	.	PUNCT
ejpam-502	215	1	then	then	ADV
ejpam-502	215	2	,	,	PUNCT
ejpam-502	215	3	one	one	PRON
ejpam-502	215	4	can	can	AUX
ejpam-502	215	5	easily	easily	ADV
ejpam-502	215	6	see	see	VERB
ejpam-502	215	7	:	:	PUNCT
ejpam-502	215	8	a.	a.	NOUN
ejpam-502	215	9	d(a1)⊗	d(a1)⊗	PROPN
ejpam-502	215	10	y	y	PROPN
ejpam-502	215	11	is	be	AUX
ejpam-502	215	12	a	a	DET
ejpam-502	215	13	subspace	subspace	NOUN
ejpam-502	215	14	of	of	ADP
ejpam-502	215	15	d	d	PROPN
ejpam-502	215	16	(	(	PUNCT
ejpam-502	215	17	a	a	NOUN
ejpam-502	215	18	)	)	PUNCT
ejpam-502	215	19	.	.	PUNCT
ejpam-502	216	1	b.	b.	PROPN
ejpam-502	216	2	d(a1)⊗	d(a1)⊗	PROPN
ejpam-502	216	3	y	y	PROPN
ejpam-502	216	4	is	be	AUX
ejpam-502	216	5	dense	dense	ADJ
ejpam-502	216	6	in	in	ADP
ejpam-502	216	7	x	x	SYM
ejpam-502	216	8	α⊗	α⊗	PROPN
ejpam-502	216	9	y	y	PROPN
ejpam-502	216	10	.	.	PUNCT
ejpam-502	217	1	c.	c.	PROPN
ejpam-502	217	2	d(a1)⊗	d(a1)⊗	PROPN
ejpam-502	217	3	y	y	PROPN
ejpam-502	217	4	is	be	AUX
ejpam-502	217	5	invariant	invariant	ADJ
ejpam-502	217	6	under	under	ADP
ejpam-502	217	7	t	t	PROPN
ejpam-502	217	8	(	(	PUNCT
ejpam-502	217	9	s	s	NOUN
ejpam-502	217	10	)	)	PUNCT
ejpam-502	217	11	α⊗	α⊗	NOUN
ejpam-502	217	12	i	i	PRON
ejpam-502	217	13	.	.	PUNCT
ejpam-502	218	1	d.	d.	PROPN
ejpam-502	218	2	d(a1)⊗	d(a1)⊗	PROPN
ejpam-502	218	3	y	y	PROPN
ejpam-502	218	4	is	be	AUX
ejpam-502	218	5	a	a	DET
ejpam-502	218	6	core	core	NOUN
ejpam-502	218	7	for	for	ADP
ejpam-502	218	8	a.	a.	PROPN
ejpam-502	218	9	lemma	lemma	PROPN
ejpam-502	218	10	6	6	NUM
ejpam-502	218	11	.	.	PUNCT
ejpam-502	219	1	suppose	suppose	VERB
ejpam-502	219	2	that	that	SCONJ
ejpam-502	219	3	(	(	PUNCT
ejpam-502	219	4	t	t	X
ejpam-502	219	5	(	(	PUNCT
ejpam-502	219	6	s))s≥0	s))s≥0	PROPN
ejpam-502	219	7	,	,	PUNCT
ejpam-502	219	8	(	(	PUNCT
ejpam-502	219	9	s	s	X
ejpam-502	219	10	(	(	PUNCT
ejpam-502	219	11	t))t≥0	t))t≥0	PROPN
ejpam-502	219	12	are	be	AUX
ejpam-502	219	13	one	one	NUM
ejpam-502	219	14	parameter	parameter	NOUN
ejpam-502	219	15	c0	c0	NOUN
ejpam-502	219	16	semigroups	semigroup	VERB
ejpam-502	219	17	on	on	ADP
ejpam-502	219	18	the	the	DET
ejpam-502	219	19	banach	banach	NOUN
ejpam-502	219	20	spaces	space	NOUN
ejpam-502	219	21	x	x	X
ejpam-502	219	22	,	,	PUNCT
ejpam-502	219	23	y	y	PROPN
ejpam-502	219	24	with	with	ADP
ejpam-502	219	25	infinitesimal	infinitesimal	ADJ
ejpam-502	219	26	generators	generator	NOUN
ejpam-502	219	27	a1	a1	PROPN
ejpam-502	219	28	,	,	PUNCT
ejpam-502	219	29	a2	a2	NOUN
ejpam-502	219	30	respectively	respectively	ADV
ejpam-502	219	31	.	.	PUNCT
ejpam-502	220	1	then	then	ADV
ejpam-502	220	2	a1	a1	PROPN
ejpam-502	220	3	⊗	⊗	PROPN
ejpam-502	221	1	i	i	PRON
ejpam-502	221	2	and	and	CCONJ
ejpam-502	221	3	i	i	PRON
ejpam-502	221	4	⊗	⊗	PROPN
ejpam-502	221	5	a2	a2	PROPN
ejpam-502	221	6	are	be	AUX
ejpam-502	221	7	the	the	DET
ejpam-502	221	8	infinitesimal	infinitesimal	ADJ
ejpam-502	221	9	generators	generator	NOUN
ejpam-502	221	10	of	of	ADP
ejpam-502	221	11	the	the	DET
ejpam-502	221	12	one	one	NUM
ejpam-502	221	13	parameter	parameter	NOUN
ejpam-502	221	14	c0	c0	PROPN
ejpam-502	221	15	semigroups	semigroup	VERB
ejpam-502	221	16	�	�	PROPN
ejpam-502	221	17	t	t	PROPN
ejpam-502	221	18	(	(	PUNCT
ejpam-502	221	19	s	s	NOUN
ejpam-502	221	20	)	)	PUNCT
ejpam-502	221	21	α⊗	α⊗	NOUN
ejpam-502	221	22	i	i	PRON
ejpam-502	221	23	�	�	PROPN
ejpam-502	221	24	s≥0	s≥0	PROPN
ejpam-502	221	25	,	,	PUNCT
ejpam-502	221	26	�	�	PROPN
ejpam-502	222	1	i	i	PRON
ejpam-502	222	2	α⊗	α⊗	VERB
ejpam-502	222	3	s	s	X
ejpam-502	222	4	(	(	PUNCT
ejpam-502	222	5	t	t	PROPN
ejpam-502	222	6	)	)	PUNCT
ejpam-502	222	7	�	�	PROPN
ejpam-502	222	8	t≥0	t≥0	NOUN
ejpam-502	222	9	respectively	respectively	ADV
ejpam-502	222	10	on	on	ADP
ejpam-502	222	11	x	x	SYM
ejpam-502	222	12	α⊗	α⊗	PROPN
ejpam-502	222	13	y	y	PROPN
ejpam-502	222	14	.	.	PUNCT
ejpam-502	223	1	proof	proof	NOUN
ejpam-502	223	2	.	.	PUNCT
ejpam-502	224	1	first	first	ADV
ejpam-502	224	2	let	let	VERB
ejpam-502	224	3	z	z	NOUN
ejpam-502	224	4	=	=	PUNCT
ejpam-502	225	1	x	x	PROPN
ejpam-502	225	2	⊗	⊗	PROPN
ejpam-502	225	3	y	y	PROPN
ejpam-502	225	4	,	,	PUNCT
ejpam-502	225	5	for	for	ADP
ejpam-502	225	6	some	some	DET
ejpam-502	225	7	x	x	SYM
ejpam-502	225	8	⊗	⊗	PROPN
ejpam-502	225	9	y	y	PROPN
ejpam-502	225	10	∈	∈	PROPN
ejpam-502	225	11	d(a1)⊗	d(a1)⊗	PROPN
ejpam-502	225	12	y	y	PROPN
ejpam-502	225	13	.	.	PUNCT
ejpam-502	226	1	if	if	SCONJ
ejpam-502	226	2	a	a	PRON
ejpam-502	226	3	is	be	AUX
ejpam-502	226	4	the	the	DET
ejpam-502	226	5	infinitesimal	infinitesimal	ADJ
ejpam-502	226	6	generator	generator	NOUN
ejpam-502	226	7	of	of	ADP
ejpam-502	226	8	�	�	PROPN
ejpam-502	226	9	t	t	PROPN
ejpam-502	226	10	(	(	PUNCT
ejpam-502	226	11	s	s	NOUN
ejpam-502	226	12	)	)	PUNCT
ejpam-502	226	13	α⊗	α⊗	NOUN
ejpam-502	226	14	i	i	PRON
ejpam-502	226	15	�	�	PROPN
ejpam-502	226	16	s≥0	s≥0	PROPN
ejpam-502	226	17	,	,	PUNCT
ejpam-502	226	18	then	then	ADV
ejpam-502	226	19	az	az	PROPN
ejpam-502	226	20	=	=	PROPN
ejpam-502	226	21	�	�	PROPN
ejpam-502	226	22	a1⊗	a1⊗	X
ejpam-502	227	1	i	i	PRON
ejpam-502	228	1	�	�	PROPN
ejpam-502	229	1	z.	z.	PROPN
ejpam-502	230	1	this	this	PRON
ejpam-502	230	2	means	mean	VERB
ejpam-502	230	3	that	that	SCONJ
ejpam-502	230	4	a|d(a1)⊗y	a|d(a1)⊗y	ADV
ejpam-502	230	5	=	=	SYM
ejpam-502	230	6	a1	a1	NOUN
ejpam-502	231	1	⊗	⊗	NOUN
ejpam-502	231	2	i	i	PRON
ejpam-502	231	3	.	.	PUNCT
ejpam-502	232	1	in	in	ADP
ejpam-502	232	2	other	other	ADJ
ejpam-502	232	3	words	word	NOUN
ejpam-502	232	4	,	,	PUNCT
ejpam-502	232	5	a	a	PRON
ejpam-502	232	6	is	be	AUX
ejpam-502	232	7	an	an	DET
ejpam-502	232	8	extension	extension	NOUN
ejpam-502	232	9	of	of	ADP
ejpam-502	232	10	a1	a1	NOUN
ejpam-502	232	11	⊗	⊗	PROPN
ejpam-502	232	12	i	i	PROPN
ejpam-502	232	13	from	from	ADP
ejpam-502	232	14	the	the	DET
ejpam-502	232	15	subspace	subspace	NOUN
ejpam-502	232	16	d(a1)⊗	d(a1)⊗	PROPN
ejpam-502	232	17	y	y	PROPN
ejpam-502	232	18	to	to	ADP
ejpam-502	232	19	the	the	DET
ejpam-502	232	20	domain	domain	NOUN
ejpam-502	232	21	d	d	X
ejpam-502	232	22	(	(	PUNCT
ejpam-502	232	23	a	a	NOUN
ejpam-502	232	24	)	)	PUNCT
ejpam-502	232	25	of	of	ADP
ejpam-502	232	26	a.	a.	NOUN
ejpam-502	232	27	being	be	AUX
ejpam-502	232	28	the	the	DET
ejpam-502	232	29	infinitesimal	infinitesimal	ADJ
ejpam-502	232	30	generator	generator	NOUN
ejpam-502	232	31	of	of	ADP
ejpam-502	232	32	a	a	DET
ejpam-502	232	33	one	one	NUM
ejpam-502	232	34	parameter	parameter	NOUN
ejpam-502	232	35	c0	c0	PROPN
ejpam-502	232	36	semigroup	semigroup	PROPN
ejpam-502	232	37	,	,	PUNCT
ejpam-502	232	38	a	a	PRON
ejpam-502	232	39	is	be	AUX
ejpam-502	232	40	closed	close	VERB
ejpam-502	232	41	[	[	PUNCT
ejpam-502	232	42	9	9	NUM
ejpam-502	232	43	]	]	PUNCT
ejpam-502	232	44	.	.	PUNCT
ejpam-502	233	1	thus	thus	ADV
ejpam-502	233	2	a	a	PRON
ejpam-502	233	3	is	be	AUX
ejpam-502	233	4	a	a	DET
ejpam-502	233	5	closed	closed	ADJ
ejpam-502	233	6	extension	extension	NOUN
ejpam-502	233	7	of	of	ADP
ejpam-502	233	8	a1	a1	NOUN
ejpam-502	233	9	⊗	⊗	PROPN
ejpam-502	233	10	i	i	PROPN
ejpam-502	233	11	.	.	PUNCT
ejpam-502	234	1	but	but	CCONJ
ejpam-502	234	2	a1	a1	NOUN
ejpam-502	234	3	⊗	⊗	PROPN
ejpam-502	234	4	i	i	PRON
ejpam-502	234	5	is	be	AUX
ejpam-502	234	6	closable	closable	ADJ
ejpam-502	234	7	[	[	X
ejpam-502	234	8	6	6	NUM
ejpam-502	234	9	]	]	PUNCT
ejpam-502	234	10	.	.	PUNCT
ejpam-502	235	1	since	since	SCONJ
ejpam-502	235	2	the	the	DET
ejpam-502	235	3	closure	closure	NOUN
ejpam-502	235	4	of	of	ADP
ejpam-502	235	5	an	an	DET
ejpam-502	235	6	operator	operator	NOUN
ejpam-502	235	7	is	be	AUX
ejpam-502	235	8	its	its	PRON
ejpam-502	235	9	smallest	small	ADJ
ejpam-502	235	10	closed	closed	ADJ
ejpam-502	235	11	extension	extension	NOUN
ejpam-502	235	12	,	,	PUNCT
ejpam-502	235	13	then	then	ADV
ejpam-502	235	14	a⊃	a⊃	PROPN
ejpam-502	235	15	a1	a1	NOUN
ejpam-502	235	16	⊗	⊗	PROPN
ejpam-502	235	17	i	i	PRON
ejpam-502	235	18	⊃	⊃	NOUN
ejpam-502	235	19	a1	a1	NOUN
ejpam-502	236	1	⊗	⊗	PROPN
ejpam-502	237	1	i	i	PROPN
ejpam-502	237	2	.	.	PUNCT
ejpam-502	238	1	on	on	ADP
ejpam-502	238	2	the	the	DET
ejpam-502	238	3	other	other	ADJ
ejpam-502	238	4	hand	hand	NOUN
ejpam-502	238	5	,	,	PUNCT
ejpam-502	238	6	by	by	ADP
ejpam-502	238	7	[	[	PUNCT
ejpam-502	238	8	6	6	NUM
ejpam-502	238	9	]	]	PUNCT
ejpam-502	238	10	,	,	PUNCT
ejpam-502	238	11	a1⊗	a1⊗	X
ejpam-502	238	12	i	i	PRON
ejpam-502	238	13	is	be	AUX
ejpam-502	238	14	the	the	DET
ejpam-502	238	15	maximal	maximal	ADJ
ejpam-502	238	16	extension	extension	NOUN
ejpam-502	238	17	of	of	ADP
ejpam-502	238	18	a1	a1	NOUN
ejpam-502	238	19	⊗	⊗	PROPN
ejpam-502	238	20	i	i	PRON
ejpam-502	238	21	.	.	PUNCT
ejpam-502	239	1	therefore	therefore	ADV
ejpam-502	239	2	a	a	DET
ejpam-502	239	3	⊂	⊂	PROPN
ejpam-502	239	4	a1	a1	NOUN
ejpam-502	239	5	⊗	⊗	PROPN
ejpam-502	239	6	i	i	PRON
ejpam-502	239	7	.	.	PUNCT
ejpam-502	240	1	hence	hence	ADV
ejpam-502	240	2	a	a	PRON
ejpam-502	240	3	=	=	NOUN
ejpam-502	240	4	a1	a1	NOUN
ejpam-502	241	1	⊗	⊗	NOUN
ejpam-502	241	2	i	i	PRON
ejpam-502	241	3	.	.	PUNCT
ejpam-502	242	1	similarly	similarly	ADV
ejpam-502	242	2	,	,	PUNCT
ejpam-502	242	3	one	one	PRON
ejpam-502	242	4	can	can	AUX
ejpam-502	242	5	show	show	VERB
ejpam-502	242	6	that	that	SCONJ
ejpam-502	242	7	i	i	PRON
ejpam-502	242	8	⊗	⊗	PROPN
ejpam-502	242	9	a2	a2	PROPN
ejpam-502	242	10	generates	generate	VERB
ejpam-502	242	11	�	�	PROPN
ejpam-502	242	12	i	i	PRON
ejpam-502	242	13	α⊗	α⊗	VERB
ejpam-502	242	14	s	s	X
ejpam-502	242	15	(	(	PUNCT
ejpam-502	242	16	t	t	PROPN
ejpam-502	242	17	)	)	PUNCT
ejpam-502	242	18	�	�	PROPN
ejpam-502	242	19	t≥0	t≥0	PROPN
ejpam-502	242	20	.	.	PUNCT
ejpam-502	243	1	theorem	theorem	NOUN
ejpam-502	243	2	2	2	NUM
ejpam-502	243	3	.	.	PUNCT
ejpam-502	244	1	the	the	DET
ejpam-502	244	2	infinitesimal	infinitesimal	ADJ
ejpam-502	244	3	generator	generator	NOUN
ejpam-502	244	4	of	of	ADP
ejpam-502	244	5	a	a	DET
ejpam-502	244	6	c0	c0	PROPN
ejpam-502	244	7	t.p.s	t.p.s	PROPN
ejpam-502	244	8	.	.	PUNCT
ejpam-502	245	1	(	(	PUNCT
ejpam-502	245	2	t	t	PROPN
ejpam-502	245	3	(	(	PUNCT
ejpam-502	245	4	s)⊗	s)⊗	PROPN
ejpam-502	245	5	s	s	PART
ejpam-502	245	6	(	(	PUNCT
ejpam-502	245	7	t))s	t))s	PROPN
ejpam-502	245	8	,	,	PUNCT
ejpam-502	245	9	t≥0	t≥0	NOUN
ejpam-502	245	10	is	be	AUX
ejpam-502	245	11	the	the	DET
ejpam-502	245	12	linear	linear	ADJ
ejpam-502	245	13	transformation	transformation	NOUN
ejpam-502	245	14	l	l	NOUN
ejpam-502	245	15	:	:	PUNCT
ejpam-502	246	1	r	r	NOUN
ejpam-502	246	2	+2	+2	NOUN
ejpam-502	246	3	→	→	SYM
ejpam-502	246	4	l	l	X
ejpam-502	246	5	�	�	PROPN
ejpam-502	246	6	x	x	SYM
ejpam-502	246	7	α⊗	α⊗	PROPN
ejpam-502	246	8	y	y	PROPN
ejpam-502	246	9	�	�	PROPN
ejpam-502	246	10	,	,	PUNCT
ejpam-502	246	11	(	(	PUNCT
ejpam-502	246	12	a	a	DET
ejpam-502	246	13	,	,	PUNCT
ejpam-502	246	14	b	b	NOUN
ejpam-502	246	15	)	)	PUNCT
ejpam-502	246	16	7−→	7−→	PROPN
ejpam-502	246	17	�	�	PROPN
ejpam-502	246	18	�	�	PROPN
ejpam-502	246	19	a1	a1	NOUN
ejpam-502	247	1	⊗	⊗	PROPN
ejpam-502	247	2	i	i	PRON
ejpam-502	247	3	,	,	PUNCT
ejpam-502	247	4	i	i	PROPN
ejpam-502	247	5	⊗	⊗	PROPN
ejpam-502	247	6	a2	a2	PROPN
ejpam-502	247	7	�	�	PROPN
ejpam-502	247	8	(	(	PUNCT
ejpam-502	247	9	a	a	PRON
ejpam-502	247	10	,	,	PUNCT
ejpam-502	247	11	b	b	NOUN
ejpam-502	247	12	)	)	PUNCT
ejpam-502	247	13	�	�	PROPN
ejpam-502	247	14	=	=	SYM
ejpam-502	247	15	�	�	PROPN
ejpam-502	248	1	aa1⊗	aa1⊗	NOUN
ejpam-502	249	1	i	i	PRON
ejpam-502	249	2	+	+	CCONJ
ejpam-502	249	3	bi	bi	PROPN
ejpam-502	249	4	⊗	⊗	PROPN
ejpam-502	249	5	a2	a2	PROPN
ejpam-502	249	6	�	�	PROPN
ejpam-502	249	7	,	,	PUNCT
ejpam-502	249	8	where	where	SCONJ
ejpam-502	249	9	a1	a1	NOUN
ejpam-502	249	10	,	,	PUNCT
ejpam-502	249	11	a2	a2	PROPN
ejpam-502	249	12	are	be	AUX
ejpam-502	249	13	the	the	DET
ejpam-502	249	14	infinitesimal	infinitesimal	ADJ
ejpam-502	249	15	generators	generator	NOUN
ejpam-502	249	16	of	of	ADP
ejpam-502	249	17	the	the	DET
ejpam-502	249	18	one	one	NUM
ejpam-502	249	19	parameter	parameter	NOUN
ejpam-502	249	20	c0	c0	PROPN
ejpam-502	249	21	semigroups	semigroup	VERB
ejpam-502	249	22	�	�	PROPN
ejpam-502	249	23	bt	bt	PROPN
ejpam-502	249	24	(	(	PUNCT
ejpam-502	249	25	s	s	NOUN
ejpam-502	249	26	)	)	PUNCT
ejpam-502	249	27	�	�	PROPN
ejpam-502	249	28	s≥0	s≥0	PROPN
ejpam-502	249	29	,	,	PUNCT
ejpam-502	249	30	�	�	NOUN
ejpam-502	249	31	bs	bs	PROPN
ejpam-502	249	32	(	(	PUNCT
ejpam-502	249	33	t	t	PROPN
ejpam-502	249	34	)	)	PUNCT
ejpam-502	249	35	�	�	PROPN
ejpam-502	249	36	t≥0	t≥0	PROPN
ejpam-502	249	37	respectively	respectively	ADV
ejpam-502	249	38	.	.	PUNCT
ejpam-502	250	1	r.	r.	PROPN
ejpam-502	250	2	khalil	khalil	PROPN
ejpam-502	250	3	,	,	PUNCT
ejpam-502	250	4	r.	r.	PROPN
ejpam-502	250	5	al	al	PROPN
ejpam-502	250	6	-	-	PUNCT
ejpam-502	250	7	mirbati	mirbati	PROPN
ejpam-502	250	8	,	,	PUNCT
ejpam-502	250	9	d.	d.	PROPN
ejpam-502	250	10	drissi	drissi	PROPN
ejpam-502	250	11	/	/	PUNCT
ejpam-502	250	12	eur	eur	PROPN
ejpam-502	250	13	.	.	PUNCT
ejpam-502	251	1	j.	j.	PROPN
ejpam-502	251	2	pure	pure	PROPN
ejpam-502	251	3	appl	appl	PROPN
ejpam-502	251	4	.	.	PROPN
ejpam-502	251	5	math	math	PROPN
ejpam-502	251	6	,	,	PUNCT
ejpam-502	251	7	3	3	NUM
ejpam-502	251	8	(	(	PUNCT
ejpam-502	251	9	2010	2010	NUM
ejpam-502	251	10	)	)	PUNCT
ejpam-502	251	11	,	,	PUNCT
ejpam-502	251	12	881	881	NUM
ejpam-502	251	13	-	-	SYM
ejpam-502	251	14	898	898	NUM
ejpam-502	251	15	889	889	NUM
ejpam-502	251	16	proof	proof	NOUN
ejpam-502	251	17	.	.	PUNCT
ejpam-502	252	1	first	first	ADV
ejpam-502	252	2	,	,	PUNCT
ejpam-502	252	3	we	we	PRON
ejpam-502	252	4	should	should	AUX
ejpam-502	252	5	notice	notice	VERB
ejpam-502	252	6	that	that	SCONJ
ejpam-502	252	7	l(a	l(a	PROPN
ejpam-502	252	8	,	,	PUNCT
ejpam-502	252	9	b	b	NOUN
ejpam-502	252	10	)	)	PUNCT
ejpam-502	252	11	�	�	PROPN
ejpam-502	252	12	x	x	PUNCT
ejpam-502	252	13	⊗	⊗	PROPN
ejpam-502	252	14	y	y	PROPN
ejpam-502	252	15	�	�	PROPN
ejpam-502	252	16	=	=	SYM
ejpam-502	252	17	�	�	PROPN
ejpam-502	252	18	aa1	aa1	PROPN
ejpam-502	253	1	⊗	⊗	PROPN
ejpam-502	254	1	i	i	PROPN
ejpam-502	254	2	,	,	PUNCT
ejpam-502	254	3	bi	bi	PROPN
ejpam-502	254	4	⊗	⊗	PROPN
ejpam-502	254	5	a2	a2	PROPN
ejpam-502	254	6	�	�	PROPN
ejpam-502	254	7	�	�	PROPN
ejpam-502	254	8	x	x	PROPN
ejpam-502	254	9	⊗	⊗	PROPN
ejpam-502	254	10	y	y	PROPN
ejpam-502	254	11	�	�	PROPN
ejpam-502	254	12	for	for	ADP
ejpam-502	254	13	all	all	DET
ejpam-502	254	14	x	x	SYM
ejpam-502	254	15	∈	∈	PROPN
ejpam-502	254	16	d	d	NOUN
ejpam-502	254	17	�	�	NOUN
ejpam-502	254	18	a1	a1	NOUN
ejpam-502	254	19	�	�	PROPN
ejpam-502	254	20	,	,	PUNCT
ejpam-502	254	21	y	y	PROPN
ejpam-502	254	22	∈d	∈d	PROPN
ejpam-502	254	23	�	�	PROPN
ejpam-502	254	24	a2	a2	PROPN
ejpam-502	254	25	�	�	PROPN
ejpam-502	254	26	.	.	PUNCT
ejpam-502	255	1	now	now	ADV
ejpam-502	255	2	,	,	PUNCT
ejpam-502	255	3	let	let	VERB
ejpam-502	255	4	(	(	PUNCT
ejpam-502	255	5	t	t	PROPN
ejpam-502	255	6	(	(	PUNCT
ejpam-502	255	7	s)⊗	s)⊗	PROPN
ejpam-502	255	8	s	s	PART
ejpam-502	255	9	(	(	PUNCT
ejpam-502	255	10	t))s	t))s	PROPN
ejpam-502	255	11	,	,	PUNCT
ejpam-502	255	12	t≥0	t≥0	NOUN
ejpam-502	255	13	be	be	AUX
ejpam-502	255	14	a	a	DET
ejpam-502	255	15	c0	c0	PROPN
ejpam-502	255	16	t.p.s	t.p.s	PROPN
ejpam-502	255	17	.	.	PROPN
ejpam-502	255	18	,	,	PUNCT
ejpam-502	255	19	a	a	DET
ejpam-502	255	20	its	its	PRON
ejpam-502	255	21	infinitesimal	infinitesimal	ADJ
ejpam-502	255	22	generator	generator	NOUN
ejpam-502	255	23	and	and	CCONJ
ejpam-502	255	24	let	let	VERB
ejpam-502	255	25	z	z	NOUN
ejpam-502	255	26	∈	∈	PROPN
ejpam-502	255	27	d	d	X
ejpam-502	255	28	(	(	PUNCT
ejpam-502	255	29	a	a	NOUN
ejpam-502	255	30	)	)	PUNCT
ejpam-502	255	31	.	.	PUNCT
ejpam-502	256	1	that	that	PRON
ejpam-502	256	2	is	be	AUX
ejpam-502	256	3	,	,	PUNCT
ejpam-502	256	4	z	z	PROPN
ejpam-502	256	5	∈	∈	PROPN
ejpam-502	256	6	x	x	X
ejpam-502	256	7	α⊗	α⊗	NOUN
ejpam-502	256	8	y	y	PROPN
ejpam-502	256	9	such	such	ADJ
ejpam-502	256	10	that	that	DET
ejpam-502	256	11	�	�	PROPN
ejpam-502	256	12	t	t	PROPN
ejpam-502	256	13	(	(	PUNCT
ejpam-502	256	14	s	s	NOUN
ejpam-502	256	15	)	)	PUNCT
ejpam-502	256	16	α⊗	α⊗	NOUN
ejpam-502	256	17	s	s	X
ejpam-502	256	18	(	(	PUNCT
ejpam-502	256	19	t	t	PROPN
ejpam-502	256	20	)	)	PUNCT
ejpam-502	256	21	�	�	PROPN
ejpam-502	256	22	z	z	PROPN
ejpam-502	256	23	is	be	AUX
ejpam-502	256	24	differentiable	differentiable	ADJ
ejpam-502	256	25	at	at	ADP
ejpam-502	256	26	(	(	PUNCT
ejpam-502	256	27	0,0	0,0	NOUN
ejpam-502	256	28	)	)	PUNCT
ejpam-502	256	29	.	.	PUNCT
ejpam-502	257	1	thus	thus	ADV
ejpam-502	257	2	d	d	X
ejpam-502	257	3	�	�	PROPN
ejpam-502	257	4	�	�	PROPN
ejpam-502	257	5	t	t	PROPN
ejpam-502	257	6	(	(	PUNCT
ejpam-502	257	7	s	s	NOUN
ejpam-502	257	8	)	)	PUNCT
ejpam-502	257	9	α⊗	α⊗	NOUN
ejpam-502	257	10	s	s	X
ejpam-502	257	11	(	(	PUNCT
ejpam-502	257	12	t	t	PROPN
ejpam-502	257	13	)	)	PUNCT
ejpam-502	257	14	�	�	PROPN
ejpam-502	257	15	z	z	PROPN
ejpam-502	257	16	�	�	PROPN
ejpam-502	257	17	|(s	|(s	PROPN
ejpam-502	257	18	,	,	PUNCT
ejpam-502	257	19	t)=(0,0	t)=(0,0	NOUN
ejpam-502	257	20	)	)	PUNCT
ejpam-502	257	21	exists	exist	VERB
ejpam-502	257	22	.	.	PUNCT
ejpam-502	258	1	in	in	ADP
ejpam-502	258	2	other	other	ADJ
ejpam-502	258	3	words	word	NOUN
ejpam-502	258	4	,	,	PUNCT
ejpam-502	258	5	there	there	PRON
ejpam-502	258	6	exist	exist	VERB
ejpam-502	258	7	z1	z1	VERB
ejpam-502	258	8	,	,	PUNCT
ejpam-502	258	9	z2	z2	PROPN
ejpam-502	258	10	in	in	ADP
ejpam-502	258	11	x	x	PROPN
ejpam-502	258	12	α⊗	α⊗	PROPN
ejpam-502	258	13	y	y	PROPN
ejpam-502	258	14	such	such	ADJ
ejpam-502	258	15	that	that	SCONJ
ejpam-502	258	16	lim	lim	PROPN
ejpam-502	258	17	(	(	PUNCT
ejpam-502	258	18	s	s	PROPN
ejpam-502	258	19	,	,	PUNCT
ejpam-502	258	20	t)→(0+,0	t)→(0+,0	NOUN
ejpam-502	258	21	+	+	NOUN
ejpam-502	258	22	)	)	PUNCT
ejpam-502	258	23	‖{(t(s)⊗s(t))−t(0)⊗s(0)}z−sz1−tz2‖	‖{(t(s)⊗s(t))−t(0)⊗s(0)}z−sz1−tz2‖	NOUN
ejpam-502	258	24	‖(s	‖(s	PROPN
ejpam-502	258	25	,	,	PUNCT
ejpam-502	258	26	t)‖	t)‖	NOUN
ejpam-502	258	27	=	=	SYM
ejpam-502	258	28	0	0	PROPN
ejpam-502	258	29	.	.	PUNCT
ejpam-502	259	1	in	in	ADP
ejpam-502	259	2	particular	particular	ADJ
ejpam-502	259	3	,	,	PUNCT
ejpam-502	259	4	choose	choose	VERB
ejpam-502	259	5	(	(	PUNCT
ejpam-502	259	6	s	s	PROPN
ejpam-502	259	7	,	,	PUNCT
ejpam-502	259	8	t	t	PROPN
ejpam-502	259	9	)	)	PUNCT
ejpam-502	259	10	to	to	PART
ejpam-502	259	11	be	be	AUX
ejpam-502	259	12	(	(	PUNCT
ejpam-502	259	13	s	s	X
ejpam-502	259	14	,	,	PUNCT
ejpam-502	259	15	0	0	NUM
ejpam-502	259	16	)	)	PUNCT
ejpam-502	260	1	where	where	SCONJ
ejpam-502	260	2	s→	s→	X
ejpam-502	260	3	0	0	NUM
ejpam-502	260	4	+	+	NOUN
ejpam-502	260	5	.	.	PUNCT
ejpam-502	261	1	then	then	ADV
ejpam-502	261	2	lim	lim	PROPN
ejpam-502	261	3	s→0	s→0	PROPN
ejpam-502	261	4	+	+	NUM
ejpam-502	261	5	‖{(t(s)⊗s(0))−t(0)⊗s(0)}z−sz1‖	‖{(t(s)⊗s(0))−t(0)⊗s(0)}z−sz1‖	NUM
ejpam-502	261	6	s	s	NOUN
ejpam-502	261	7	=	=	NOUN
ejpam-502	261	8	0	0	NUM
ejpam-502	261	9	.	.	PUNCT
ejpam-502	262	1	therefore	therefore	ADV
ejpam-502	262	2	,	,	PUNCT
ejpam-502	262	3	lim	lim	PROPN
ejpam-502	262	4	s→0	s→0	PROPN
ejpam-502	262	5	+	+	CCONJ
ejpam-502	262	6	¦	¦	PROPN
ejpam-502	262	7	�	�	PROPN
ejpam-502	262	8	bt	bt	PROPN
ejpam-502	262	9	(	(	PUNCT
ejpam-502	262	10	s)⊗	s)⊗	PROPN
ejpam-502	262	11	i	i	PROPN
ejpam-502	262	12	�	�	PROPN
ejpam-502	262	13	−	−	PROPN
ejpam-502	263	1	i	i	PRON
ejpam-502	263	2	⊗	⊗	VERB
ejpam-502	264	1	i	i	PRON
ejpam-502	264	2	©	©	PROPN
ejpam-502	264	3	z	z	NOUN
ejpam-502	265	1	−	−	PROPN
ejpam-502	265	2	sz1	sz1	NOUN
ejpam-502	265	3	s	s	PART
ejpam-502	265	4	=	=	PROPN
ejpam-502	265	5	lim	lim	PROPN
ejpam-502	265	6	s→0	s→0	PROPN
ejpam-502	265	7	+	+	CCONJ
ejpam-502	265	8	¦	¦	PROPN
ejpam-502	265	9	�	�	PROPN
ejpam-502	265	10	bt	bt	PROPN
ejpam-502	265	11	(	(	PUNCT
ejpam-502	265	12	s)⊗	s)⊗	PROPN
ejpam-502	265	13	i	i	PROPN
ejpam-502	265	14	�	�	PROPN
ejpam-502	265	15	−	−	PROPN
ejpam-502	266	1	i	i	PRON
ejpam-502	266	2	⊗	⊗	VERB
ejpam-502	267	1	i	i	PRON
ejpam-502	268	1	©	©	PROPN
ejpam-502	268	2	s	s	PART
ejpam-502	268	3	z	z	NOUN
ejpam-502	268	4	−	−	NOUN
ejpam-502	268	5	z1	z1	NOUN
ejpam-502	268	6	=	=	NOUN
ejpam-502	268	7	0	0	NUM
ejpam-502	268	8	.	.	PUNCT
ejpam-502	268	9	from	from	ADP
ejpam-502	268	10	lemma	lemma	PROPN
ejpam-502	268	11	6	6	NUM
ejpam-502	268	12	,	,	PUNCT
ejpam-502	268	13	z1	z1	PROPN
ejpam-502	268	14	=	=	SYM
ejpam-502	268	15	�	�	PROPN
ejpam-502	268	16	a1	a1	NOUN
ejpam-502	268	17	⊗	⊗	PROPN
ejpam-502	269	1	i	i	PROPN
ejpam-502	269	2	�	�	PROPN
ejpam-502	270	1	z	z	NOUN
ejpam-502	270	2	,	,	PUNCT
ejpam-502	270	3	where	where	SCONJ
ejpam-502	270	4	a1	a1	NOUN
ejpam-502	270	5	generates	generate	VERB
ejpam-502	270	6	the	the	DET
ejpam-502	270	7	c0	c0	PROPN
ejpam-502	270	8	semigroup	semigroup	PROPN
ejpam-502	270	9	�	�	PROPN
ejpam-502	270	10	bt	bt	PROPN
ejpam-502	270	11	(	(	PUNCT
ejpam-502	270	12	s	s	NOUN
ejpam-502	270	13	)	)	PUNCT
ejpam-502	270	14	�	�	PROPN
ejpam-502	270	15	s≥0	s≥0	PROPN
ejpam-502	270	16	.	.	PUNCT
ejpam-502	271	1	similarly	similarly	ADV
ejpam-502	271	2	,	,	PUNCT
ejpam-502	271	3	one	one	PRON
ejpam-502	271	4	can	can	AUX
ejpam-502	271	5	show	show	VERB
ejpam-502	271	6	that	that	SCONJ
ejpam-502	271	7	z2	z2	PROPN
ejpam-502	271	8	=	=	SYM
ejpam-502	271	9	�	�	PROPN
ejpam-502	271	10	i	i	PROPN
ejpam-502	271	11	⊗	⊗	PROPN
ejpam-502	271	12	a2	a2	PROPN
ejpam-502	271	13	�	�	PROPN
ejpam-502	271	14	z.	z.	PROPN
ejpam-502	271	15	since	since	SCONJ
ejpam-502	271	16	z	z	PROPN
ejpam-502	271	17	was	be	AUX
ejpam-502	271	18	arbitrarily	arbitrarily	ADV
ejpam-502	271	19	chosen	choose	VERB
ejpam-502	271	20	in	in	ADP
ejpam-502	271	21	d(a	d(a	PROPN
ejpam-502	271	22	)	)	PUNCT
ejpam-502	271	23	,	,	PUNCT
ejpam-502	271	24	this	this	PRON
ejpam-502	271	25	shows	show	VERB
ejpam-502	271	26	that	that	SCONJ
ejpam-502	271	27	d(a	d(a	PROPN
ejpam-502	271	28	)	)	PUNCT
ejpam-502	271	29	is	be	AUX
ejpam-502	271	30	a	a	DET
ejpam-502	271	31	subspace	subspace	NOUN
ejpam-502	271	32	of	of	ADP
ejpam-502	271	33	x	x	SYM
ejpam-502	271	34	α⊗	α⊗	PROPN
ejpam-502	271	35	y	y	PROPN
ejpam-502	271	36	.	.	PUNCT
ejpam-502	272	1	further	far	ADV
ejpam-502	272	2	,	,	PUNCT
ejpam-502	272	3	d(a	d(a	PROPN
ejpam-502	272	4	)	)	PUNCT
ejpam-502	272	5	⊆	⊆	NUM
ejpam-502	272	6	d	d	PROPN
ejpam-502	272	7	�	�	PROPN
ejpam-502	272	8	a1⊗	a1⊗	X
ejpam-502	272	9	i	i	PRON
ejpam-502	272	10	�	�	PROPN
ejpam-502	272	11	∩	∩	PROPN
ejpam-502	272	12	d	d	X
ejpam-502	272	13	�	�	PROPN
ejpam-502	272	14	i	i	PROPN
ejpam-502	272	15	⊗	⊗	PROPN
ejpam-502	272	16	a2	a2	PROPN
ejpam-502	272	17	�	�	PROPN
ejpam-502	272	18	.	.	PUNCT
ejpam-502	273	1	now	now	ADV
ejpam-502	273	2	let	let	VERB
ejpam-502	273	3	z	z	NOUN
ejpam-502	273	4	∈d	∈d	NOUN
ejpam-502	273	5	�	�	PROPN
ejpam-502	273	6	a1⊗	a1⊗	X
ejpam-502	274	1	i	i	PRON
ejpam-502	274	2	�	�	PROPN
ejpam-502	274	3	∩d	∩d	NOUN
ejpam-502	274	4	�	�	PROPN
ejpam-502	274	5	i	i	PRON
ejpam-502	274	6	⊗	⊗	PROPN
ejpam-502	274	7	a2	a2	PROPN
ejpam-502	274	8	�	�	PROPN
ejpam-502	274	9	and	and	CCONJ
ejpam-502	274	10	s	s	PROPN
ejpam-502	274	11	,	,	PUNCT
ejpam-502	274	12	t	t	X
ejpam-502	274	13	>	>	X
ejpam-502	274	14	0	0	X
ejpam-502	274	15	.	.	PUNCT
ejpam-502	275	1	set	set	VERB
ejpam-502	275	2	j(s	j(s	PROPN
ejpam-502	275	3	,	,	PUNCT
ejpam-502	275	4	t	t	PROPN
ejpam-502	275	5	)	)	PUNCT
ejpam-502	275	6	=	=	SYM
ejpam-502	276	1	(	(	PUNCT
ejpam-502	276	2	t	t	PROPN
ejpam-502	276	3	(	(	PUNCT
ejpam-502	276	4	s)⊗	s)⊗	PROPN
ejpam-502	276	5	s	s	PART
ejpam-502	276	6	(	(	PUNCT
ejpam-502	276	7	t))−	t))−	NOUN
ejpam-502	276	8	(	(	PUNCT
ejpam-502	276	9	t	t	PROPN
ejpam-502	276	10	(	(	PUNCT
ejpam-502	276	11	0)⊗	0)⊗	NUM
ejpam-502	276	12	s	s	X
ejpam-502	276	13	(	(	PUNCT
ejpam-502	276	14	0))−	0))−	NUM
ejpam-502	276	15	�	�	PROPN
ejpam-502	276	16	a1	a1	NOUN
ejpam-502	277	1	⊗	⊗	PROPN
ejpam-502	278	1	i	i	PRON
ejpam-502	278	2	,	,	PUNCT
ejpam-502	278	3	i	i	PROPN
ejpam-502	278	4	⊗	⊗	PROPN
ejpam-502	278	5	a2	a2	PROPN
ejpam-502	278	6	�	�	PROPN
ejpam-502	278	7	�	�	PROPN
ejpam-502	278	8	s	s	PART
ejpam-502	278	9	t	t	PROPN
ejpam-502	278	10	�	�	PROPN
ejpam-502	278	11	.	.	PUNCT
ejpam-502	279	1	then	then	ADV
ejpam-502	279	2	‖j	‖j	ADV
ejpam-502	279	3	(	(	PUNCT
ejpam-502	279	4	s	s	PROPN
ejpam-502	279	5	,	,	PUNCT
ejpam-502	279	6	t	t	PROPN
ejpam-502	279	7	)	)	PUNCT
ejpam-502	279	8	z‖	z‖	NOUN
ejpam-502	279	9	=	=	SYM
ejpam-502	279	10	�	�	PROPN
ejpam-502	279	11	t	t	PROPN
ejpam-502	279	12	(	(	PUNCT
ejpam-502	279	13	s	s	NOUN
ejpam-502	279	14	)	)	PUNCT
ejpam-502	279	15	α⊗	α⊗	NOUN
ejpam-502	279	16	s	s	X
ejpam-502	279	17	(	(	PUNCT
ejpam-502	279	18	t	t	PROPN
ejpam-502	279	19	)	)	PUNCT
ejpam-502	279	20	�	�	PROPN
ejpam-502	279	21	(	(	PUNCT
ejpam-502	279	22	z)−	z)−	PROPN
ejpam-502	279	23	(	(	PUNCT
ejpam-502	279	24	z	z	NOUN
ejpam-502	279	25	)	)	PUNCT
ejpam-502	279	26	−	−	PROPN
ejpam-502	279	27	�	�	PROPN
ejpam-502	279	28	sa1	sa1	NOUN
ejpam-502	280	1	⊗	⊗	PROPN
ejpam-502	281	1	i	i	PROPN
ejpam-502	281	2	�	�	PROPN
ejpam-502	281	3	(	(	PUNCT
ejpam-502	281	4	z)−	z)−	PROPN
ejpam-502	281	5	�	�	PROPN
ejpam-502	281	6	t	t	PROPN
ejpam-502	281	7	i	i	PROPN
ejpam-502	281	8	⊗	⊗	PROPN
ejpam-502	281	9	a2	a2	PROPN
ejpam-502	281	10	�	�	PROPN
ejpam-502	281	11	(	(	PUNCT
ejpam-502	281	12	z	z	NOUN
ejpam-502	281	13	)	)	PUNCT
ejpam-502	281	14	≤	≤	NUM
ejpam-502	281	15	�	�	PROPN
ejpam-502	281	16	bt	bt	PROPN
ejpam-502	281	17	(	(	PUNCT
ejpam-502	281	18	s	s	NOUN
ejpam-502	281	19	)	)	PUNCT
ejpam-502	281	20	α⊗	α⊗	NOUN
ejpam-502	282	1	i	i	PROPN
ejpam-502	282	2	�	�	PROPN
ejpam-502	282	3	�	�	PROPN
ejpam-502	282	4	i	i	PRON
ejpam-502	282	5	α⊗	α⊗	VERB
ejpam-502	282	6	bs	bs	INTJ
ejpam-502	282	7	(	(	PUNCT
ejpam-502	282	8	t	t	PROPN
ejpam-502	282	9	)	)	PUNCT
ejpam-502	282	10	�	�	PROPN
ejpam-502	282	11	(	(	PUNCT
ejpam-502	282	12	z	z	NOUN
ejpam-502	282	13	)	)	PUNCT
ejpam-502	282	14	−	−	PROPN
ejpam-502	282	15	�	�	PROPN
ejpam-502	282	16	bt	bt	PROPN
ejpam-502	282	17	(	(	PUNCT
ejpam-502	282	18	s	s	NOUN
ejpam-502	282	19	)	)	PUNCT
ejpam-502	282	20	α⊗	α⊗	NOUN
ejpam-502	282	21	i	i	PROPN
ejpam-502	282	22	�	�	PROPN
ejpam-502	282	23	(	(	PUNCT
ejpam-502	282	24	z)−	z)−	PROPN
ejpam-502	282	25	�	�	PROPN
ejpam-502	282	26	t	t	PROPN
ejpam-502	282	27	i	i	PROPN
ejpam-502	282	28	⊗	⊗	PROPN
ejpam-502	282	29	a2	a2	PROPN
ejpam-502	282	30	�	�	PROPN
ejpam-502	282	31	(	(	PUNCT
ejpam-502	282	32	z	z	NOUN
ejpam-502	282	33	)	)	PUNCT
ejpam-502	283	1	+	+	CCONJ
ejpam-502	283	2	�	�	PROPN
ejpam-502	283	3	bt	bt	PROPN
ejpam-502	283	4	(	(	PUNCT
ejpam-502	283	5	s	s	NOUN
ejpam-502	283	6	)	)	PUNCT
ejpam-502	283	7	α⊗	α⊗	NOUN
ejpam-502	283	8	i	i	PROPN
ejpam-502	283	9	�	�	PROPN
ejpam-502	283	10	(	(	PUNCT
ejpam-502	283	11	z)−	z)−	PROPN
ejpam-502	283	12	(	(	PUNCT
ejpam-502	283	13	z)−	z)−	PROPN
ejpam-502	283	14	�	�	PROPN
ejpam-502	283	15	sa1	sa1	NOUN
ejpam-502	283	16	⊗	⊗	PROPN
ejpam-502	283	17	i	i	PROPN
ejpam-502	283	18	�	�	PROPN
ejpam-502	283	19	(	(	PUNCT
ejpam-502	283	20	z	z	NOUN
ejpam-502	283	21	)	)	PUNCT
ejpam-502	283	22	≤	≤	NOUN
ejpam-502	283	23	t	t	PROPN
ejpam-502	283	24	�	�	PROPN
ejpam-502	283	25	bt	bt	PROPN
ejpam-502	283	26	(	(	PUNCT
ejpam-502	283	27	s	s	NOUN
ejpam-502	283	28	)	)	PUNCT
ejpam-502	283	29	α⊗	α⊗	NOUN
ejpam-502	284	1	i	i	PROPN
ejpam-502	284	2	�	�	PROPN
ejpam-502	284	3	�	�	PROPN
ejpam-502	284	4	i	i	PRON
ejpam-502	284	5	α⊗bs(t	α⊗bs(t	PROPN
ejpam-502	284	6	)	)	PUNCT
ejpam-502	284	7	�	�	PROPN
ejpam-502	284	8	(	(	PUNCT
ejpam-502	284	9	z)−	z)−	PROPN
ejpam-502	284	10	�	�	PROPN
ejpam-502	285	1	i	i	PRON
ejpam-502	285	2	α⊗i	α⊗i	PROPN
ejpam-502	285	3	�	�	PROPN
ejpam-502	285	4	(	(	PUNCT
ejpam-502	285	5	z	z	NOUN
ejpam-502	285	6	)	)	PUNCT
ejpam-502	285	7	t	t	NOUN
ejpam-502	285	8	!	!	PUNCT
ejpam-502	286	1	−	−	PROPN
ejpam-502	287	1	�	�	PROPN
ejpam-502	287	2	i	i	PRON
ejpam-502	287	3	⊗	⊗	PROPN
ejpam-502	287	4	a2	a2	PROPN
ejpam-502	287	5	�	�	PROPN
ejpam-502	287	6	(	(	PUNCT
ejpam-502	287	7	z	z	NOUN
ejpam-502	287	8	)	)	PUNCT
ejpam-502	288	1	+	+	NOUN
ejpam-502	288	2	s	s	NOUN
ejpam-502	288	3			NOUN
ejpam-502	288	4			ADJ
ejpam-502	288	5	bt	bt	PROPN
ejpam-502	288	6	(	(	PUNCT
ejpam-502	288	7	s	s	NOUN
ejpam-502	288	8	)	)	PUNCT
ejpam-502	288	9	α⊗	α⊗	NOUN
ejpam-502	289	1	i	i	PRON
ejpam-502	289	2	−	−	PROPN
ejpam-502	290	1	i	i	PRON
ejpam-502	290	2	α⊗	α⊗	VERB
ejpam-502	290	3	i	i	PRON
ejpam-502	290	4	s	s	PROPN
ejpam-502	291	1			PROPN
ejpam-502	291	2			PROPN
ejpam-502	291	3	(	(	PUNCT
ejpam-502	291	4	z)−	z)−	PROPN
ejpam-502	291	5	�	�	PROPN
ejpam-502	291	6	a1	a1	NOUN
ejpam-502	292	1	⊗	⊗	PROPN
ejpam-502	293	1	i	i	PROPN
ejpam-502	293	2	�	�	PROPN
ejpam-502	293	3	(	(	PUNCT
ejpam-502	293	4	z	z	NOUN
ejpam-502	293	5	)	)	PUNCT
ejpam-502	293	6	.	.	PUNCT
ejpam-502	294	1	divide	divide	VERB
ejpam-502	294	2	both	both	DET
ejpam-502	294	3	sides	side	NOUN
ejpam-502	294	4	by	by	ADP
ejpam-502	294	5	‖(s	‖(s	PROPN
ejpam-502	294	6	,	,	PUNCT
ejpam-502	294	7	t)‖	t)‖	NOUN
ejpam-502	294	8	=	=	SYM
ejpam-502	294	9	p	p	PROPN
ejpam-502	294	10	s2	s2	NOUN
ejpam-502	294	11	+	+	CCONJ
ejpam-502	294	12	t2	t2	NOUN
ejpam-502	294	13	to	to	PART
ejpam-502	294	14	get	get	VERB
ejpam-502	294	15	‖j	‖j	PRON
ejpam-502	295	1	(	(	PUNCT
ejpam-502	295	2	s	s	PROPN
ejpam-502	295	3	,	,	PUNCT
ejpam-502	295	4	t	t	PROPN
ejpam-502	295	5	)	)	PUNCT
ejpam-502	295	6	z‖	z‖	NOUN
ejpam-502	295	7	‖(s	‖(s	PROPN
ejpam-502	295	8	,	,	PUNCT
ejpam-502	295	9	t)‖	t)‖	NOUN
ejpam-502	295	10	≤	≤	PUNCT
ejpam-502	295	11	ψs	ψs	NOUN
ejpam-502	295	12	,	,	PUNCT
ejpam-502	295	13	t	t	PROPN
ejpam-502	295	14	�	�	PROPN
ejpam-502	295	15	bt	bt	PROPN
ejpam-502	295	16	(	(	PUNCT
ejpam-502	295	17	s	s	NOUN
ejpam-502	295	18	)	)	PUNCT
ejpam-502	295	19	α⊗	α⊗	NOUN
ejpam-502	296	1	i	i	PROPN
ejpam-502	296	2	�	�	PROPN
ejpam-502	296	3	�	�	PROPN
ejpam-502	296	4	�	�	PROPN
ejpam-502	296	5	1	1	NUM
ejpam-502	296	6	t	t	NOUN
ejpam-502	296	7	�	�	PROPN
ejpam-502	296	8	i	i	PRON
ejpam-502	296	9	α⊗	α⊗	VERB
ejpam-502	296	10	bs	bs	INTJ
ejpam-502	296	11	(	(	PUNCT
ejpam-502	296	12	t)−	t)−	PROPN
ejpam-502	296	13	�	�	PROPN
ejpam-502	297	1	i	i	PRON
ejpam-502	297	2	α⊗	α⊗	VERB
ejpam-502	297	3	i	i	PRON
ejpam-502	297	4	�	�	PROPN
ejpam-502	297	5	�	�	PROPN
ejpam-502	297	6	−	−	PROPN
ejpam-502	297	7	�	�	PROPN
ejpam-502	297	8	i	i	PROPN
ejpam-502	297	9	⊗	⊗	PROPN
ejpam-502	297	10	a2	a2	PROPN
ejpam-502	297	11	�	�	PROPN
ejpam-502	297	12	�	�	PROPN
ejpam-502	297	13	(	(	PUNCT
ejpam-502	297	14	z	z	PROPN
ejpam-502	297	15	)	)	PUNCT
ejpam-502	297	16	�	�	PROPN
ejpam-502	297	17	r.	r.	PROPN
ejpam-502	297	18	khalil	khalil	PROPN
ejpam-502	297	19	,	,	PUNCT
ejpam-502	297	20	r.	r.	PROPN
ejpam-502	297	21	al	al	PROPN
ejpam-502	297	22	-	-	PUNCT
ejpam-502	297	23	mirbati	mirbati	PROPN
ejpam-502	297	24	,	,	PUNCT
ejpam-502	297	25	d.	d.	PROPN
ejpam-502	297	26	drissi	drissi	PROPN
ejpam-502	297	27	/	/	PUNCT
ejpam-502	297	28	eur	eur	PROPN
ejpam-502	297	29	.	.	PUNCT
ejpam-502	298	1	j.	j.	PROPN
ejpam-502	298	2	pure	pure	PROPN
ejpam-502	298	3	appl	appl	PROPN
ejpam-502	298	4	.	.	PROPN
ejpam-502	298	5	math	math	PROPN
ejpam-502	298	6	,	,	PUNCT
ejpam-502	298	7	3	3	NUM
ejpam-502	298	8	(	(	PUNCT
ejpam-502	298	9	2010	2010	NUM
ejpam-502	298	10	)	)	PUNCT
ejpam-502	298	11	,	,	PUNCT
ejpam-502	298	12	881	881	NUM
ejpam-502	298	13	-	-	SYM
ejpam-502	298	14	898	898	NUM
ejpam-502	298	15	890	890	NUM
ejpam-502	298	16	+	+	ADV
ejpam-502	298	17	φs	φs	PROPN
ejpam-502	298	18	,	,	PUNCT
ejpam-502	298	19	t	t	PROPN
ejpam-502	298	20	�	�	PROPN
ejpam-502	299	1	1	1	NUM
ejpam-502	299	2	s	s	PART
ejpam-502	299	3	�	�	PROPN
ejpam-502	299	4	bt	bt	PROPN
ejpam-502	299	5	(	(	PUNCT
ejpam-502	299	6	s	s	NOUN
ejpam-502	299	7	)	)	PUNCT
ejpam-502	299	8	α⊗	α⊗	NOUN
ejpam-502	300	1	i	i	PRON
ejpam-502	300	2	−	−	PROPN
ejpam-502	301	1	i	i	PRON
ejpam-502	301	2	α⊗	α⊗	VERB
ejpam-502	301	3	i	i	PRON
ejpam-502	301	4	�	�	PROPN
ejpam-502	302	1	−	−	PROPN
ejpam-502	302	2	�	�	PROPN
ejpam-502	302	3	a1	a1	NOUN
ejpam-502	302	4	⊗	⊗	PROPN
ejpam-502	302	5	i	i	PROPN
ejpam-502	302	6	�	�	PROPN
ejpam-502	302	7	�	�	PROPN
ejpam-502	302	8	(	(	PUNCT
ejpam-502	302	9	z	z	NOUN
ejpam-502	302	10	)	)	PUNCT
ejpam-502	302	11	,	,	PUNCT
ejpam-502	302	12	where	where	SCONJ
ejpam-502	302	13	ψs	ψs	NOUN
ejpam-502	302	14	,	,	PUNCT
ejpam-502	302	15	t	t	NOUN
ejpam-502	302	16	=	=	PUNCT
ejpam-502	302	17	tp	tp	PART
ejpam-502	302	18	s2+t2	s2+t2	PROPN
ejpam-502	302	19	,	,	PUNCT
ejpam-502	302	20	φs	φs	PROPN
ejpam-502	302	21	,	,	PUNCT
ejpam-502	302	22	t	t	NOUN
ejpam-502	302	23	=	=	PUNCT
ejpam-502	302	24	sp	sp	ADP
ejpam-502	302	25	s2+t2	s2+t2	PROPN
ejpam-502	302	26	.	.	PUNCT
ejpam-502	303	1	but	but	CCONJ
ejpam-502	303	2	ψs	ψs	NOUN
ejpam-502	303	3	,	,	PUNCT
ejpam-502	303	4	t	t	PROPN
ejpam-502	303	5	≤	≤	NOUN
ejpam-502	303	6	1	1	NUM
ejpam-502	303	7	,	,	PUNCT
ejpam-502	303	8	φs	φs	PROPN
ejpam-502	303	9	,	,	PUNCT
ejpam-502	303	10	t	t	PROPN
ejpam-502	303	11	≤	≤	NUM
ejpam-502	303	12	1	1	NUM
ejpam-502	303	13	for	for	ADP
ejpam-502	303	14	all	all	DET
ejpam-502	303	15	s	s	PROPN
ejpam-502	303	16	,	,	PUNCT
ejpam-502	303	17	t	t	X
ejpam-502	303	18	>	>	X
ejpam-502	303	19	0	0	PROPN
ejpam-502	303	20	.	.	PUNCT
ejpam-502	304	1	therefore	therefore	ADV
ejpam-502	304	2	,	,	PUNCT
ejpam-502	304	3	‖j	‖j	PROPN
ejpam-502	304	4	(	(	PUNCT
ejpam-502	304	5	s	s	PROPN
ejpam-502	304	6	,	,	PUNCT
ejpam-502	304	7	t	t	PROPN
ejpam-502	304	8	)	)	PUNCT
ejpam-502	304	9	z‖	z‖	NOUN
ejpam-502	304	10	‖(s	‖(s	PROPN
ejpam-502	304	11	,	,	PUNCT
ejpam-502	304	12	t)‖	t)‖	NOUN
ejpam-502	304	13	≤	≤	PROPN
ejpam-502	304	14	�	�	PROPN
ejpam-502	304	15	bt	bt	PROPN
ejpam-502	304	16	(	(	PUNCT
ejpam-502	304	17	s	s	NOUN
ejpam-502	304	18	)	)	PUNCT
ejpam-502	304	19	α⊗	α⊗	NOUN
ejpam-502	304	20	i	i	PROPN
ejpam-502	304	21	�	�	PROPN
ejpam-502	304	22	�	�	PROPN
ejpam-502	304	23	�	�	PROPN
ejpam-502	304	24	1	1	NUM
ejpam-502	304	25	t	t	NOUN
ejpam-502	304	26	�	�	PROPN
ejpam-502	304	27	i	i	PRON
ejpam-502	304	28	α⊗	α⊗	VERB
ejpam-502	304	29	bs	bs	INTJ
ejpam-502	304	30	(	(	PUNCT
ejpam-502	304	31	t)−	t)−	PROPN
ejpam-502	304	32	�	�	PROPN
ejpam-502	305	1	i	i	PRON
ejpam-502	305	2	α⊗	α⊗	VERB
ejpam-502	305	3	i	i	PRON
ejpam-502	305	4	�	�	PROPN
ejpam-502	305	5	�	�	PROPN
ejpam-502	305	6	−	−	PROPN
ejpam-502	305	7	�	�	PROPN
ejpam-502	306	1	i	i	PROPN
ejpam-502	306	2	⊗	⊗	PROPN
ejpam-502	306	3	a2	a2	PROPN
ejpam-502	306	4	�	�	PROPN
ejpam-502	306	5	�	�	PROPN
ejpam-502	306	6	(	(	PUNCT
ejpam-502	306	7	z	z	NOUN
ejpam-502	306	8	)	)	PUNCT
ejpam-502	306	9	�	�	PROPN
ejpam-502	306	10	+	+	CCONJ
ejpam-502	306	11	�	�	PROPN
ejpam-502	306	12	1	1	NUM
ejpam-502	306	13	s	s	NOUN
ejpam-502	306	14	�	�	PROPN
ejpam-502	306	15	bt	bt	PROPN
ejpam-502	306	16	(	(	PUNCT
ejpam-502	306	17	s	s	NOUN
ejpam-502	306	18	)	)	PUNCT
ejpam-502	306	19	α⊗	α⊗	NOUN
ejpam-502	307	1	i	i	PRON
ejpam-502	307	2	−	−	PROPN
ejpam-502	308	1	i	i	PRON
ejpam-502	308	2	α⊗	α⊗	VERB
ejpam-502	308	3	i	i	PRON
ejpam-502	308	4	�	�	PROPN
ejpam-502	309	1	−	−	PROPN
ejpam-502	309	2	�	�	PROPN
ejpam-502	309	3	a1⊗	a1⊗	X
ejpam-502	309	4	i	i	PRON
ejpam-502	309	5	�	�	VERB
ejpam-502	309	6	�	�	PROPN
ejpam-502	309	7	(	(	PUNCT
ejpam-502	309	8	z	z	NOUN
ejpam-502	309	9	)	)	PUNCT
ejpam-502	309	10	,	,	PUNCT
ejpam-502	309	11	as	as	ADP
ejpam-502	309	12	(	(	PUNCT
ejpam-502	309	13	s	s	PROPN
ejpam-502	309	14	,	,	PUNCT
ejpam-502	309	15	t	t	PROPN
ejpam-502	309	16	)	)	PUNCT
ejpam-502	309	17	→	→	SYM
ejpam-502	309	18	�	�	PROPN
ejpam-502	309	19	0	0	NUM
ejpam-502	309	20	+	+	PROPN
ejpam-502	309	21	,	,	PUNCT
ejpam-502	309	22	0	0	SYM
ejpam-502	309	23	+	+	NUM
ejpam-502	309	24	�	�	PROPN
ejpam-502	309	25	,	,	PUNCT
ejpam-502	309	26	the	the	DET
ejpam-502	309	27	second	second	ADJ
ejpam-502	309	28	norm	norm	NOUN
ejpam-502	309	29	in	in	ADP
ejpam-502	309	30	the	the	DET
ejpam-502	309	31	right	right	ADJ
ejpam-502	309	32	hand	hand	NOUN
ejpam-502	309	33	side	side	NOUN
ejpam-502	309	34	converges	converge	VERB
ejpam-502	309	35	to	to	ADP
ejpam-502	309	36	zero	zero	NUM
ejpam-502	309	37	,	,	PUNCT
ejpam-502	309	38	whereas	whereas	SCONJ
ejpam-502	309	39	the	the	DET
ejpam-502	309	40	first	first	ADJ
ejpam-502	309	41	norm	norm	NOUN
ejpam-502	309	42	converges	converge	VERB
ejpam-502	309	43	to	to	ADP
ejpam-502	309	44	zero	zero	NUM
ejpam-502	309	45	by	by	ADP
ejpam-502	309	46	lemma	lemma	PROPN
ejpam-502	309	47	6	6	NUM
ejpam-502	309	48	,	,	PUNCT
ejpam-502	309	49	the	the	DET
ejpam-502	309	50	strong	strong	ADJ
ejpam-502	309	51	continuity	continuity	NOUN
ejpam-502	309	52	of	of	ADP
ejpam-502	309	53	�	�	PROPN
ejpam-502	309	54	bt	bt	PROPN
ejpam-502	309	55	(	(	PUNCT
ejpam-502	309	56	s	s	NOUN
ejpam-502	309	57	)	)	PUNCT
ejpam-502	309	58	α⊗	α⊗	NOUN
ejpam-502	309	59	i	i	PRON
ejpam-502	309	60	�	�	PROPN
ejpam-502	309	61	s≥0	s≥0	PROPN
ejpam-502	309	62	,	,	PUNCT
ejpam-502	309	63	and	and	CCONJ
ejpam-502	309	64	the	the	DET
ejpam-502	309	65	uniform	uniform	PROPN
ejpam-502	309	66	boundedness	boundedness	PROPN
ejpam-502	309	67	principle	principle	PROPN
ejpam-502	309	68	.	.	PUNCT
ejpam-502	310	1	therefore	therefore	ADV
ejpam-502	310	2	,	,	PUNCT
ejpam-502	310	3	‖j(s	‖j(s	ADP
ejpam-502	310	4	,	,	PUNCT
ejpam-502	310	5	t)z‖	t)z‖	PROPN
ejpam-502	310	6	‖(s	‖(s	PROPN
ejpam-502	310	7	,	,	PUNCT
ejpam-502	310	8	t)‖	t)‖	NOUN
ejpam-502	310	9	→	→	SYM
ejpam-502	310	10	0	0	PUNCT
ejpam-502	310	11	as	as	ADP
ejpam-502	310	12	(	(	PUNCT
ejpam-502	310	13	s	s	X
ejpam-502	310	14	,	,	PUNCT
ejpam-502	310	15	t)→	t)→	PROPN
ejpam-502	310	16	(	(	PUNCT
ejpam-502	310	17	0	0	NUM
ejpam-502	310	18	+	+	ADJ
ejpam-502	310	19	,	,	PUNCT
ejpam-502	310	20	0	0	PUNCT
ejpam-502	310	21	+	+	NUM
ejpam-502	310	22	)	)	PUNCT
ejpam-502	310	23	.	.	PUNCT
ejpam-502	311	1	now	now	ADV
ejpam-502	311	2	,	,	PUNCT
ejpam-502	311	3	define	define	VERB
ejpam-502	311	4	l	l	NOUN
ejpam-502	311	5	:	:	PUNCT
ejpam-502	311	6	r+	r+	NOUN
ejpam-502	311	7	2	2	NUM
ejpam-502	311	8	→l	→l	SYM
ejpam-502	311	9	(	(	PUNCT
ejpam-502	311	10	x	x	SYM
ejpam-502	311	11	α⊗y	α⊗y	ADJ
ejpam-502	311	12	)	)	PUNCT
ejpam-502	311	13	by	by	ADP
ejpam-502	311	14	(	(	PUNCT
ejpam-502	311	15	l	l	X
ejpam-502	311	16	(	(	PUNCT
ejpam-502	311	17	s	s	PROPN
ejpam-502	311	18	,	,	PUNCT
ejpam-502	311	19	t	t	PROPN
ejpam-502	311	20	)	)	PUNCT
ejpam-502	311	21	)	)	PUNCT
ejpam-502	312	1	z	z	NOUN
ejpam-502	312	2	=	=	PUNCT
ejpam-502	312	3	�	�	PROPN
ejpam-502	312	4	�	�	PROPN
ejpam-502	312	5	a1	a1	NOUN
ejpam-502	313	1	⊗	⊗	PROPN
ejpam-502	313	2	i	i	PRON
ejpam-502	313	3	,	,	PUNCT
ejpam-502	313	4	i	i	PROPN
ejpam-502	313	5	⊗	⊗	PROPN
ejpam-502	313	6	a2	a2	PROPN
ejpam-502	313	7	�	�	PROPN
ejpam-502	313	8	�	�	PROPN
ejpam-502	313	9	s	s	PART
ejpam-502	313	10	t	t	PROPN
ejpam-502	313	11	�	�	PROPN
ejpam-502	313	12	�	�	PROPN
ejpam-502	313	13	z	z	PROPN
ejpam-502	313	14	for	for	ADP
ejpam-502	313	15	every	every	DET
ejpam-502	313	16	z	z	PROPN
ejpam-502	313	17	∈d	∈d	NOUN
ejpam-502	313	18	�	�	PROPN
ejpam-502	313	19	�	�	PROPN
ejpam-502	313	20	a1	a1	PROPN
ejpam-502	313	21	⊗	⊗	PROPN
ejpam-502	314	1	i	i	PROPN
ejpam-502	314	2	�	�	PROPN
ejpam-502	314	3	�	�	PROPN
ejpam-502	314	4	s	s	PART
ejpam-502	314	5	t	t	PROPN
ejpam-502	314	6	�	�	PROPN
ejpam-502	314	7	�	�	PROPN
ejpam-502	314	8	∩	∩	PROPN
ejpam-502	314	9	d	d	SYM
ejpam-502	314	10	�	�	PROPN
ejpam-502	314	11	�	�	PROPN
ejpam-502	314	12	i	i	PROPN
ejpam-502	314	13	⊗	⊗	PROPN
ejpam-502	314	14	a2	a2	PROPN
ejpam-502	314	15	�	�	PROPN
ejpam-502	314	16	�	�	PROPN
ejpam-502	314	17	s	s	PART
ejpam-502	314	18	t	t	PROPN
ejpam-502	314	19	�	�	PROPN
ejpam-502	314	20	�	�	PROPN
ejpam-502	314	21	=	=	PROPN
ejpam-502	314	22	d	d	PROPN
ejpam-502	314	23	�	�	PROPN
ejpam-502	314	24	�	�	PROPN
ejpam-502	314	25	a1	a1	NOUN
ejpam-502	314	26	⊗	⊗	PROPN
ejpam-502	314	27	i	i	PROPN
ejpam-502	314	28	�	�	PROPN
ejpam-502	314	29	�	�	PROPN
ejpam-502	314	30	∩d	∩d	NOUN
ejpam-502	314	31	�	�	PROPN
ejpam-502	314	32	�	�	PROPN
ejpam-502	314	33	i	i	PROPN
ejpam-502	314	34	⊗	⊗	PROPN
ejpam-502	314	35	a2	a2	PROPN
ejpam-502	314	36	�	�	PROPN
ejpam-502	314	37	�	�	PROPN
ejpam-502	314	38	.	.	PUNCT
ejpam-502	315	1	then	then	ADV
ejpam-502	315	2	d	d	X
ejpam-502	315	3	(	(	PUNCT
ejpam-502	315	4	t	t	PROPN
ejpam-502	315	5	(	(	PUNCT
ejpam-502	315	6	s)⊗	s)⊗	PROPN
ejpam-502	315	7	s	s	PROPN
ejpam-502	315	8	(	(	PUNCT
ejpam-502	315	9	t	t	PROPN
ejpam-502	315	10	)	)	PUNCT
ejpam-502	315	11	)	)	PUNCT
ejpam-502	316	1	|	|	ADV
ejpam-502	316	2	(	(	PUNCT
ejpam-502	316	3	s	s	NOUN
ejpam-502	316	4	,	,	PUNCT
ejpam-502	316	5	t)=(0,0	t)=(0,0	NOUN
ejpam-502	316	6	)	)	PUNCT
ejpam-502	316	7	=	=	SYM
ejpam-502	317	1	(	(	PUNCT
ejpam-502	317	2	a1⊗	a1⊗	X
ejpam-502	317	3	i	i	PRON
ejpam-502	317	4	,	,	PUNCT
ejpam-502	317	5	i	i	PROPN
ejpam-502	317	6	⊗	⊗	PROPN
ejpam-502	317	7	a2	a2	PROPN
ejpam-502	317	8	)	)	PUNCT
ejpam-502	317	9	,	,	PUNCT
ejpam-502	317	10	as	as	ADP
ejpam-502	317	11	a	a	DET
ejpam-502	317	12	linear	linear	ADJ
ejpam-502	317	13	transformation	transformation	NOUN
ejpam-502	317	14	from	from	ADP
ejpam-502	317	15	r	r	NOUN
ejpam-502	317	16	+2	+2	PROPN
ejpam-502	317	17	to	to	ADP
ejpam-502	317	18	l	l	PROPN
ejpam-502	317	19	(	(	PUNCT
ejpam-502	317	20	x	x	SYM
ejpam-502	317	21	α⊗	α⊗	PROPN
ejpam-502	317	22	y	y	PROPN
ejpam-502	317	23	)	)	PUNCT
ejpam-502	317	24	is	be	AUX
ejpam-502	317	25	the	the	DET
ejpam-502	317	26	derivative	derivative	NOUN
ejpam-502	317	27	of	of	ADP
ejpam-502	317	28	the	the	DET
ejpam-502	317	29	c0	c0	NOUN
ejpam-502	317	30	t.p.s.(t	t.p.s.(t	PROPN
ejpam-502	317	31	(	(	PUNCT
ejpam-502	317	32	s)⊗	s)⊗	PROPN
ejpam-502	317	33	s	s	PART
ejpam-502	317	34	(	(	PUNCT
ejpam-502	317	35	t))s	t))s	PROPN
ejpam-502	317	36	,	,	PUNCT
ejpam-502	317	37	t≥0	t≥0	NOUN
ejpam-502	317	38	at	at	ADP
ejpam-502	317	39	(	(	PUNCT
ejpam-502	317	40	0,0	0,0	NOUN
ejpam-502	317	41	)	)	PUNCT
ejpam-502	317	42	.	.	PUNCT
ejpam-502	318	1	hence	hence	ADV
ejpam-502	318	2	the	the	DET
ejpam-502	318	3	linear	linear	ADJ
ejpam-502	318	4	transformation	transformation	NOUN
ejpam-502	318	5	l=	l=	ADJ
ejpam-502	318	6	�	�	PROPN
ejpam-502	318	7	a1	a1	NOUN
ejpam-502	319	1	⊗	⊗	PROPN
ejpam-502	319	2	i	i	PRON
ejpam-502	319	3	,	,	PUNCT
ejpam-502	319	4	i	i	PROPN
ejpam-502	319	5	⊗	⊗	PROPN
ejpam-502	319	6	a2	a2	PROPN
ejpam-502	319	7	�	�	PROPN
ejpam-502	319	8	is	be	AUX
ejpam-502	319	9	the	the	DET
ejpam-502	319	10	infinitesimal	infinitesimal	ADJ
ejpam-502	319	11	generator	generator	NOUN
ejpam-502	319	12	of	of	ADP
ejpam-502	319	13	the	the	DET
ejpam-502	319	14	c0	c0	PROPN
ejpam-502	319	15	t.p.s	t.p.s	PROPN
ejpam-502	319	16	.	.	PUNCT
ejpam-502	320	1	(	(	PUNCT
ejpam-502	320	2	t	t	PROPN
ejpam-502	320	3	(	(	PUNCT
ejpam-502	320	4	s)⊗	s)⊗	PROPN
ejpam-502	320	5	s	s	PART
ejpam-502	320	6	(	(	PUNCT
ejpam-502	320	7	t))s	t))s	PROPN
ejpam-502	320	8	,	,	PUNCT
ejpam-502	320	9	t≥0	t≥0	PROPN
ejpam-502	320	10	.	.	PUNCT
ejpam-502	321	1	remark	remark	PROPN
ejpam-502	321	2	2	2	NUM
ejpam-502	321	3	.	.	PUNCT
ejpam-502	322	1	one	one	PRON
ejpam-502	322	2	can	can	AUX
ejpam-502	322	3	show	show	VERB
ejpam-502	322	4	that	that	SCONJ
ejpam-502	322	5	for	for	ADP
ejpam-502	322	6	any	any	DET
ejpam-502	322	7	nonzero	nonzero	NOUN
ejpam-502	322	8	(	(	PUNCT
ejpam-502	322	9	a	a	PRON
ejpam-502	322	10	,	,	PUNCT
ejpam-502	322	11	b	b	NOUN
ejpam-502	322	12	)	)	PUNCT
ejpam-502	322	13	∈	∈	NOUN
ejpam-502	322	14	r	r	NOUN
ejpam-502	322	15	+2	+2	PROPN
ejpam-502	322	16	,	,	PUNCT
ejpam-502	322	17	d	d	PROPN
ejpam-502	322	18	�	�	PROPN
ejpam-502	322	19	a1	a1	PROPN
ejpam-502	322	20	�	�	PROPN
ejpam-502	322	21	⊗d	⊗d	PROPN
ejpam-502	322	22	�	�	PROPN
ejpam-502	322	23	a2	a2	PROPN
ejpam-502	322	24	�	�	PROPN
ejpam-502	322	25	is	be	AUX
ejpam-502	322	26	a	a	DET
ejpam-502	322	27	core	core	NOUN
ejpam-502	322	28	for	for	ADP
ejpam-502	322	29	�	�	PROPN
ejpam-502	322	30	a1	a1	PROPN
ejpam-502	323	1	⊗	⊗	PROPN
ejpam-502	323	2	i	i	PRON
ejpam-502	323	3	,	,	PUNCT
ejpam-502	323	4	i	i	PROPN
ejpam-502	323	5	⊗	⊗	PROPN
ejpam-502	323	6	a2	a2	PROPN
ejpam-502	323	7	�	�	PROPN
ejpam-502	323	8	�	�	PROPN
ejpam-502	323	9	a	a	DET
ejpam-502	323	10	b	b	PROPN
ejpam-502	323	11	�	�	PROPN
ejpam-502	323	12	.	.	PUNCT
ejpam-502	324	1	1	1	X
ejpam-502	324	2	.	.	X
ejpam-502	324	3	in	in	ADP
ejpam-502	324	4	general	general	ADJ
ejpam-502	324	5	,	,	PUNCT
ejpam-502	324	6	if	if	SCONJ
ejpam-502	324	7	a	a	DET
ejpam-502	324	8	,	,	PUNCT
ejpam-502	324	9	b	b	NOUN
ejpam-502	324	10	are	be	AUX
ejpam-502	324	11	closable	closable	ADJ
ejpam-502	324	12	,	,	PUNCT
ejpam-502	324	13	or	or	CCONJ
ejpam-502	324	14	even	even	ADV
ejpam-502	324	15	,	,	PUNCT
ejpam-502	324	16	closed	close	VERB
ejpam-502	324	17	linear	linear	ADJ
ejpam-502	324	18	operators	operator	NOUN
ejpam-502	324	19	on	on	ADP
ejpam-502	324	20	the	the	DET
ejpam-502	324	21	banach	banach	NOUN
ejpam-502	324	22	space	space	NOUN
ejpam-502	324	23	x	x	X
ejpam-502	324	24	,	,	PUNCT
ejpam-502	324	25	then	then	ADV
ejpam-502	324	26	a+b	a+b	AUX
ejpam-502	324	27	need	need	AUX
ejpam-502	324	28	not	not	PART
ejpam-502	324	29	be	be	AUX
ejpam-502	324	30	closed	close	VERB
ejpam-502	324	31	.	.	PUNCT
ejpam-502	325	1	but	but	CCONJ
ejpam-502	325	2	,	,	PUNCT
ejpam-502	325	3	theorem	theorem	VERB
ejpam-502	325	4	1.1	1.1	NUM
ejpam-502	325	5	in	in	ADP
ejpam-502	325	6	[	[	X
ejpam-502	325	7	5	5	NUM
ejpam-502	325	8	]	]	PUNCT
ejpam-502	325	9	ensures	ensure	VERB
ejpam-502	325	10	that	that	SCONJ
ejpam-502	325	11	aa1⊗	aa1⊗	NOUN
ejpam-502	325	12	i+	i+	NUM
ejpam-502	325	13	b	b	PROPN
ejpam-502	325	14	,	,	PUNCT
ejpam-502	325	15	i⊗a2	i⊗a2	PROPN
ejpam-502	325	16	,	,	PUNCT
ejpam-502	325	17	a	a	PRON
ejpam-502	325	18	,	,	PUNCT
ejpam-502	325	19	b	b	NOUN
ejpam-502	325	20	6=	6=	ADP
ejpam-502	325	21	0	0	NUM
ejpam-502	325	22	is	be	AUX
ejpam-502	325	23	closable	closable	ADJ
ejpam-502	325	24	.	.	PUNCT
ejpam-502	326	1	moreover	moreover	ADV
ejpam-502	326	2	,	,	PUNCT
ejpam-502	326	3	its	its	PRON
ejpam-502	326	4	closure	closure	NOUN
ejpam-502	326	5	is	be	AUX
ejpam-502	326	6	aa1	aa1	PROPN
ejpam-502	327	1	⊗	⊗	PROPN
ejpam-502	327	2	i	i	PROPN
ejpam-502	328	1	+	+	CCONJ
ejpam-502	328	2	bi	bi	PROPN
ejpam-502	328	3	⊗a2	⊗a2	PROPN
ejpam-502	328	4	.	.	PROPN
ejpam-502	329	1	2	2	NUM
ejpam-502	329	2	.	.	X
ejpam-502	329	3	since	since	SCONJ
ejpam-502	329	4	the	the	DET
ejpam-502	329	5	restriction	restriction	NOUN
ejpam-502	329	6	of	of	ADP
ejpam-502	329	7	l(a	l(a	PROPN
ejpam-502	329	8	,	,	PUNCT
ejpam-502	329	9	b	b	NOUN
ejpam-502	329	10	)	)	PUNCT
ejpam-502	329	11	to	to	ADP
ejpam-502	329	12	x	x	SYM
ejpam-502	329	13	⊗	⊗	PROPN
ejpam-502	329	14	y	y	PROPN
ejpam-502	329	15	is	be	AUX
ejpam-502	329	16	defined	define	VERB
ejpam-502	329	17	by	by	ADP
ejpam-502	329	18	l(a	l(a	PROPN
ejpam-502	329	19	,	,	PUNCT
ejpam-502	329	20	b	b	NOUN
ejpam-502	329	21	)	)	PUNCT
ejpam-502	329	22	�	�	PROPN
ejpam-502	330	1	x	x	PUNCT
ejpam-502	330	2	⊗	⊗	PROPN
ejpam-502	330	3	y	y	PROPN
ejpam-502	330	4	�	�	PROPN
ejpam-502	330	5	=	=	SYM
ejpam-502	330	6	�	�	PROPN
ejpam-502	330	7	aa1	aa1	PROPN
ejpam-502	331	1	⊗	⊗	PROPN
ejpam-502	331	2	i	i	PRON
ejpam-502	332	1	+	+	CCONJ
ejpam-502	332	2	bi	bi	PROPN
ejpam-502	332	3	⊗	⊗	PROPN
ejpam-502	332	4	a2	a2	PROPN
ejpam-502	332	5	�	�	PROPN
ejpam-502	332	6	�	�	PROPN
ejpam-502	332	7	x	x	PROPN
ejpam-502	332	8	⊗	⊗	PROPN
ejpam-502	332	9	y	y	PROPN
ejpam-502	332	10	�	�	PROPN
ejpam-502	332	11	=	=	SYM
ejpam-502	332	12	�	�	PROPN
ejpam-502	332	13	a1⊗	a1⊗	X
ejpam-502	333	1	i	i	PRON
ejpam-502	333	2	+	+	NUM
ejpam-502	333	3	i	i	PROPN
ejpam-502	333	4	⊗a2	⊗a2	PROPN
ejpam-502	333	5	�	�	PROPN
ejpam-502	333	6	�	�	PROPN
ejpam-502	333	7	a	a	DET
ejpam-502	333	8	b	b	PROPN
ejpam-502	333	9	�	�	PROPN
ejpam-502	333	10	�	�	PROPN
ejpam-502	333	11	x	x	PUNCT
ejpam-502	333	12	⊗	⊗	PROPN
ejpam-502	333	13	y	y	PROPN
ejpam-502	333	14	�	�	PROPN
ejpam-502	333	15	,	,	PUNCT
ejpam-502	333	16	for	for	ADP
ejpam-502	333	17	all	all	DET
ejpam-502	333	18	x	x	SYM
ejpam-502	333	19	∈	∈	PROPN
ejpam-502	333	20	d	d	PROPN
ejpam-502	333	21	�	�	PROPN
ejpam-502	333	22	a1	a1	PROPN
ejpam-502	333	23	�	�	PROPN
ejpam-502	333	24	,	,	PUNCT
ejpam-502	333	25	y	y	PROPN
ejpam-502	333	26	∈	∈	PROPN
ejpam-502	333	27	d	d	PROPN
ejpam-502	333	28	�	�	PROPN
ejpam-502	333	29	a2	a2	PROPN
ejpam-502	333	30	�	�	PROPN
ejpam-502	333	31	,	,	PUNCT
ejpam-502	333	32	and	and	CCONJ
ejpam-502	333	33	since	since	SCONJ
ejpam-502	333	34	x	x	PROPN
ejpam-502	333	35	⊗	⊗	PROPN
ejpam-502	333	36	y	y	PROPN
ejpam-502	333	37	is	be	AUX
ejpam-502	333	38	dense	dense	ADJ
ejpam-502	333	39	in	in	ADP
ejpam-502	333	40	x	x	SYM
ejpam-502	333	41	α⊗	α⊗	PROPN
ejpam-502	333	42	y	y	PROPN
ejpam-502	333	43	,	,	PUNCT
ejpam-502	333	44	it	it	PRON
ejpam-502	333	45	is	be	AUX
ejpam-502	333	46	enough	enough	ADJ
ejpam-502	333	47	to	to	PART
ejpam-502	333	48	study	study	VERB
ejpam-502	333	49	t	t	PROPN
ejpam-502	333	50	(	(	PUNCT
ejpam-502	333	51	s)⊗	s)⊗	PROPN
ejpam-502	333	52	s	s	PART
ejpam-502	333	53	(	(	PUNCT
ejpam-502	333	54	t	t	PROPN
ejpam-502	333	55	)	)	PUNCT
ejpam-502	333	56	instead	instead	ADV
ejpam-502	333	57	of	of	ADP
ejpam-502	333	58	its	its	PRON
ejpam-502	333	59	extension	extension	NOUN
ejpam-502	333	60	t	t	NOUN
ejpam-502	333	61	(	(	PUNCT
ejpam-502	333	62	s	s	NOUN
ejpam-502	333	63	)	)	PUNCT
ejpam-502	333	64	α⊗	α⊗	NOUN
ejpam-502	333	65	s	s	X
ejpam-502	333	66	(	(	PUNCT
ejpam-502	333	67	t	t	PROPN
ejpam-502	333	68	)	)	PUNCT
ejpam-502	333	69	,	,	PUNCT
ejpam-502	333	70	and	and	CCONJ
ejpam-502	333	71	�	�	PROPN
ejpam-502	333	72	a1	a1	NOUN
ejpam-502	334	1	⊗	⊗	PROPN
ejpam-502	334	2	i	i	PRON
ejpam-502	335	1	+	+	NUM
ejpam-502	336	1	i	i	PROPN
ejpam-502	336	2	⊗	⊗	PROPN
ejpam-502	336	3	a2	a2	PROPN
ejpam-502	336	4	�	�	PROPN
ejpam-502	336	5	�	�	PROPN
ejpam-502	336	6	a	a	DET
ejpam-502	336	7	b	b	PROPN
ejpam-502	336	8	�	�	PROPN
ejpam-502	336	9	instead	instead	ADV
ejpam-502	336	10	of	of	ADP
ejpam-502	336	11	its	its	PRON
ejpam-502	336	12	closure	closure	NOUN
ejpam-502	336	13	�	�	PROPN
ejpam-502	336	14	a1	a1	NOUN
ejpam-502	337	1	⊗	⊗	PROPN
ejpam-502	337	2	i	i	PRON
ejpam-502	337	3	,	,	PUNCT
ejpam-502	337	4	i	i	PROPN
ejpam-502	337	5	⊗	⊗	PROPN
ejpam-502	337	6	a2	a2	PROPN
ejpam-502	337	7	�	�	PROPN
ejpam-502	337	8	�	�	PROPN
ejpam-502	337	9	a	a	DET
ejpam-502	337	10	b	b	PROPN
ejpam-502	337	11	�	�	PROPN
ejpam-502	337	12	.	.	PUNCT
ejpam-502	338	1	from	from	ADP
ejpam-502	338	2	now	now	ADV
ejpam-502	338	3	on	on	ADV
ejpam-502	338	4	,	,	PUNCT
ejpam-502	338	5	the	the	DET
ejpam-502	338	6	infinitesimal	infinitesimal	ADJ
ejpam-502	338	7	generator	generator	NOUN
ejpam-502	338	8	of	of	ADP
ejpam-502	338	9	(	(	PUNCT
ejpam-502	338	10	t	t	PROPN
ejpam-502	338	11	(	(	PUNCT
ejpam-502	338	12	s)⊗	s)⊗	PROPN
ejpam-502	338	13	s	s	PART
ejpam-502	338	14	(	(	PUNCT
ejpam-502	338	15	t))s	t))s	PROPN
ejpam-502	338	16	,	,	PUNCT
ejpam-502	338	17	t≥0	t≥0	NOUN
ejpam-502	338	18	will	will	AUX
ejpam-502	338	19	be	be	AUX
ejpam-502	338	20	denoted	denote	VERB
ejpam-502	338	21	by	by	ADP
ejpam-502	338	22	�	�	PROPN
ejpam-502	338	23	a1	a1	NOUN
ejpam-502	339	1	⊗	⊗	PROPN
ejpam-502	339	2	i	i	PRON
ejpam-502	339	3	,	,	PUNCT
ejpam-502	339	4	i	i	PROPN
ejpam-502	339	5	⊗	⊗	PROPN
ejpam-502	339	6	a2	a2	PROPN
ejpam-502	339	7	�	�	PROPN
ejpam-502	339	8	.	.	PUNCT
ejpam-502	340	1	lemma	lemma	PROPN
ejpam-502	340	2	7	7	NUM
ejpam-502	340	3	.	.	PUNCT
ejpam-502	341	1	if	if	SCONJ
ejpam-502	341	2	(	(	PUNCT
ejpam-502	341	3	t	t	PROPN
ejpam-502	341	4	(	(	PUNCT
ejpam-502	341	5	s)⊗	s)⊗	PROPN
ejpam-502	341	6	i)s≥0	i)s≥0	PROPN
ejpam-502	341	7	is	be	AUX
ejpam-502	341	8	a	a	DET
ejpam-502	341	9	c0	c0	NOUN
ejpam-502	341	10	semigroup	semigroup	NOUN
ejpam-502	341	11	on	on	ADP
ejpam-502	341	12	x	x	PROPN
ejpam-502	341	13	α⊗y	α⊗y	ADJ
ejpam-502	341	14	with	with	ADP
ejpam-502	341	15	infinitesimal	infinitesimal	ADJ
ejpam-502	341	16	generator	generator	NOUN
ejpam-502	341	17	a1	a1	NOUN
ejpam-502	342	1	⊗	⊗	PROPN
ejpam-502	342	2	i	i	PRON
ejpam-502	342	3	where	where	SCONJ
ejpam-502	342	4	a1	a1	NOUN
ejpam-502	342	5	is	be	AUX
ejpam-502	342	6	a	a	DET
ejpam-502	342	7	linear	linear	ADJ
ejpam-502	342	8	operator	operator	NOUN
ejpam-502	342	9	on	on	ADP
ejpam-502	342	10	x	x	X
ejpam-502	342	11	,	,	PUNCT
ejpam-502	342	12	then	then	ADV
ejpam-502	342	13	(	(	PUNCT
ejpam-502	342	14	t	t	PROPN
ejpam-502	342	15	(	(	PUNCT
ejpam-502	342	16	s))s≥0	s))s≥0	PROPN
ejpam-502	342	17	is	be	AUX
ejpam-502	342	18	a	a	DET
ejpam-502	342	19	c0	c0	NOUN
ejpam-502	342	20	semigroup	semigroup	NOUN
ejpam-502	342	21	on	on	ADP
ejpam-502	342	22	x	x	PUNCT
ejpam-502	342	23	with	with	ADP
ejpam-502	342	24	infinitesimal	infinitesimal	ADJ
ejpam-502	342	25	generator	generator	NOUN
ejpam-502	342	26	a1	a1	PROPN
ejpam-502	342	27	.	.	PUNCT
ejpam-502	342	28	r.	r.	PROPN
ejpam-502	342	29	khalil	khalil	PROPN
ejpam-502	342	30	,	,	PUNCT
ejpam-502	342	31	r.	r.	PROPN
ejpam-502	342	32	al	al	PROPN
ejpam-502	342	33	-	-	PUNCT
ejpam-502	342	34	mirbati	mirbati	PROPN
ejpam-502	342	35	,	,	PUNCT
ejpam-502	342	36	d.	d.	PROPN
ejpam-502	342	37	drissi	drissi	PROPN
ejpam-502	342	38	/	/	PUNCT
ejpam-502	342	39	eur	eur	PROPN
ejpam-502	342	40	.	.	PUNCT
ejpam-502	343	1	j.	j.	PROPN
ejpam-502	343	2	pure	pure	PROPN
ejpam-502	343	3	appl	appl	PROPN
ejpam-502	343	4	.	.	PROPN
ejpam-502	343	5	math	math	PROPN
ejpam-502	343	6	,	,	PUNCT
ejpam-502	343	7	3	3	NUM
ejpam-502	343	8	(	(	PUNCT
ejpam-502	343	9	2010	2010	NUM
ejpam-502	343	10	)	)	PUNCT
ejpam-502	343	11	,	,	PUNCT
ejpam-502	343	12	881	881	NUM
ejpam-502	343	13	-	-	SYM
ejpam-502	343	14	898	898	NUM
ejpam-502	343	15	891	891	NUM
ejpam-502	343	16	the	the	DET
ejpam-502	343	17	proof	proof	NOUN
ejpam-502	343	18	follows	follow	VERB
ejpam-502	343	19	from	from	ADP
ejpam-502	343	20	general	general	ADJ
ejpam-502	343	21	functional	functional	ADJ
ejpam-502	343	22	analysis	analysis	NOUN
ejpam-502	343	23	arguments	argument	NOUN
ejpam-502	343	24	and	and	CCONJ
ejpam-502	343	25	will	will	AUX
ejpam-502	343	26	be	be	AUX
ejpam-502	343	27	omitted	omit	VERB
ejpam-502	343	28	.	.	PUNCT
ejpam-502	344	1	lemma	lemma	PROPN
ejpam-502	344	2	8	8	NUM
ejpam-502	344	3	.	.	PUNCT
ejpam-502	345	1	if	if	SCONJ
ejpam-502	345	2	(	(	PUNCT
ejpam-502	345	3	t	t	PROPN
ejpam-502	345	4	(	(	PUNCT
ejpam-502	345	5	s)⊗	s)⊗	PROPN
ejpam-502	345	6	s	s	PART
ejpam-502	345	7	(	(	PUNCT
ejpam-502	345	8	t))s	t))s	PROPN
ejpam-502	345	9	,	,	PUNCT
ejpam-502	345	10	t≥o	t≥o	X
ejpam-502	345	11	is	be	AUX
ejpam-502	345	12	a	a	DET
ejpam-502	345	13	c0	c0	PROPN
ejpam-502	345	14	t.p.s	t.p.s	PROPN
ejpam-502	345	15	.	.	PUNCT
ejpam-502	346	1	on	on	ADP
ejpam-502	346	2	x	x	SYM
ejpam-502	346	3	α⊗	α⊗	PROPN
ejpam-502	346	4	y	y	PROPN
ejpam-502	346	5	,	,	PUNCT
ejpam-502	346	6	then	then	ADV
ejpam-502	346	7	for	for	ADP
ejpam-502	346	8	every	every	DET
ejpam-502	346	9	(	(	PUNCT
ejpam-502	346	10	a	a	PRON
ejpam-502	346	11	,	,	PUNCT
ejpam-502	346	12	b	b	NOUN
ejpam-502	346	13	)	)	PUNCT
ejpam-502	346	14	∈	∈	PROPN
ejpam-502	346	15	r+2	r+2	NUM
ejpam-502	346	16	,	,	PUNCT
ejpam-502	346	17	the	the	DET
ejpam-502	346	18	family	family	NOUN
ejpam-502	346	19	(	(	PUNCT
ejpam-502	346	20	t	t	PROPN
ejpam-502	346	21	(	(	PUNCT
ejpam-502	346	22	as)⊗	as)⊗	PROPN
ejpam-502	346	23	s	s	PART
ejpam-502	346	24	(	(	PUNCT
ejpam-502	346	25	bs))s≥o	bs))s≥o	NOUN
ejpam-502	346	26	is	be	AUX
ejpam-502	346	27	a	a	DET
ejpam-502	346	28	one	one	NUM
ejpam-502	346	29	parameter	parameter	NOUN
ejpam-502	346	30	c0	c0	PROPN
ejpam-502	346	31	semigroup	semigroup	PROPN
ejpam-502	346	32	on	on	ADP
ejpam-502	346	33	the	the	DET
ejpam-502	346	34	banach	banach	NOUN
ejpam-502	346	35	space	space	NOUN
ejpam-502	347	1	x	x	INTJ
ejpam-502	347	2	α⊗	α⊗	VERB
ejpam-502	347	3	y	y	PROPN
ejpam-502	347	4	.	.	PUNCT
ejpam-502	348	1	proof	proof	NOUN
ejpam-502	348	2	.	.	PUNCT
ejpam-502	349	1	let	let	VERB
ejpam-502	349	2	q(h	q(h	X
ejpam-502	349	3	)	)	PUNCT
ejpam-502	350	1	=	=	SYM
ejpam-502	350	2	t	t	PROPN
ejpam-502	350	3	(	(	PUNCT
ejpam-502	350	4	ah)⊗	ah)⊗	PROPN
ejpam-502	350	5	s	s	PART
ejpam-502	350	6	(	(	PUNCT
ejpam-502	350	7	bh	bh	NOUN
ejpam-502	350	8	)	)	PUNCT
ejpam-502	350	9	.	.	PUNCT
ejpam-502	351	1	then	then	ADV
ejpam-502	351	2	q(0	q(0	PROPN
ejpam-502	351	3	)	)	PUNCT
ejpam-502	352	1	=	=	NOUN
ejpam-502	352	2	i	i	INTJ
ejpam-502	352	3	,	,	PUNCT
ejpam-502	352	4	where	where	SCONJ
ejpam-502	352	5	i	i	PRON
ejpam-502	352	6	is	be	AUX
ejpam-502	352	7	the	the	DET
ejpam-502	352	8	identity	identity	NOUN
ejpam-502	352	9	on	on	ADP
ejpam-502	352	10	x	x	PROPN
ejpam-502	352	11	⊗	⊗	PROPN
ejpam-502	352	12	y	y	PROPN
ejpam-502	352	13	,	,	PUNCT
ejpam-502	352	14	and	and	CCONJ
ejpam-502	352	15	q(h1	q(h1	PROPN
ejpam-502	352	16	+	+	CCONJ
ejpam-502	352	17	h2	h2	NOUN
ejpam-502	352	18	)	)	PUNCT
ejpam-502	352	19	=	=	SYM
ejpam-502	352	20	�	�	PROPN
ejpam-502	352	21	t	t	PROPN
ejpam-502	352	22	�	�	PROPN
ejpam-502	352	23	ah1	ah1	PROPN
ejpam-502	352	24	�	�	PROPN
ejpam-502	352	25	⊗	⊗	PROPN
ejpam-502	352	26	s	s	PART
ejpam-502	352	27	�	�	PROPN
ejpam-502	352	28	bh1	bh1	PROPN
ejpam-502	352	29	�	�	PROPN
ejpam-502	352	30	�	�	PROPN
ejpam-502	352	31	�	�	PROPN
ejpam-502	352	32	t	t	PROPN
ejpam-502	352	33	�	�	PROPN
ejpam-502	352	34	ah2	ah2	PROPN
ejpam-502	352	35	�	�	PROPN
ejpam-502	352	36	⊗	⊗	PROPN
ejpam-502	352	37	s	s	PROPN
ejpam-502	352	38	�	�	PROPN
ejpam-502	352	39	bh2	bh2	PROPN
ejpam-502	352	40	�	�	PROPN
ejpam-502	352	41	�	�	PROPN
ejpam-502	352	42	=	=	SYM
ejpam-502	352	43	q(h1)q(h2	q(h1)q(h2	PROPN
ejpam-502	352	44	)	)	PUNCT
ejpam-502	352	45	.	.	PUNCT
ejpam-502	353	1	put	put	VERB
ejpam-502	353	2	bh=	bh=	PROPN
ejpam-502	353	3	t	t	PROPN
ejpam-502	353	4	,	,	PUNCT
ejpam-502	353	5	ah=	ah=	PROPN
ejpam-502	353	6	s.	s.	PROPN
ejpam-502	353	7	since	since	SCONJ
ejpam-502	353	8	h→	h→	PROPN
ejpam-502	353	9	0	0	NUM
ejpam-502	353	10	+	+	NOUN
ejpam-502	353	11	if	if	SCONJ
ejpam-502	353	12	and	and	CCONJ
ejpam-502	353	13	only	only	ADV
ejpam-502	353	14	if	if	SCONJ
ejpam-502	353	15	s	s	VERB
ejpam-502	353	16	=	=	PUNCT
ejpam-502	353	17	ah→	ah→	PROPN
ejpam-502	353	18	0	0	PUNCT
ejpam-502	354	1	+	+	CCONJ
ejpam-502	354	2	if	if	SCONJ
ejpam-502	354	3	and	and	CCONJ
ejpam-502	354	4	only	only	ADV
ejpam-502	354	5	if	if	SCONJ
ejpam-502	354	6	t	t	NOUN
ejpam-502	354	7	=	=	PUNCT
ejpam-502	354	8	bh→	bh→	NOUN
ejpam-502	354	9	0	0	PUNCT
ejpam-502	355	1	+	+	ADJ
ejpam-502	355	2	,	,	PUNCT
ejpam-502	355	3	then	then	ADV
ejpam-502	355	4	the	the	DET
ejpam-502	355	5	function	function	NOUN
ejpam-502	355	6	q(h	q(h	PROPN
ejpam-502	355	7	)	)	PUNCT
ejpam-502	356	1	=	=	SYM
ejpam-502	356	2	t	t	PROPN
ejpam-502	356	3	(	(	PUNCT
ejpam-502	356	4	s)⊗s	s)⊗s	ADJ
ejpam-502	356	5	(	(	PUNCT
ejpam-502	356	6	t	t	NOUN
ejpam-502	356	7	)	)	PUNCT
ejpam-502	356	8	converges	converge	NOUN
ejpam-502	356	9	to	to	ADP
ejpam-502	356	10	i	i	PRON
ejpam-502	356	11	as	as	ADP
ejpam-502	356	12	h→	h→	NOUN
ejpam-502	356	13	0	0	NUM
ejpam-502	356	14	+	+	CCONJ
ejpam-502	356	15	in	in	ADP
ejpam-502	356	16	the	the	DET
ejpam-502	356	17	strong	strong	ADJ
ejpam-502	356	18	operator	operator	NOUN
ejpam-502	356	19	topology	topology	NOUN
ejpam-502	356	20	.	.	PUNCT
ejpam-502	357	1	lemma	lemma	PROPN
ejpam-502	357	2	9	9	NUM
ejpam-502	357	3	.	.	PUNCT
ejpam-502	358	1	let	let	VERB
ejpam-502	358	2	0	0	NUM
ejpam-502	358	3	6=	6=	NUM
ejpam-502	358	4	(	(	PUNCT
ejpam-502	358	5	a	a	PRON
ejpam-502	358	6	,	,	PUNCT
ejpam-502	358	7	b	b	NOUN
ejpam-502	358	8	)	)	PUNCT
ejpam-502	358	9	∈	∈	PROPN
ejpam-502	358	10	r	r	NOUN
ejpam-502	358	11	+2	+2	PROPN
ejpam-502	358	12	.	.	PUNCT
ejpam-502	359	1	then	then	ADV
ejpam-502	359	2	the	the	DET
ejpam-502	359	3	infinitesimal	infinitesimal	ADJ
ejpam-502	359	4	generator	generator	NOUN
ejpam-502	359	5	of	of	ADP
ejpam-502	359	6	the	the	DET
ejpam-502	359	7	one	one	NUM
ejpam-502	359	8	parameter	parameter	NOUN
ejpam-502	359	9	c0	c0	PROPN
ejpam-502	359	10	semigroup	semigroup	PROPN
ejpam-502	359	11	(	(	PUNCT
ejpam-502	359	12	t	t	PROPN
ejpam-502	359	13	(	(	PUNCT
ejpam-502	359	14	as)⊗	as)⊗	PROPN
ejpam-502	359	15	s	s	PART
ejpam-502	359	16	(	(	PUNCT
ejpam-502	359	17	bs))s≥o	bs))s≥o	NOUN
ejpam-502	359	18	is	be	AUX
ejpam-502	359	19	the	the	DET
ejpam-502	359	20	linear	linear	ADJ
ejpam-502	359	21	operator	operator	NOUN
ejpam-502	360	1	aa1⊗	aa1⊗	NOUN
ejpam-502	361	1	i	i	PRON
ejpam-502	362	1	+	+	PROPN
ejpam-502	363	1	b	b	X
ejpam-502	363	2	,	,	PUNCT
ejpam-502	363	3	i	i	PROPN
ejpam-502	363	4	⊗	⊗	PROPN
ejpam-502	363	5	a2	a2	PROPN
ejpam-502	363	6	.	.	PUNCT
ejpam-502	364	1	proof	proof	NOUN
ejpam-502	364	2	.	.	PUNCT
ejpam-502	365	1	the	the	DET
ejpam-502	365	2	generator	generator	NOUN
ejpam-502	365	3	of	of	ADP
ejpam-502	365	4	the	the	DET
ejpam-502	365	5	one	one	NUM
ejpam-502	365	6	parameter	parameter	NOUN
ejpam-502	365	7	semigroup	semigroup	NOUN
ejpam-502	365	8	(	(	PUNCT
ejpam-502	365	9	t	t	PROPN
ejpam-502	365	10	(	(	PUNCT
ejpam-502	365	11	as)⊗	as)⊗	PROPN
ejpam-502	365	12	s	s	PART
ejpam-502	365	13	(	(	PUNCT
ejpam-502	365	14	bs))s≥o	bs))s≥o	X
ejpam-502	365	15	is	be	AUX
ejpam-502	365	16	given	give	VERB
ejpam-502	365	17	by	by	ADP
ejpam-502	365	18	d+	d+	NOUN
ejpam-502	365	19	ds	ds	X
ejpam-502	365	20	(	(	PUNCT
ejpam-502	365	21	t	t	PROPN
ejpam-502	365	22	(	(	PUNCT
ejpam-502	365	23	as)⊗	as)⊗	PROPN
ejpam-502	365	24	s	s	PROPN
ejpam-502	365	25	(	(	PUNCT
ejpam-502	365	26	bs))|s=0	bs))|s=0	NOUN
ejpam-502	365	27	=	=	SYM
ejpam-502	365	28	d+	d+	PUNCT
ejpam-502	365	29	ds	ds	X
ejpam-502	365	30	(	(	PUNCT
ejpam-502	365	31	t	t	PROPN
ejpam-502	365	32	(	(	PUNCT
ejpam-502	365	33	as)⊗	as)⊗	PROPN
ejpam-502	365	34	i	i	PROPN
ejpam-502	365	35	)	)	PUNCT
ejpam-502	365	36	(	(	PUNCT
ejpam-502	365	37	i	i	PROPN
ejpam-502	365	38	⊗	⊗	PROPN
ejpam-502	365	39	s	s	X
ejpam-502	365	40	(	(	PUNCT
ejpam-502	365	41	bs))|s=0	bs))|s=0	NOUN
ejpam-502	365	42	=	=	SYM
ejpam-502	365	43	d+	d+	X
ejpam-502	365	44	ds	ds	ADJ
ejpam-502	365	45	�	�	PROPN
ejpam-502	365	46	bt	bt	PROPN
ejpam-502	365	47	(	(	PUNCT
ejpam-502	365	48	as)⊗	as)⊗	PROPN
ejpam-502	365	49	i	i	PROPN
ejpam-502	365	50	�	�	NOUN
ejpam-502	365	51	�	�	PROPN
ejpam-502	366	1	i	i	PRON
ejpam-502	366	2	⊗	⊗	VERB
ejpam-502	366	3	bs	bs	INTJ
ejpam-502	366	4	(	(	PUNCT
ejpam-502	366	5	bs	bs	PROPN
ejpam-502	366	6	)	)	PUNCT
ejpam-502	366	7	�	�	PROPN
ejpam-502	366	8	|s=0	|s=0	PROPN
ejpam-502	366	9	.	.	PUNCT
ejpam-502	367	1	being	be	AUX
ejpam-502	367	2	the	the	DET
ejpam-502	367	3	derivative	derivative	NOUN
ejpam-502	367	4	of	of	ADP
ejpam-502	367	5	a	a	DET
ejpam-502	367	6	function	function	NOUN
ejpam-502	367	7	of	of	ADP
ejpam-502	367	8	one	one	NUM
ejpam-502	367	9	variable	variable	NOUN
ejpam-502	367	10	at	at	ADP
ejpam-502	367	11	s	s	NOUN
ejpam-502	367	12	=	=	SYM
ejpam-502	367	13	0	0	NUM
ejpam-502	367	14	,	,	PUNCT
ejpam-502	367	15	the	the	DET
ejpam-502	367	16	derivative	derivative	NOUN
ejpam-502	367	17	is	be	AUX
ejpam-502	367	18	�	�	PROPN
ejpam-502	367	19	d+	d+	NOUN
ejpam-502	367	20	ds	ds	PROPN
ejpam-502	367	21	�	�	PROPN
ejpam-502	367	22	bt	bt	PROPN
ejpam-502	367	23	(	(	PUNCT
ejpam-502	367	24	as)⊗	as)⊗	PROPN
ejpam-502	367	25	i	i	PROPN
ejpam-502	367	26	�	�	PROPN
ejpam-502	367	27	|s=0	|s=0	PROPN
ejpam-502	367	28	�	�	PROPN
ejpam-502	367	29	�	�	PROPN
ejpam-502	368	1	i	i	PRON
ejpam-502	368	2	⊗	⊗	VERB
ejpam-502	368	3	bs	bs	X
ejpam-502	368	4	(	(	PUNCT
ejpam-502	368	5	0	0	NUM
ejpam-502	368	6	)	)	PUNCT
ejpam-502	368	7	�	�	PROPN
ejpam-502	368	8	+	+	SYM
ejpam-502	368	9	�	�	PROPN
ejpam-502	368	10	bt	bt	PROPN
ejpam-502	368	11	(	(	PUNCT
ejpam-502	368	12	0)⊗	0)⊗	NUM
ejpam-502	368	13	i	i	PROPN
ejpam-502	368	14	�	�	PROPN
ejpam-502	368	15	�	�	PROPN
ejpam-502	368	16	d+	d+	NOUN
ejpam-502	368	17	ds	ds	ADJ
ejpam-502	368	18	�	�	NOUN
ejpam-502	368	19	i	i	PRON
ejpam-502	368	20	⊗	⊗	VERB
ejpam-502	368	21	bs	bs	INTJ
ejpam-502	368	22	(	(	PUNCT
ejpam-502	368	23	bs	bs	PROPN
ejpam-502	368	24	)	)	PUNCT
ejpam-502	368	25	�	�	PROPN
ejpam-502	368	26	|s=0	|s=0	PROPN
ejpam-502	368	27	�	�	PROPN
ejpam-502	368	28	=	=	PUNCT
ejpam-502	368	29	a	a	DET
ejpam-502	368	30	�	�	PROPN
ejpam-502	368	31	d+	d+	PUNCT
ejpam-502	368	32	d	d	NOUN
ejpam-502	368	33	(	(	PUNCT
ejpam-502	368	34	as	as	ADP
ejpam-502	368	35	)	)	PUNCT
ejpam-502	368	36	�	�	PROPN
ejpam-502	368	37	bt	bt	NOUN
ejpam-502	368	38	(	(	PUNCT
ejpam-502	368	39	as)⊗	as)⊗	PROPN
ejpam-502	368	40	i	i	PROPN
ejpam-502	368	41	�	�	PROPN
ejpam-502	368	42	|s=0	|s=0	PROPN
ejpam-502	368	43	�	�	PROPN
ejpam-502	368	44	(	(	PUNCT
ejpam-502	368	45	i	i	NOUN
ejpam-502	368	46	⊗	⊗	PROPN
ejpam-502	368	47	i	i	PROPN
ejpam-502	368	48	)	)	PUNCT
ejpam-502	369	1	+	+	CCONJ
ejpam-502	369	2	(	(	PUNCT
ejpam-502	369	3	i	i	PRON
ejpam-502	369	4	⊗	⊗	PROPN
ejpam-502	369	5	i	i	PROPN
ejpam-502	369	6	)	)	PUNCT
ejpam-502	369	7	b	b	PROPN
ejpam-502	369	8	�	�	PROPN
ejpam-502	369	9	d+	d+	PUNCT
ejpam-502	369	10	d	d	NOUN
ejpam-502	369	11	(	(	PUNCT
ejpam-502	369	12	as	as	ADP
ejpam-502	369	13	)	)	PUNCT
ejpam-502	369	14	�	�	PROPN
ejpam-502	369	15	i	i	PRON
ejpam-502	369	16	⊗	⊗	VERB
ejpam-502	369	17	bs	bs	INTJ
ejpam-502	369	18	(	(	PUNCT
ejpam-502	369	19	bs	bs	PROPN
ejpam-502	369	20	)	)	PUNCT
ejpam-502	369	21	�	�	PROPN
ejpam-502	369	22	|s=0	|s=0	PROPN
ejpam-502	369	23	�	�	PROPN
ejpam-502	369	24	(	(	PUNCT
ejpam-502	369	25	1	1	NUM
ejpam-502	369	26	)	)	PUNCT
ejpam-502	369	27	and	and	CCONJ
ejpam-502	369	28	this	this	PRON
ejpam-502	369	29	is	be	AUX
ejpam-502	369	30	just	just	ADV
ejpam-502	369	31	aa1⊗	aa1⊗	ADJ
ejpam-502	369	32	i	i	PRON
ejpam-502	369	33	+	+	PROPN
ejpam-502	369	34	b	b	X
ejpam-502	369	35	,	,	PUNCT
ejpam-502	369	36	i	i	PROPN
ejpam-502	369	37	⊗	⊗	PROPN
ejpam-502	369	38	a2	a2	PROPN
ejpam-502	369	39	.	.	PUNCT
ejpam-502	370	1	corollary	corollary	ADJ
ejpam-502	370	2	1	1	NUM
ejpam-502	370	3	.	.	PUNCT
ejpam-502	371	1	the	the	DET
ejpam-502	371	2	linear	linear	PROPN
ejpam-502	371	3	operator	operator	NOUN
ejpam-502	371	4	aa1	aa1	PROPN
ejpam-502	372	1	⊗	⊗	PROPN
ejpam-502	373	1	i	i	PROPN
ejpam-502	373	2	+	+	PROPN
ejpam-502	374	1	b	b	X
ejpam-502	374	2	,	,	PUNCT
ejpam-502	374	3	i	i	PROPN
ejpam-502	374	4	⊗	⊗	PROPN
ejpam-502	374	5	a2	a2	PROPN
ejpam-502	374	6	is	be	AUX
ejpam-502	374	7	closed	closed	ADJ
ejpam-502	374	8	and	and	CCONJ
ejpam-502	374	9	densely	densely	ADV
ejpam-502	374	10	defined	define	VERB
ejpam-502	374	11	.	.	PUNCT
ejpam-502	375	1	corollary	corollary	ADJ
ejpam-502	375	2	2	2	NUM
ejpam-502	375	3	.	.	PUNCT
ejpam-502	376	1	for	for	ADP
ejpam-502	376	2	every	every	DET
ejpam-502	376	3	0	0	NUM
ejpam-502	376	4	6=	6=	NUM
ejpam-502	376	5	(	(	PUNCT
ejpam-502	376	6	a	a	PRON
ejpam-502	376	7	,	,	PUNCT
ejpam-502	376	8	b	b	NOUN
ejpam-502	376	9	)	)	PUNCT
ejpam-502	376	10	∈	∈	NOUN
ejpam-502	376	11	r	r	NOUN
ejpam-502	376	12	+2	+2	PROPN
ejpam-502	376	13	the	the	DET
ejpam-502	376	14	linear	linear	PROPN
ejpam-502	376	15	operator	operator	NOUN
ejpam-502	376	16	aa1	aa1	PROPN
ejpam-502	377	1	⊗	⊗	PROPN
ejpam-502	378	1	i	i	PROPN
ejpam-502	378	2	+	+	PROPN
ejpam-502	379	1	b	b	X
ejpam-502	379	2	,	,	PUNCT
ejpam-502	379	3	i	i	PROPN
ejpam-502	379	4	⊗	⊗	PROPN
ejpam-502	379	5	a2	a2	PROPN
ejpam-502	379	6	is	be	AUX
ejpam-502	379	7	closable	closable	ADJ
ejpam-502	379	8	,	,	PUNCT
ejpam-502	379	9	densely	densely	ADV
ejpam-502	379	10	defined	define	VERB
ejpam-502	379	11	and	and	CCONJ
ejpam-502	379	12	its	its	PRON
ejpam-502	379	13	closure	closure	NOUN
ejpam-502	379	14	is	be	AUX
ejpam-502	379	15	aa1	aa1	PROPN
ejpam-502	380	1	⊗	⊗	PROPN
ejpam-502	380	2	i	i	PROPN
ejpam-502	381	1	+	+	PROPN
ejpam-502	381	2	b	b	X
ejpam-502	381	3	,	,	PUNCT
ejpam-502	381	4	i	i	PROPN
ejpam-502	381	5	⊗	⊗	PROPN
ejpam-502	381	6	a2	a2	PROPN
ejpam-502	381	7	.	.	PUNCT
ejpam-502	382	1	proof	proof	NOUN
ejpam-502	382	2	.	.	PUNCT
ejpam-502	383	1	being	be	AUX
ejpam-502	383	2	closable	closable	ADJ
ejpam-502	383	3	is	be	AUX
ejpam-502	383	4	proved	prove	VERB
ejpam-502	383	5	in	in	ADP
ejpam-502	383	6	[	[	X
ejpam-502	383	7	6	6	NUM
ejpam-502	383	8	]	]	PUNCT
ejpam-502	383	9	.	.	PUNCT
ejpam-502	384	1	since	since	SCONJ
ejpam-502	384	2	d	d	PROPN
ejpam-502	384	3	�	�	PROPN
ejpam-502	384	4	aa1	aa1	PROPN
ejpam-502	385	1	⊗	⊗	PROPN
ejpam-502	386	1	i	i	PROPN
ejpam-502	387	1	+	+	PROPN
ejpam-502	388	1	b	b	X
ejpam-502	388	2	,	,	PUNCT
ejpam-502	388	3	i	i	PROPN
ejpam-502	388	4	⊗	⊗	PROPN
ejpam-502	388	5	a2	a2	PROPN
ejpam-502	388	6	�	�	PROPN
ejpam-502	388	7	=	=	SYM
ejpam-502	388	8	�	�	PROPN
ejpam-502	388	9	d	d	PROPN
ejpam-502	388	10	�	�	PROPN
ejpam-502	388	11	a1	a1	PROPN
ejpam-502	388	12	�	�	PROPN
ejpam-502	388	13	⊗	⊗	PROPN
ejpam-502	388	14	y	y	PROPN
ejpam-502	388	15	�	�	PROPN
ejpam-502	388	16	∩	∩	PROPN
ejpam-502	388	17	�	�	PROPN
ejpam-502	388	18	x	x	SYM
ejpam-502	388	19	⊗d	⊗d	PROPN
ejpam-502	388	20	�	�	PROPN
ejpam-502	388	21	,	,	PUNCT
ejpam-502	388	22	a2	a2	PROPN
ejpam-502	388	23	�	�	PROPN
ejpam-502	388	24	�	�	PROPN
ejpam-502	388	25	=	=	SYM
ejpam-502	388	26	d	d	PROPN
ejpam-502	388	27	�	�	PROPN
ejpam-502	388	28	a1	a1	PROPN
ejpam-502	388	29	�	�	PROPN
ejpam-502	388	30	⊗d	⊗d	PROPN
ejpam-502	388	31	�	�	PROPN
ejpam-502	388	32	,	,	PUNCT
ejpam-502	388	33	a2	a2	PROPN
ejpam-502	388	34	�	�	PROPN
ejpam-502	388	35	,	,	PUNCT
ejpam-502	388	36	r.	r.	PROPN
ejpam-502	388	37	khalil	khalil	PROPN
ejpam-502	388	38	,	,	PUNCT
ejpam-502	388	39	r.	r.	PROPN
ejpam-502	388	40	al	al	PROPN
ejpam-502	388	41	-	-	PUNCT
ejpam-502	388	42	mirbati	mirbati	PROPN
ejpam-502	388	43	,	,	PUNCT
ejpam-502	388	44	d.	d.	PROPN
ejpam-502	388	45	drissi	drissi	PROPN
ejpam-502	388	46	/	/	PUNCT
ejpam-502	388	47	eur	eur	PROPN
ejpam-502	388	48	.	.	PUNCT
ejpam-502	389	1	j.	j.	PROPN
ejpam-502	389	2	pure	pure	PROPN
ejpam-502	389	3	appl	appl	PROPN
ejpam-502	389	4	.	.	PROPN
ejpam-502	389	5	math	math	PROPN
ejpam-502	389	6	,	,	PUNCT
ejpam-502	389	7	3	3	NUM
ejpam-502	389	8	(	(	PUNCT
ejpam-502	389	9	2010	2010	NUM
ejpam-502	389	10	)	)	PUNCT
ejpam-502	389	11	,	,	PUNCT
ejpam-502	389	12	881	881	NUM
ejpam-502	389	13	-	-	SYM
ejpam-502	389	14	898	898	NUM
ejpam-502	389	15	892	892	NUM
ejpam-502	389	16	and	and	CCONJ
ejpam-502	389	17	since	since	SCONJ
ejpam-502	389	18	a1,a2	a1,a2	PROPN
ejpam-502	389	19	are	be	AUX
ejpam-502	389	20	densely	densely	ADV
ejpam-502	389	21	defined	define	VERB
ejpam-502	389	22	in	in	ADP
ejpam-502	389	23	x	x	X
ejpam-502	389	24	,	,	PUNCT
ejpam-502	389	25	y	y	PROPN
ejpam-502	389	26	respectively	respectively	ADV
ejpam-502	389	27	,	,	PUNCT
ejpam-502	389	28	one	one	PRON
ejpam-502	389	29	can	can	AUX
ejpam-502	389	30	show	show	VERB
ejpam-502	389	31	that	that	SCONJ
ejpam-502	389	32	the	the	DET
ejpam-502	389	33	subspace	subspace	PROPN
ejpam-502	389	34	d	d	PROPN
ejpam-502	389	35	�	�	PROPN
ejpam-502	389	36	a1	a1	PROPN
ejpam-502	389	37	�	�	PROPN
ejpam-502	389	38	⊗d	⊗d	PROPN
ejpam-502	389	39	�	�	PROPN
ejpam-502	389	40	,	,	PUNCT
ejpam-502	389	41	a2	a2	PROPN
ejpam-502	389	42	�	�	PROPN
ejpam-502	389	43	is	be	AUX
ejpam-502	389	44	dense	dense	ADJ
ejpam-502	389	45	in	in	ADP
ejpam-502	389	46	x	x	PROPN
ejpam-502	389	47	⊗	⊗	PROPN
ejpam-502	389	48	y	y	PROPN
ejpam-502	389	49	,	,	PUNCT
ejpam-502	389	50	which	which	PRON
ejpam-502	389	51	is	be	AUX
ejpam-502	389	52	in	in	ADP
ejpam-502	389	53	turn	turn	NOUN
ejpam-502	389	54	dense	dense	ADJ
ejpam-502	389	55	in	in	ADP
ejpam-502	389	56	x	x	SYM
ejpam-502	389	57	α⊗	α⊗	PROPN
ejpam-502	389	58	y	y	PROPN
ejpam-502	389	59	.	.	PUNCT
ejpam-502	390	1	thus	thus	ADV
ejpam-502	390	2	aa1⊗	aa1⊗	X
ejpam-502	391	1	i	i	PRON
ejpam-502	391	2	+	+	PROPN
ejpam-502	391	3	b	b	X
ejpam-502	391	4	,	,	PUNCT
ejpam-502	391	5	i	i	PRON
ejpam-502	391	6	⊗a2	⊗a2	PROPN
ejpam-502	391	7	is	be	AUX
ejpam-502	391	8	densely	densely	ADV
ejpam-502	391	9	defined	define	VERB
ejpam-502	391	10	on	on	ADP
ejpam-502	391	11	x	x	SYM
ejpam-502	391	12	α⊗	α⊗	PROPN
ejpam-502	391	13	y	y	PROPN
ejpam-502	391	14	.	.	PUNCT
ejpam-502	392	1	so	so	ADV
ejpam-502	392	2	�	�	PROPN
ejpam-502	392	3	aa1	aa1	PROPN
ejpam-502	393	1	⊗	⊗	PROPN
ejpam-502	394	1	i	i	PROPN
ejpam-502	395	1	+	+	PROPN
ejpam-502	396	1	b	b	X
ejpam-502	396	2	,	,	PUNCT
ejpam-502	396	3	i	i	PROPN
ejpam-502	396	4	⊗	⊗	PROPN
ejpam-502	396	5	a2	a2	PROPN
ejpam-502	396	6	�	�	PROPN
ejpam-502	396	7	�	�	PROPN
ejpam-502	396	8	x	x	PROPN
ejpam-502	396	9	⊗	⊗	PROPN
ejpam-502	396	10	y	y	PROPN
ejpam-502	396	11	�	�	PROPN
ejpam-502	396	12	=	=	SYM
ejpam-502	396	13	�	�	PROPN
ejpam-502	396	14	aa1	aa1	PROPN
ejpam-502	397	1	⊗	⊗	PROPN
ejpam-502	398	1	i	i	PROPN
ejpam-502	399	1	+	+	PROPN
ejpam-502	400	1	b	b	X
ejpam-502	400	2	,	,	PUNCT
ejpam-502	400	3	i	i	PROPN
ejpam-502	400	4	⊗a2	⊗a2	PROPN
ejpam-502	400	5	�	�	PROPN
ejpam-502	400	6	�	�	PROPN
ejpam-502	400	7	x	x	SYM
ejpam-502	400	8	⊗	⊗	PROPN
ejpam-502	400	9	y	y	PROPN
ejpam-502	400	10	�	�	PROPN
ejpam-502	400	11	,	,	PUNCT
ejpam-502	400	12	for	for	ADP
ejpam-502	400	13	all	all	DET
ejpam-502	400	14	x	x	SYM
ejpam-502	400	15	⊗	⊗	PROPN
ejpam-502	400	16	y	y	PROPN
ejpam-502	400	17	∈d	∈d	PROPN
ejpam-502	400	18	�	�	PROPN
ejpam-502	400	19	a1	a1	PROPN
ejpam-502	400	20	�	�	PROPN
ejpam-502	400	21	⊗d	⊗d	PROPN
ejpam-502	400	22	�	�	PROPN
ejpam-502	400	23	,	,	PUNCT
ejpam-502	400	24	a2	a2	PROPN
ejpam-502	400	25	�	�	PROPN
ejpam-502	400	26	.	.	PUNCT
ejpam-502	401	1	that	that	PRON
ejpam-502	401	2	is	be	AUX
ejpam-502	401	3	�	�	PROPN
ejpam-502	401	4	aa1	aa1	PROPN
ejpam-502	402	1	⊗	⊗	PROPN
ejpam-502	403	1	i	i	PROPN
ejpam-502	404	1	+	+	PROPN
ejpam-502	405	1	b	b	X
ejpam-502	405	2	,	,	PUNCT
ejpam-502	405	3	i	i	PROPN
ejpam-502	405	4	⊗	⊗	PROPN
ejpam-502	405	5	a2	a2	PROPN
ejpam-502	405	6	�	�	PROPN
ejpam-502	405	7	|(x⊗y	|(x⊗y	ADJ
ejpam-502	405	8	)	)	PUNCT
ejpam-502	405	9	∩d(aa1⊗i+b	∩d(aa1⊗i+b	PROPN
ejpam-502	405	10	,	,	PUNCT
ejpam-502	405	11	i⊗a2	i⊗a2	PROPN
ejpam-502	405	12	)	)	PUNCT
ejpam-502	405	13	=	=	SYM
ejpam-502	406	1	aa1	aa1	PROPN
ejpam-502	407	1	⊗	⊗	PROPN
ejpam-502	407	2	i	i	PROPN
ejpam-502	408	1	+	+	CCONJ
ejpam-502	408	2	b	b	X
ejpam-502	408	3	,	,	PUNCT
ejpam-502	408	4	i	i	PROPN
ejpam-502	408	5	⊗	⊗	PROPN
ejpam-502	408	6	a2	a2	PROPN
ejpam-502	408	7	.	.	PUNCT
ejpam-502	409	1	therefore	therefore	ADV
ejpam-502	409	2	,	,	PUNCT
ejpam-502	409	3	b	b	X
ejpam-502	409	4	=	=	SYM
ejpam-502	409	5	aa1	aa1	PROPN
ejpam-502	410	1	⊗	⊗	PROPN
ejpam-502	410	2	i	i	PROPN
ejpam-502	411	1	+	+	CCONJ
ejpam-502	412	1	b	b	X
ejpam-502	412	2	,	,	PUNCT
ejpam-502	412	3	i	i	PROPN
ejpam-502	412	4	⊗	⊗	PROPN
ejpam-502	412	5	a2	a2	PROPN
ejpam-502	412	6	is	be	AUX
ejpam-502	412	7	an	an	DET
ejpam-502	412	8	extension	extension	NOUN
ejpam-502	412	9	of	of	ADP
ejpam-502	412	10	a=	a=	ADJ
ejpam-502	412	11	aa1⊗	aa1⊗	NOUN
ejpam-502	412	12	i+	i+	NUM
ejpam-502	412	13	b	b	X
ejpam-502	412	14	,	,	PUNCT
ejpam-502	412	15	i	i	PRON
ejpam-502	412	16	⊗a2	⊗a2	NOUN
ejpam-502	412	17	from	from	ADP
ejpam-502	412	18	the	the	DET
ejpam-502	412	19	subspace	subspace	NOUN
ejpam-502	412	20	d	d	PROPN
ejpam-502	412	21	�	�	PROPN
ejpam-502	412	22	a1	a1	PROPN
ejpam-502	412	23	�	�	PROPN
ejpam-502	412	24	⊗d	⊗d	PROPN
ejpam-502	412	25	�	�	PROPN
ejpam-502	412	26	,a2	,a2	PUNCT
ejpam-502	412	27	�	�	PROPN
ejpam-502	412	28	to	to	ADP
ejpam-502	412	29	d	d	PROPN
ejpam-502	412	30	(	(	PUNCT
ejpam-502	412	31	b	b	NOUN
ejpam-502	412	32	)	)	PUNCT
ejpam-502	412	33	.	.	PUNCT
ejpam-502	413	1	from	from	ADP
ejpam-502	413	2	corollary	corollary	ADJ
ejpam-502	413	3	1	1	NUM
ejpam-502	413	4	,	,	PUNCT
ejpam-502	413	5	b	b	NOUN
ejpam-502	413	6	is	be	AUX
ejpam-502	413	7	a	a	DET
ejpam-502	413	8	closed	closed	ADJ
ejpam-502	413	9	extension	extension	NOUN
ejpam-502	413	10	of	of	ADP
ejpam-502	413	11	a.	a.	NOUN
ejpam-502	413	12	since	since	SCONJ
ejpam-502	413	13	a	a	PRON
ejpam-502	413	14	is	be	AUX
ejpam-502	413	15	closable	closable	ADJ
ejpam-502	413	16	,	,	PUNCT
ejpam-502	413	17	and	and	CCONJ
ejpam-502	413	18	the	the	DET
ejpam-502	413	19	closure	closure	NOUN
ejpam-502	413	20	is	be	AUX
ejpam-502	413	21	the	the	DET
ejpam-502	413	22	smallest	small	ADJ
ejpam-502	413	23	closed	closed	ADJ
ejpam-502	413	24	extension	extension	NOUN
ejpam-502	413	25	,	,	PUNCT
ejpam-502	413	26	a	a	DET
ejpam-502	413	27	⊂	⊂	PROPN
ejpam-502	413	28	b.	b.	PROPN
ejpam-502	413	29	on	on	ADP
ejpam-502	413	30	the	the	DET
ejpam-502	413	31	other	other	ADJ
ejpam-502	413	32	hand	hand	NOUN
ejpam-502	413	33	,	,	PUNCT
ejpam-502	413	34	a	a	PRON
ejpam-502	413	35	is	be	AUX
ejpam-502	413	36	closable	closable	ADJ
ejpam-502	413	37	,	,	PUNCT
ejpam-502	413	38	and	and	CCONJ
ejpam-502	413	39	the	the	DET
ejpam-502	413	40	closure	closure	NOUN
ejpam-502	413	41	of	of	ADP
ejpam-502	413	42	a	a	DET
ejpam-502	413	43	closable	closable	ADJ
ejpam-502	413	44	operator	operator	NOUN
ejpam-502	413	45	is	be	AUX
ejpam-502	413	46	its	its	PRON
ejpam-502	413	47	maximal	maximal	ADJ
ejpam-502	413	48	extension	extension	NOUN
ejpam-502	413	49	.	.	PUNCT
ejpam-502	414	1	thus	thus	ADV
ejpam-502	414	2	b	b	X
ejpam-502	414	3	⊂	⊂	ADJ
ejpam-502	414	4	a.	a.	NOUN
ejpam-502	414	5	hence	hence	ADV
ejpam-502	414	6	a	a	DET
ejpam-502	414	7	=	=	X
ejpam-502	414	8	b	b	NOUN
ejpam-502	414	9	completes	complete	VERB
ejpam-502	414	10	the	the	DET
ejpam-502	414	11	proof	proof	NOUN
ejpam-502	414	12	of	of	ADP
ejpam-502	414	13	the	the	DET
ejpam-502	414	14	corollary	corollary	ADJ
ejpam-502	414	15	.	.	PUNCT
ejpam-502	415	1	corollary	corollary	ADJ
ejpam-502	415	2	3	3	NUM
ejpam-502	415	3	.	.	PUNCT
ejpam-502	416	1	let	let	VERB
ejpam-502	416	2	(	(	PUNCT
ejpam-502	416	3	t	t	PROPN
ejpam-502	416	4	(	(	PUNCT
ejpam-502	416	5	s)⊗	s)⊗	PROPN
ejpam-502	416	6	s(t))s	s(t))s	PROPN
ejpam-502	416	7	,	,	PUNCT
ejpam-502	416	8	t≥0	t≥0	NOUN
ejpam-502	416	9	be	be	AUX
ejpam-502	416	10	a	a	DET
ejpam-502	416	11	c0	c0	PROPN
ejpam-502	416	12	t.p.s	t.p.s	PROPN
ejpam-502	416	13	.	.	PUNCT
ejpam-502	417	1	on	on	ADP
ejpam-502	417	2	x	x	SYM
ejpam-502	417	3	α⊗	α⊗	PROPN
ejpam-502	417	4	y	y	PROPN
ejpam-502	417	5	,	,	PUNCT
ejpam-502	417	6	with	with	ADP
ejpam-502	417	7	infinitesimal	infinitesimal	ADJ
ejpam-502	417	8	generator	generator	NOUN
ejpam-502	417	9	�	�	PROPN
ejpam-502	417	10	a1	a1	PROPN
ejpam-502	418	1	⊗	⊗	PROPN
ejpam-502	418	2	i	i	PRON
ejpam-502	418	3	,	,	PUNCT
ejpam-502	418	4	i	i	PROPN
ejpam-502	418	5	⊗	⊗	PROPN
ejpam-502	418	6	a2	a2	PROPN
ejpam-502	418	7	�	�	PROPN
ejpam-502	418	8	and	and	CCONJ
ejpam-502	418	9	0	0	NUM
ejpam-502	418	10	6=	6=	NUM
ejpam-502	418	11	(	(	PUNCT
ejpam-502	418	12	a	a	DET
ejpam-502	418	13	,	,	PUNCT
ejpam-502	418	14	b	b	NOUN
ejpam-502	418	15	)	)	PUNCT
ejpam-502	418	16	∈r+2	∈r+2	X
ejpam-502	418	17	.	.	PUNCT
ejpam-502	419	1	then	then	ADV
ejpam-502	419	2	the	the	DET
ejpam-502	419	3	infinitesimal	infinitesimal	ADJ
ejpam-502	419	4	generator	generator	NOUN
ejpam-502	419	5	of	of	ADP
ejpam-502	419	6	the	the	DET
ejpam-502	419	7	one	one	NUM
ejpam-502	419	8	parameter	parameter	NOUN
ejpam-502	419	9	c0	c0	PROPN
ejpam-502	419	10	semigroup	semigroup	PROPN
ejpam-502	419	11	(	(	PUNCT
ejpam-502	419	12	t	t	PROPN
ejpam-502	419	13	(	(	PUNCT
ejpam-502	419	14	as)⊗	as)⊗	PROPN
ejpam-502	419	15	s	s	PART
ejpam-502	419	16	(	(	PUNCT
ejpam-502	419	17	bs))s≥o	bs))s≥o	NOUN
ejpam-502	419	18	is	be	AUX
ejpam-502	419	19	the	the	DET
ejpam-502	419	20	linear	linear	ADJ
ejpam-502	419	21	operator	operator	NOUN
ejpam-502	419	22	aa1	aa1	PROPN
ejpam-502	419	23	⊗	⊗	PROPN
ejpam-502	419	24	i+b	i+b	PROPN
ejpam-502	419	25	,	,	PUNCT
ejpam-502	419	26	i	i	PROPN
ejpam-502	419	27	⊗	⊗	PROPN
ejpam-502	419	28	a2	a2	PROPN
ejpam-502	419	29	=	=	PUNCT
ejpam-502	419	30	a	a	DET
ejpam-502	419	31	�	�	PROPN
ejpam-502	419	32	a1	a1	NOUN
ejpam-502	420	1	⊗	⊗	PROPN
ejpam-502	420	2	i	i	PROPN
ejpam-502	420	3	�	�	PROPN
ejpam-502	421	1	+	+	CCONJ
ejpam-502	422	1	b	b	PROPN
ejpam-502	422	2	�	�	PROPN
ejpam-502	422	3	i	i	PROPN
ejpam-502	422	4	⊗	⊗	PROPN
ejpam-502	422	5	a2	a2	PROPN
ejpam-502	422	6	�	�	PROPN
ejpam-502	422	7	.	.	PUNCT
ejpam-502	423	1	as	as	ADP
ejpam-502	423	2	a	a	DET
ejpam-502	423	3	consequence	consequence	NOUN
ejpam-502	423	4	of	of	ADP
ejpam-502	423	5	corollary	corollary	ADJ
ejpam-502	423	6	3	3	NUM
ejpam-502	423	7	,	,	PUNCT
ejpam-502	423	8	we	we	PRON
ejpam-502	423	9	obtain	obtain	VERB
ejpam-502	423	10	nagel	nagel	PROPN
ejpam-502	423	11	’s	’s	PART
ejpam-502	423	12	result	result	NOUN
ejpam-502	424	1	[	[	X
ejpam-502	424	2	1	1	NUM
ejpam-502	424	3	,	,	PUNCT
ejpam-502	424	4	proposition	proposition	NOUN
ejpam-502	424	5	,	,	PUNCT
ejpam-502	424	6	sec	sec	PROPN
ejpam-502	424	7	.	.	PROPN
ejpam-502	424	8	3.7	3.7	NUM
ejpam-502	424	9	]	]	PUNCT
ejpam-502	424	10	.	.	PUNCT
ejpam-502	425	1	corollary	corollary	ADJ
ejpam-502	425	2	4	4	NUM
ejpam-502	425	3	.	.	PUNCT
ejpam-502	426	1	the	the	DET
ejpam-502	426	2	infinitesimal	infinitesimal	ADJ
ejpam-502	426	3	generator	generator	NOUN
ejpam-502	426	4	of	of	ADP
ejpam-502	426	5	the	the	DET
ejpam-502	426	6	one	one	NUM
ejpam-502	426	7	parameter	parameter	NOUN
ejpam-502	426	8	c0	c0	PROPN
ejpam-502	426	9	t.p.s	t.p.s	PROPN
ejpam-502	426	10	.	.	PUNCT
ejpam-502	427	1	(	(	PUNCT
ejpam-502	427	2	t	t	PROPN
ejpam-502	427	3	(	(	PUNCT
ejpam-502	427	4	t	t	PROPN
ejpam-502	427	5	)	)	PUNCT
ejpam-502	427	6	⊗	⊗	PROPN
ejpam-502	427	7	s	s	PART
ejpam-502	427	8	(	(	PUNCT
ejpam-502	427	9	t))t≥0	t))t≥0	PROPN
ejpam-502	427	10	,	,	PUNCT
ejpam-502	427	11	is	be	AUX
ejpam-502	427	12	(	(	PUNCT
ejpam-502	427	13	a1⊗	a1⊗	NOUN
ejpam-502	427	14	i	i	NOUN
ejpam-502	427	15	)	)	PUNCT
ejpam-502	428	1	+	+	CCONJ
ejpam-502	428	2	(	(	PUNCT
ejpam-502	428	3	i	i	PROPN
ejpam-502	428	4	⊗	⊗	PROPN
ejpam-502	428	5	a2	a2	PROPN
ejpam-502	428	6	)	)	PUNCT
ejpam-502	428	7	defined	define	VERB
ejpam-502	428	8	on	on	ADP
ejpam-502	428	9	the	the	DET
ejpam-502	428	10	core	core	NOUN
ejpam-502	428	11	d	d	PROPN
ejpam-502	428	12	�	�	PROPN
ejpam-502	428	13	a1	a1	PROPN
ejpam-502	428	14	�	�	PROPN
ejpam-502	428	15	⊗d	⊗d	PROPN
ejpam-502	428	16	�	�	PROPN
ejpam-502	428	17	a2	a2	PROPN
ejpam-502	428	18	�	�	PROPN
ejpam-502	428	19	of	of	ADP
ejpam-502	428	20	the	the	DET
ejpam-502	428	21	generator	generator	NOUN
ejpam-502	428	22	.	.	PUNCT
ejpam-502	429	1	proof	proof	NOUN
ejpam-502	429	2	.	.	PUNCT
ejpam-502	430	1	from	from	ADP
ejpam-502	430	2	corollary	corollary	ADJ
ejpam-502	430	3	3	3	NUM
ejpam-502	430	4	the	the	DET
ejpam-502	430	5	operator	operator	NOUN
ejpam-502	430	6	a	a	DET
ejpam-502	430	7	�	�	PROPN
ejpam-502	430	8	a1	a1	NOUN
ejpam-502	430	9	⊗	⊗	PROPN
ejpam-502	430	10	i	i	PROPN
ejpam-502	430	11	�	�	PROPN
ejpam-502	430	12	+	+	CCONJ
ejpam-502	430	13	b	b	PROPN
ejpam-502	430	14	,	,	PUNCT
ejpam-502	430	15	�	�	PROPN
ejpam-502	430	16	i	i	PROPN
ejpam-502	430	17	⊗	⊗	PROPN
ejpam-502	430	18	a2	a2	PROPN
ejpam-502	430	19	�	�	PROPN
ejpam-502	430	20	=	=	PROPN
ejpam-502	430	21	a	a	DET
ejpam-502	430	22	�	�	PROPN
ejpam-502	430	23	a1⊗	a1⊗	X
ejpam-502	430	24	i	i	PRON
ejpam-502	430	25	�	�	PROPN
ejpam-502	430	26	+	+	CCONJ
ejpam-502	430	27	b	b	PROPN
ejpam-502	430	28	�	�	PROPN
ejpam-502	430	29	i	i	PROPN
ejpam-502	430	30	⊗	⊗	PROPN
ejpam-502	430	31	a2	a2	PROPN
ejpam-502	430	32	�	�	PROPN
ejpam-502	430	33	generates	generate	VERB
ejpam-502	430	34	(	(	PUNCT
ejpam-502	430	35	t	t	PROPN
ejpam-502	430	36	(	(	PUNCT
ejpam-502	430	37	at)⊗	at)⊗	VERB
ejpam-502	430	38	s(bt))t≥0	s(bt))t≥0	NOUN
ejpam-502	430	39	.	.	PUNCT
ejpam-502	431	1	as	as	ADP
ejpam-502	431	2	a	a	DET
ejpam-502	431	3	particular	particular	ADJ
ejpam-502	431	4	case	case	NOUN
ejpam-502	431	5	take	take	NOUN
ejpam-502	431	6	(	(	PUNCT
ejpam-502	431	7	a	a	DET
ejpam-502	431	8	,	,	PUNCT
ejpam-502	431	9	b	b	NOUN
ejpam-502	431	10	)	)	PUNCT
ejpam-502	431	11	=	=	SYM
ejpam-502	431	12	(	(	PUNCT
ejpam-502	431	13	1,1	1,1	NUM
ejpam-502	431	14	)	)	PUNCT
ejpam-502	431	15	.	.	PUNCT
ejpam-502	432	1	then	then	ADV
ejpam-502	432	2	�	�	PROPN
ejpam-502	432	3	a1⊗	a1⊗	AUX
ejpam-502	432	4	i	i	PRON
ejpam-502	432	5	�	�	PROPN
ejpam-502	432	6	+	+	CCONJ
ejpam-502	432	7	�	�	PROPN
ejpam-502	432	8	i	i	PROPN
ejpam-502	432	9	⊗	⊗	PROPN
ejpam-502	432	10	a2	a2	PROPN
ejpam-502	432	11	�	�	PROPN
ejpam-502	432	12	is	be	AUX
ejpam-502	432	13	the	the	DET
ejpam-502	432	14	infinitesimal	infinitesimal	ADJ
ejpam-502	432	15	generator	generator	NOUN
ejpam-502	432	16	of	of	ADP
ejpam-502	432	17	the	the	DET
ejpam-502	432	18	one	one	NUM
ejpam-502	432	19	parameter	parameter	NOUN
ejpam-502	432	20	c0	c0	PROPN
ejpam-502	432	21	semigroup	semigroup	PROPN
ejpam-502	432	22	(	(	PUNCT
ejpam-502	432	23	t	t	PROPN
ejpam-502	432	24	(	(	PUNCT
ejpam-502	432	25	t	t	PROPN
ejpam-502	432	26	)	)	PUNCT
ejpam-502	432	27	⊗	⊗	PROPN
ejpam-502	432	28	s(t))t≥0	s(t))t≥0	PROPN
ejpam-502	432	29	.	.	PUNCT
ejpam-502	433	1	but	but	CCONJ
ejpam-502	433	2	�	�	PROPN
ejpam-502	433	3	a1	a1	NOUN
ejpam-502	433	4	⊗	⊗	PROPN
ejpam-502	433	5	i	i	PROPN
ejpam-502	433	6	�	�	PROPN
ejpam-502	434	1	+	+	CCONJ
ejpam-502	435	1	�	�	PROPN
ejpam-502	436	1	i	i	PROPN
ejpam-502	436	2	⊗	⊗	PROPN
ejpam-502	436	3	a2	a2	PROPN
ejpam-502	436	4	�	�	PROPN
ejpam-502	436	5	is	be	AUX
ejpam-502	436	6	defined	define	VERB
ejpam-502	436	7	on	on	ADP
ejpam-502	436	8	d	d	PROPN
ejpam-502	436	9	�	�	PROPN
ejpam-502	436	10	a1	a1	PROPN
ejpam-502	436	11	�	�	PROPN
ejpam-502	436	12	⊗d	⊗d	PROPN
ejpam-502	436	13	�	�	PROPN
ejpam-502	436	14	a2	a2	PROPN
ejpam-502	436	15	�	�	PROPN
ejpam-502	436	16	,	,	PUNCT
ejpam-502	436	17	which	which	PRON
ejpam-502	436	18	is	be	AUX
ejpam-502	436	19	a	a	DET
ejpam-502	436	20	core	core	NOUN
ejpam-502	436	21	for	for	ADP
ejpam-502	436	22	the	the	DET
ejpam-502	436	23	infinitesimal	infinitesimal	ADJ
ejpam-502	436	24	generator	generator	NOUN
ejpam-502	436	25	�	�	PROPN
ejpam-502	436	26	a1	a1	PROPN
ejpam-502	437	1	⊗	⊗	PROPN
ejpam-502	437	2	i	i	PROPN
ejpam-502	437	3	�	�	PROPN
ejpam-502	438	1	+	+	CCONJ
ejpam-502	438	2	�	�	PROPN
ejpam-502	438	3	i	i	PROPN
ejpam-502	438	4	⊗	⊗	PROPN
ejpam-502	438	5	a2	a2	PROPN
ejpam-502	438	6	�	�	PROPN
ejpam-502	438	7	definition	definition	NOUN
ejpam-502	438	8	3	3	X
ejpam-502	438	9	.	.	PUNCT
ejpam-502	439	1	let	let	VERB
ejpam-502	439	2	(	(	PUNCT
ejpam-502	439	3	t	t	PROPN
ejpam-502	439	4	(	(	PUNCT
ejpam-502	439	5	s))s≥0	s))s≥0	PROPN
ejpam-502	439	6	and	and	CCONJ
ejpam-502	439	7	(	(	PUNCT
ejpam-502	439	8	s(t))t≥0	s(t))t≥0	X
ejpam-502	439	9	be	be	AUX
ejpam-502	439	10	one	one	NUM
ejpam-502	439	11	parameter	parameter	NOUN
ejpam-502	439	12	c0	c0	NOUN
ejpam-502	439	13	semigroups	semigroup	VERB
ejpam-502	439	14	on	on	ADP
ejpam-502	439	15	the	the	DET
ejpam-502	439	16	banach	banach	NOUN
ejpam-502	439	17	spaces	space	NOUN
ejpam-502	439	18	x	x	PUNCT
ejpam-502	439	19	and	and	CCONJ
ejpam-502	439	20	y	y	PROPN
ejpam-502	439	21	respectively	respectively	ADV
ejpam-502	439	22	.	.	PUNCT
ejpam-502	440	1	for	for	ADP
ejpam-502	440	2	u=	u=	PROPN
ejpam-502	440	3	(	(	PUNCT
ejpam-502	440	4	a	a	DET
ejpam-502	440	5	,	,	PUNCT
ejpam-502	440	6	b	b	NOUN
ejpam-502	440	7	)	)	PUNCT
ejpam-502	440	8	∈r+2	∈r+2	PROPN
ejpam-502	440	9	,	,	PUNCT
ejpam-502	440	10	the	the	DET
ejpam-502	440	11	almost	almost	ADV
ejpam-502	440	12	directional	directional	ADJ
ejpam-502	440	13	derivative	derivative	ADJ
ejpam-502	440	14	a.du	a.du	PROPN
ejpam-502	440	15	of	of	ADP
ejpam-502	440	16	t	t	PROPN
ejpam-502	440	17	(	(	PUNCT
ejpam-502	440	18	s)⊗	s)⊗	PROPN
ejpam-502	440	19	s(t	s(t	PROPN
ejpam-502	440	20	)	)	PUNCT
ejpam-502	440	21	at	at	ADP
ejpam-502	440	22	(	(	PUNCT
ejpam-502	440	23	0,0	0,0	NOUN
ejpam-502	440	24	)	)	PUNCT
ejpam-502	440	25	is	be	AUX
ejpam-502	440	26	defined	define	VERB
ejpam-502	440	27	by	by	ADP
ejpam-502	440	28	d	d	PROPN
ejpam-502	440	29	�	�	PROPN
ejpam-502	440	30	a.du	a.du	PROPN
ejpam-502	440	31	�	�	PROPN
ejpam-502	440	32	t	t	PROPN
ejpam-502	440	33	(	(	PUNCT
ejpam-502	440	34	s	s	NOUN
ejpam-502	440	35	)	)	PUNCT
ejpam-502	440	36	α⊗	α⊗	NOUN
ejpam-502	440	37	s(t	s(t	PROPN
ejpam-502	440	38	)	)	PUNCT
ejpam-502	440	39	�	�	PROPN
ejpam-502	440	40	|(s	|(s	SYM
ejpam-502	440	41	,	,	PUNCT
ejpam-502	440	42	t)=(0,0	t)=(0,0	NOUN
ejpam-502	440	43	)	)	PUNCT
ejpam-502	440	44	�	�	PROPN
ejpam-502	440	45	=	=	PUNCT
ejpam-502	441	1			PROPN
ejpam-502	441	2			NOUN
ejpam-502	441	3	z	z	NOUN
ejpam-502	441	4	∈	∈	NOUN
ejpam-502	441	5	x	x	PUNCT
ejpam-502	441	6	α⊗	α⊗	NOUN
ejpam-502	441	7	y	y	NOUN
ejpam-502	441	8	:	:	PUNCT
ejpam-502	441	9	lim	lim	PROPN
ejpam-502	441	10	h→0	h→0	PROPN
ejpam-502	442	1	+	+	PROPN
ejpam-502	442	2	t	t	PROPN
ejpam-502	442	3	(	(	PUNCT
ejpam-502	442	4	ah	ah	INTJ
ejpam-502	442	5	)	)	PUNCT
ejpam-502	442	6	α⊗	α⊗	NOUN
ejpam-502	442	7	s	s	X
ejpam-502	442	8	(	(	PUNCT
ejpam-502	442	9	bh)z	bh)z	NOUN
ejpam-502	442	10	−	−	NOUN
ejpam-502	442	11	z	z	NOUN
ejpam-502	442	12	h	h	NOUN
ejpam-502	442	13	exists	exist	VERB
ejpam-502	442	14			PROPN
ejpam-502	442	15			PROPN
ejpam-502	442	16			PROPN
ejpam-502	442	17	r.	r.	PROPN
ejpam-502	442	18	khalil	khalil	PROPN
ejpam-502	442	19	,	,	PUNCT
ejpam-502	442	20	r.	r.	PROPN
ejpam-502	442	21	al	al	PROPN
ejpam-502	442	22	-	-	PUNCT
ejpam-502	442	23	mirbati	mirbati	PROPN
ejpam-502	442	24	,	,	PUNCT
ejpam-502	442	25	d.	d.	PROPN
ejpam-502	442	26	drissi	drissi	PROPN
ejpam-502	442	27	/	/	PUNCT
ejpam-502	442	28	eur	eur	PROPN
ejpam-502	442	29	.	.	PUNCT
ejpam-502	443	1	j.	j.	PROPN
ejpam-502	443	2	pure	pure	PROPN
ejpam-502	443	3	appl	appl	PROPN
ejpam-502	443	4	.	.	PROPN
ejpam-502	443	5	math	math	PROPN
ejpam-502	443	6	,	,	PUNCT
ejpam-502	443	7	3	3	NUM
ejpam-502	443	8	(	(	PUNCT
ejpam-502	443	9	2010	2010	NUM
ejpam-502	443	10	)	)	PUNCT
ejpam-502	443	11	,	,	PUNCT
ejpam-502	443	12	881	881	NUM
ejpam-502	443	13	-	-	SYM
ejpam-502	443	14	898	898	NUM
ejpam-502	443	15	893	893	NUM
ejpam-502	443	16	and	and	CCONJ
ejpam-502	443	17	�	�	PROPN
ejpam-502	443	18	a.du	a.du	PROPN
ejpam-502	443	19	�	�	PROPN
ejpam-502	443	20	t	t	PROPN
ejpam-502	443	21	(	(	PUNCT
ejpam-502	443	22	s	s	NOUN
ejpam-502	443	23	)	)	PUNCT
ejpam-502	443	24	α⊗	α⊗	NOUN
ejpam-502	443	25	s(t	s(t	PROPN
ejpam-502	443	26	)	)	PUNCT
ejpam-502	443	27	�	�	PROPN
ejpam-502	444	1	|	|	ADV
ejpam-502	444	2	(	(	PUNCT
ejpam-502	444	3	s	s	NOUN
ejpam-502	444	4	,	,	PUNCT
ejpam-502	444	5	t)=(0,0	t)=(0,0	NOUN
ejpam-502	444	6	)	)	PUNCT
ejpam-502	444	7	�	�	PROPN
ejpam-502	444	8	z	z	PROPN
ejpam-502	445	1	=	=	SYM
ejpam-502	445	2	lim	lim	PROPN
ejpam-502	445	3	h→0	h→0	PROPN
ejpam-502	446	1	+	+	CCONJ
ejpam-502	447	1	(	(	PUNCT
ejpam-502	447	2	t	t	PROPN
ejpam-502	447	3	(	(	PUNCT
ejpam-502	447	4	ah	ah	INTJ
ejpam-502	447	5	)	)	PUNCT
ejpam-502	447	6	α⊗	α⊗	PROPN
ejpam-502	447	7	s	s	PROPN
ejpam-502	447	8	(	(	PUNCT
ejpam-502	447	9	,	,	PUNCT
ejpam-502	447	10	bh))z	bh))z	PROPN
ejpam-502	447	11	−	−	PROPN
ejpam-502	448	1	z	z	NOUN
ejpam-502	448	2	h	h	NOUN
ejpam-502	448	3	it	it	PRON
ejpam-502	448	4	follows	follow	VERB
ejpam-502	448	5	from	from	ADP
ejpam-502	448	6	the	the	DET
ejpam-502	448	7	definition	definition	NOUN
ejpam-502	448	8	that	that	SCONJ
ejpam-502	448	9	the	the	DET
ejpam-502	448	10	almost	almost	ADV
ejpam-502	448	11	directional	directional	ADJ
ejpam-502	448	12	derivative	derivative	ADJ
ejpam-502	448	13	a.du	a.du	PROPN
ejpam-502	448	14	�	�	PROPN
ejpam-502	448	15	t	t	PROPN
ejpam-502	448	16	(	(	PUNCT
ejpam-502	448	17	s	s	NOUN
ejpam-502	448	18	)	)	PUNCT
ejpam-502	448	19	α⊗	α⊗	NOUN
ejpam-502	448	20	s(t	s(t	PROPN
ejpam-502	448	21	)	)	PUNCT
ejpam-502	448	22	�	�	PROPN
ejpam-502	448	23	|(s	|(s	SYM
ejpam-502	448	24	,	,	PUNCT
ejpam-502	448	25	t)=(0,0	t)=(0,0	NOUN
ejpam-502	448	26	)	)	PUNCT
ejpam-502	448	27	is	be	AUX
ejpam-502	448	28	the	the	DET
ejpam-502	448	29	infinitesimal	infinitesimal	ADJ
ejpam-502	448	30	generator	generator	NOUN
ejpam-502	448	31	of	of	ADP
ejpam-502	448	32	the	the	DET
ejpam-502	448	33	one	one	NUM
ejpam-502	448	34	parameter	parameter	NOUN
ejpam-502	448	35	c0	c0	PROPN
ejpam-502	448	36	semigroup	semigroup	PROPN
ejpam-502	448	37	(	(	PUNCT
ejpam-502	448	38	t	t	PROPN
ejpam-502	448	39	(	(	PUNCT
ejpam-502	448	40	at)⊗s	at)⊗s	X
ejpam-502	448	41	(	(	PUNCT
ejpam-502	448	42	,	,	PUNCT
ejpam-502	448	43	bt))t≥0	bt))t≥0	ADJ
ejpam-502	448	44	.	.	PUNCT
ejpam-502	449	1	further	far	ADV
ejpam-502	449	2	,	,	PUNCT
ejpam-502	449	3	for	for	ADP
ejpam-502	449	4	u=	u=	PROPN
ejpam-502	449	5	(	(	PUNCT
ejpam-502	449	6	a	a	PRON
ejpam-502	449	7	,	,	PUNCT
ejpam-502	449	8	b	b	NOUN
ejpam-502	449	9	)	)	PUNCT
ejpam-502	449	10	∈r+2	∈r+2	PROPN
ejpam-502	449	11	,	,	PUNCT
ejpam-502	449	12	a.du(t	a.du(t	PROPN
ejpam-502	449	13	(	(	PUNCT
ejpam-502	449	14	s	s	NOUN
ejpam-502	449	15	)	)	PUNCT
ejpam-502	449	16	α⊗s(t	α⊗s(t	NOUN
ejpam-502	449	17	)	)	PUNCT
ejpam-502	449	18	)	)	PUNCT
ejpam-502	450	1	|	|	ADV
ejpam-502	450	2	(	(	PUNCT
ejpam-502	450	3	s	s	NOUN
ejpam-502	450	4	,	,	PUNCT
ejpam-502	450	5	t)=(0,0	t)=(0,0	NOUN
ejpam-502	450	6	)	)	PUNCT
ejpam-502	450	7	=	=	SYM
ejpam-502	450	8	�	�	PROPN
ejpam-502	450	9	aa1	aa1	PROPN
ejpam-502	451	1	⊗	⊗	PROPN
ejpam-502	451	2	i	i	PRON
ejpam-502	452	1	+	+	CCONJ
ejpam-502	452	2	bi	bi	PROPN
ejpam-502	452	3	⊗	⊗	PROPN
ejpam-502	452	4	a2	a2	PROPN
ejpam-502	452	5	�	�	PROPN
ejpam-502	452	6	=	=	PROPN
ejpam-502	452	7	a	a	DET
ejpam-502	452	8	�	�	PROPN
ejpam-502	452	9	a1	a1	NOUN
ejpam-502	453	1	⊗	⊗	PROPN
ejpam-502	453	2	i	i	PROPN
ejpam-502	453	3	�	�	PROPN
ejpam-502	454	1	+	+	CCONJ
ejpam-502	455	1	b	b	PROPN
ejpam-502	455	2	�	�	PROPN
ejpam-502	455	3	i	i	PROPN
ejpam-502	455	4	⊗	⊗	PROPN
ejpam-502	455	5	a2	a2	PROPN
ejpam-502	455	6	�	�	PROPN
ejpam-502	455	7	.	.	PUNCT
ejpam-502	456	1	also	also	ADV
ejpam-502	456	2	,	,	PUNCT
ejpam-502	456	3	since	since	SCONJ
ejpam-502	456	4	∇	∇	X
ejpam-502	456	5	(	(	PUNCT
ejpam-502	456	6	t	t	PROPN
ejpam-502	456	7	(	(	PUNCT
ejpam-502	456	8	s)⊗	s)⊗	PROPN
ejpam-502	456	9	s(t	s(t	PROPN
ejpam-502	456	10	)	)	PUNCT
ejpam-502	456	11	)	)	PUNCT
ejpam-502	457	1	=	=	SYM
ejpam-502	457	2	∂	∂	NUM
ejpam-502	457	3	∂	∂	NUM
ejpam-502	457	4	s	s	PART
ejpam-502	457	5	t	t	NOUN
ejpam-502	457	6	(	(	PUNCT
ejpam-502	457	7	s)⊗	s)⊗	PROPN
ejpam-502	457	8	s(t)i	s(t)i	PROPN
ejpam-502	457	9	+	+	SYM
ejpam-502	457	10	∂	∂	NUM
ejpam-502	457	11	∂	∂	NUM
ejpam-502	457	12	t	t	PROPN
ejpam-502	457	13	t	t	PROPN
ejpam-502	457	14	(	(	PUNCT
ejpam-502	457	15	s)⊗	s)⊗	PROPN
ejpam-502	457	16	s(t	s(t	PROPN
ejpam-502	457	17	)	)	PUNCT
ejpam-502	457	18	j	j	PROPN
ejpam-502	457	19	,	,	PUNCT
ejpam-502	457	20	then	then	ADV
ejpam-502	457	21	for	for	ADP
ejpam-502	457	22	u	u	NOUN
ejpam-502	457	23	=	=	PUNCT
ejpam-502	457	24	(	(	PUNCT
ejpam-502	457	25	a	a	PRON
ejpam-502	457	26	,	,	PUNCT
ejpam-502	457	27	b	b	NOUN
ejpam-502	457	28	)	)	PUNCT
ejpam-502	457	29	∈r+2	∈r+2	X
ejpam-502	458	1	a.du(t	a.du(t	PROPN
ejpam-502	458	2	(	(	PUNCT
ejpam-502	458	3	s	s	NOUN
ejpam-502	458	4	)	)	PUNCT
ejpam-502	458	5	α⊗	α⊗	NOUN
ejpam-502	458	6	s(t	s(t	PROPN
ejpam-502	458	7	)	)	PUNCT
ejpam-502	458	8	)	)	PUNCT
ejpam-502	459	1	|	|	ADV
ejpam-502	459	2	(	(	PUNCT
ejpam-502	459	3	s	s	NOUN
ejpam-502	459	4	,	,	PUNCT
ejpam-502	459	5	t)=(0,0	t)=(0,0	NOUN
ejpam-502	459	6	)	)	PUNCT
ejpam-502	460	1	=	=	X
ejpam-502	460	2	∇t	∇t	PROPN
ejpam-502	460	3	(	(	PUNCT
ejpam-502	460	4	s)⊗	s)⊗	PROPN
ejpam-502	460	5	s(t	s(t	PROPN
ejpam-502	460	6	)	)	PUNCT
ejpam-502	460	7	|	|	CCONJ
ejpam-502	460	8	(	(	PUNCT
ejpam-502	460	9	s	s	NOUN
ejpam-502	460	10	,	,	PUNCT
ejpam-502	460	11	t)=(0,0	t)=(0,0	NOUN
ejpam-502	460	12	)	)	PUNCT
ejpam-502	460	13	.u	.u	PROPN
ejpam-502	460	14	.	.	PUNCT
ejpam-502	461	1	theorem	theorem	NOUN
ejpam-502	461	2	3	3	X
ejpam-502	461	3	.	.	PUNCT
ejpam-502	462	1	let	let	VERB
ejpam-502	462	2	(	(	PUNCT
ejpam-502	462	3	t	t	PROPN
ejpam-502	462	4	(	(	PUNCT
ejpam-502	462	5	t))t≥0	t))t≥0	PROPN
ejpam-502	462	6	and	and	CCONJ
ejpam-502	462	7	(	(	PUNCT
ejpam-502	462	8	s(t))t≥0	s(t))t≥0	PROPN
ejpam-502	462	9	be	be	AUX
ejpam-502	462	10	one	one	NUM
ejpam-502	462	11	parameter	parameter	NOUN
ejpam-502	462	12	c0	c0	NOUN
ejpam-502	462	13	semigroups	semigroup	VERB
ejpam-502	462	14	on	on	ADP
ejpam-502	462	15	banach	banach	NOUN
ejpam-502	462	16	spaces	space	NOUN
ejpam-502	462	17	x	x	PUNCT
ejpam-502	462	18	and	and	CCONJ
ejpam-502	462	19	y	y	PROPN
ejpam-502	462	20	with	with	ADP
ejpam-502	462	21	infinitesimal	infinitesimal	ADJ
ejpam-502	462	22	generators	generator	NOUN
ejpam-502	462	23	a1	a1	NOUN
ejpam-502	462	24	and	and	CCONJ
ejpam-502	462	25	a2	a2	PROPN
ejpam-502	462	26	respectively	respectively	ADV
ejpam-502	462	27	.	.	PUNCT
ejpam-502	463	1	then	then	ADV
ejpam-502	463	2	d	d	X
ejpam-502	463	3	(	(	PUNCT
ejpam-502	463	4	t	t	PROPN
ejpam-502	463	5	(	(	PUNCT
ejpam-502	463	6	s)⊗	s)⊗	PROPN
ejpam-502	463	7	s(t	s(t	PROPN
ejpam-502	463	8	)	)	PUNCT
ejpam-502	463	9	)	)	PUNCT
ejpam-502	463	10	�	�	PROPN
ejpam-502	463	11	a	a	DET
ejpam-502	463	12	b	b	PROPN
ejpam-502	463	13	�	�	PROPN
ejpam-502	463	14	�	�	PROPN
ejpam-502	463	15	x	x	PUNCT
ejpam-502	463	16	⊗	⊗	PROPN
ejpam-502	463	17	y	y	PROPN
ejpam-502	463	18	�	�	PROPN
ejpam-502	463	19	=	=	SYM
ejpam-502	463	20	�	�	PROPN
ejpam-502	463	21	a1	a1	NOUN
ejpam-502	464	1	⊗	⊗	PROPN
ejpam-502	464	2	i	i	PRON
ejpam-502	464	3	,	,	PUNCT
ejpam-502	464	4	i	i	PROPN
ejpam-502	464	5	⊗	⊗	PROPN
ejpam-502	464	6	a2	a2	PROPN
ejpam-502	464	7	�	�	PROPN
ejpam-502	464	8	�	�	PROPN
ejpam-502	464	9	a	a	DET
ejpam-502	464	10	b	b	PROPN
ejpam-502	464	11	�	�	PROPN
ejpam-502	464	12	(	(	PUNCT
ejpam-502	464	13	t	t	PROPN
ejpam-502	464	14	(	(	PUNCT
ejpam-502	464	15	s)⊗	s)⊗	PROPN
ejpam-502	464	16	s(t	s(t	PROPN
ejpam-502	464	17	)	)	PUNCT
ejpam-502	464	18	)	)	PUNCT
ejpam-502	464	19	�	�	PROPN
ejpam-502	464	20	x	x	PUNCT
ejpam-502	464	21	⊗	⊗	PROPN
ejpam-502	464	22	y	y	PROPN
ejpam-502	464	23	�	�	PROPN
ejpam-502	464	24	(	(	PUNCT
ejpam-502	464	25	2	2	NUM
ejpam-502	464	26	)	)	PUNCT
ejpam-502	464	27	for	for	ADP
ejpam-502	464	28	all	all	PRON
ejpam-502	464	29	(	(	PUNCT
ejpam-502	464	30	a	a	DET
ejpam-502	464	31	,	,	PUNCT
ejpam-502	464	32	b	b	NOUN
ejpam-502	464	33	)	)	PUNCT
ejpam-502	464	34	∈r+2	∈r+2	X
ejpam-502	464	35	,	,	PUNCT
ejpam-502	464	36	all	all	PRON
ejpam-502	464	37	x	x	PUNCT
ejpam-502	464	38	∈d	∈d	NOUN
ejpam-502	464	39	�	�	PROPN
ejpam-502	464	40	a1	a1	NOUN
ejpam-502	464	41	�	�	PROPN
ejpam-502	464	42	and	and	CCONJ
ejpam-502	464	43	y	y	PROPN
ejpam-502	464	44	∈d	∈d	PROPN
ejpam-502	464	45	�	�	PROPN
ejpam-502	464	46	a2	a2	PROPN
ejpam-502	464	47	�	�	PROPN
ejpam-502	464	48	.	.	PUNCT
ejpam-502	465	1	proof	proof	NOUN
ejpam-502	465	2	.	.	PUNCT
ejpam-502	466	1	let	let	VERB
ejpam-502	466	2	(	(	PUNCT
ejpam-502	466	3	a	a	DET
ejpam-502	466	4	,	,	PUNCT
ejpam-502	466	5	b	b	NOUN
ejpam-502	466	6	)	)	PUNCT
ejpam-502	466	7	∈r+2	∈r+2	X
ejpam-502	466	8	,	,	PUNCT
ejpam-502	466	9	x	x	SYM
ejpam-502	466	10	∈d	∈d	NOUN
ejpam-502	466	11	�	�	PROPN
ejpam-502	466	12	a1	a1	NOUN
ejpam-502	466	13	�	�	PROPN
ejpam-502	466	14	,	,	PUNCT
ejpam-502	466	15	and	and	CCONJ
ejpam-502	466	16	y	y	PROPN
ejpam-502	466	17	∈d	∈d	PROPN
ejpam-502	466	18	�	�	PROPN
ejpam-502	466	19	a2	a2	PROPN
ejpam-502	466	20	�	�	PROPN
ejpam-502	466	21	.	.	PUNCT
ejpam-502	467	1	then	then	ADV
ejpam-502	467	2	d(t	d(t	PROPN
ejpam-502	467	3	(	(	PUNCT
ejpam-502	467	4	s)⊗s(t	s)⊗s(t	NOUN
ejpam-502	467	5	)	)	PUNCT
ejpam-502	467	6	)	)	PUNCT
ejpam-502	467	7	as	as	ADP
ejpam-502	467	8	a	a	DET
ejpam-502	467	9	function	function	NOUN
ejpam-502	467	10	of	of	ADP
ejpam-502	467	11	two	two	NUM
ejpam-502	467	12	variables	variable	NOUN
ejpam-502	467	13	is	be	AUX
ejpam-502	467	14	given	give	VERB
ejpam-502	467	15	by	by	ADP
ejpam-502	467	16	(	(	PUNCT
ejpam-502	467	17	d(t	d(t	PROPN
ejpam-502	467	18	(	(	PUNCT
ejpam-502	467	19	s)⊗	s)⊗	PROPN
ejpam-502	467	20	s(t	s(t	PROPN
ejpam-502	467	21	)	)	PUNCT
ejpam-502	467	22	)	)	PUNCT
ejpam-502	467	23	)	)	PUNCT
ejpam-502	468	1	�	�	PROPN
ejpam-502	468	2	a	a	DET
ejpam-502	468	3	b	b	PROPN
ejpam-502	468	4	�	�	PROPN
ejpam-502	468	5	�	�	PROPN
ejpam-502	468	6	x	x	PUNCT
ejpam-502	468	7	⊗	⊗	PROPN
ejpam-502	468	8	y	y	PROPN
ejpam-502	468	9	�	�	PROPN
ejpam-502	468	10	=	=	SYM
ejpam-502	468	11	�	�	PROPN
ejpam-502	468	12	∂	∂	NUM
ejpam-502	468	13	∂	∂	NUM
ejpam-502	468	14	s	s	PART
ejpam-502	468	15	(	(	PUNCT
ejpam-502	468	16	t	t	PROPN
ejpam-502	468	17	(	(	PUNCT
ejpam-502	468	18	s)⊗	s)⊗	PROPN
ejpam-502	468	19	s(t	s(t	PROPN
ejpam-502	468	20	)	)	PUNCT
ejpam-502	468	21	)	)	PUNCT
ejpam-502	468	22	,	,	PUNCT
ejpam-502	468	23	∂	∂	NUM
ejpam-502	468	24	∂	∂	NUM
ejpam-502	468	25	t	t	PROPN
ejpam-502	468	26	(	(	PUNCT
ejpam-502	468	27	t	t	PROPN
ejpam-502	468	28	(	(	PUNCT
ejpam-502	468	29	s)⊗	s)⊗	PROPN
ejpam-502	468	30	s(t	s(t	PROPN
ejpam-502	468	31	)	)	PUNCT
ejpam-502	468	32	)	)	PUNCT
ejpam-502	468	33	�	�	PROPN
ejpam-502	468	34	�	�	PROPN
ejpam-502	468	35	a	a	DET
ejpam-502	468	36	b	b	PROPN
ejpam-502	468	37	�	�	PROPN
ejpam-502	468	38	�	�	PROPN
ejpam-502	468	39	x	x	PUNCT
ejpam-502	468	40	⊗	⊗	PROPN
ejpam-502	468	41	y	y	PROPN
ejpam-502	468	42	�	�	PROPN
ejpam-502	468	43	=	=	SYM
ejpam-502	468	44	�	�	PROPN
ejpam-502	468	45	a	a	DET
ejpam-502	468	46	∂	∂	NOUN
ejpam-502	468	47	∂	∂	NUM
ejpam-502	468	48	s	s	PART
ejpam-502	468	49	(	(	PUNCT
ejpam-502	468	50	t	t	PROPN
ejpam-502	468	51	(	(	PUNCT
ejpam-502	468	52	s)⊗	s)⊗	PROPN
ejpam-502	468	53	s(t	s(t	PROPN
ejpam-502	468	54	)	)	PUNCT
ejpam-502	468	55	)	)	PUNCT
ejpam-502	469	1	+	+	CCONJ
ejpam-502	469	2	b	b	X
ejpam-502	469	3	∂	∂	NUM
ejpam-502	469	4	∂	∂	NUM
ejpam-502	469	5	t	t	NOUN
ejpam-502	469	6	(	(	PUNCT
ejpam-502	469	7	t	t	PROPN
ejpam-502	469	8	(	(	PUNCT
ejpam-502	469	9	s)⊗	s)⊗	PROPN
ejpam-502	469	10	s(t	s(t	PROPN
ejpam-502	469	11	)	)	PUNCT
ejpam-502	469	12	)	)	PUNCT
ejpam-502	469	13	�	�	PROPN
ejpam-502	469	14	�	�	PROPN
ejpam-502	469	15	x	x	SYM
ejpam-502	469	16	⊗	⊗	PROPN
ejpam-502	469	17	y	y	PROPN
ejpam-502	469	18	�	�	PROPN
ejpam-502	469	19	=	=	SYM
ejpam-502	469	20	�	�	PROPN
ejpam-502	469	21	a	a	DET
ejpam-502	469	22	d	d	X
ejpam-502	469	23	(	(	PUNCT
ejpam-502	469	24	t	t	PROPN
ejpam-502	469	25	(	(	PUNCT
ejpam-502	469	26	s)⊗	s)⊗	PROPN
ejpam-502	469	27	i	i	PROPN
ejpam-502	469	28	)	)	PUNCT
ejpam-502	469	29	ds	ds	PROPN
ejpam-502	469	30	(	(	PUNCT
ejpam-502	469	31	i	i	PROPN
ejpam-502	469	32	⊗	⊗	PROPN
ejpam-502	469	33	s(t	s(t	PROPN
ejpam-502	469	34	)	)	PUNCT
ejpam-502	469	35	)	)	PUNCT
ejpam-502	470	1	+	+	PUNCT
ejpam-502	471	1	b	b	X
ejpam-502	471	2	d	d	NOUN
ejpam-502	471	3	(	(	PUNCT
ejpam-502	471	4	i	i	PROPN
ejpam-502	471	5	⊗	⊗	PROPN
ejpam-502	471	6	s(t	s(t	PROPN
ejpam-502	471	7	)	)	PUNCT
ejpam-502	471	8	)	)	PUNCT
ejpam-502	472	1	d	d	X
ejpam-502	472	2	t	t	PROPN
ejpam-502	472	3	(	(	PUNCT
ejpam-502	472	4	t	t	PROPN
ejpam-502	472	5	(	(	PUNCT
ejpam-502	472	6	s)⊗	s)⊗	PROPN
ejpam-502	472	7	i	i	PROPN
ejpam-502	472	8	)	)	PUNCT
ejpam-502	472	9	�	�	PROPN
ejpam-502	472	10	�	�	PROPN
ejpam-502	472	11	x	x	PROPN
ejpam-502	472	12	⊗	⊗	PROPN
ejpam-502	472	13	y	y	PROPN
ejpam-502	472	14	�	�	PROPN
ejpam-502	472	15	.	.	PUNCT
ejpam-502	473	1	then	then	ADV
ejpam-502	473	2	,	,	PUNCT
ejpam-502	473	3	by	by	ADP
ejpam-502	473	4	lemma	lemma	PROPN
ejpam-502	473	5	2	2	PROPN
ejpam-502	473	6	-	-	PUNCT
ejpam-502	473	7	c	c	NOUN
ejpam-502	473	8	,	,	PUNCT
ejpam-502	473	9	theorem	theorem	VERB
ejpam-502	473	10	2	2	NUM
ejpam-502	473	11	and	and	CCONJ
ejpam-502	473	12	lemma	lemma	PROPN
ejpam-502	473	13	6	6	NUM
ejpam-502	473	14	we	we	PRON
ejpam-502	473	15	have	have	AUX
ejpam-502	473	16	(	(	PUNCT
ejpam-502	473	17	d(t	d(t	PROPN
ejpam-502	473	18	(	(	PUNCT
ejpam-502	473	19	s)⊗	s)⊗	PROPN
ejpam-502	473	20	s(t	s(t	PROPN
ejpam-502	473	21	)	)	PUNCT
ejpam-502	473	22	)	)	PUNCT
ejpam-502	473	23	)	)	PUNCT
ejpam-502	474	1	�	�	PROPN
ejpam-502	474	2	a	a	DET
ejpam-502	474	3	b	b	PROPN
ejpam-502	474	4	�	�	PROPN
ejpam-502	474	5	�	�	PROPN
ejpam-502	474	6	x	x	PUNCT
ejpam-502	474	7	⊗	⊗	PROPN
ejpam-502	474	8	y	y	PROPN
ejpam-502	474	9	�	�	PROPN
ejpam-502	474	10	=	=	PROPN
ejpam-502	474	11	a	a	DET
ejpam-502	474	12	�	�	PROPN
ejpam-502	474	13	�	�	PROPN
ejpam-502	474	14	a1⊗	a1⊗	NOUN
ejpam-502	474	15	i	i	PRON
ejpam-502	474	16	�	�	PROPN
ejpam-502	474	17	(	(	PUNCT
ejpam-502	474	18	t	t	PROPN
ejpam-502	474	19	(	(	PUNCT
ejpam-502	474	20	s)⊗	s)⊗	PROPN
ejpam-502	474	21	i	i	PROPN
ejpam-502	474	22	)	)	PUNCT
ejpam-502	474	23	�	�	PROPN
ejpam-502	474	24	�	�	PROPN
ejpam-502	474	25	x	x	SYM
ejpam-502	474	26	⊗	⊗	PROPN
ejpam-502	474	27	s(t)y	s(t)y	PROPN
ejpam-502	474	28	�	�	PROPN
ejpam-502	475	1	+	+	NOUN
ejpam-502	475	2	b	b	PROPN
ejpam-502	475	3	�	�	PROPN
ejpam-502	475	4	�	�	PROPN
ejpam-502	475	5	,	,	PUNCT
ejpam-502	475	6	i	i	PROPN
ejpam-502	475	7	⊗	⊗	PROPN
ejpam-502	475	8	a2	a2	PROPN
ejpam-502	475	9	�	�	PROPN
ejpam-502	475	10	(	(	PUNCT
ejpam-502	475	11	i	i	PROPN
ejpam-502	475	12	⊗	⊗	PROPN
ejpam-502	475	13	s(t	s(t	PROPN
ejpam-502	475	14	)	)	PUNCT
ejpam-502	475	15	)	)	PUNCT
ejpam-502	475	16	�	�	PROPN
ejpam-502	475	17	�	�	PROPN
ejpam-502	475	18	t	t	PROPN
ejpam-502	475	19	(	(	PUNCT
ejpam-502	475	20	s)x	s)x	X
ejpam-502	475	21	⊗	⊗	PROPN
ejpam-502	475	22	y	y	PROPN
ejpam-502	475	23	�	�	PROPN
ejpam-502	475	24	=	=	PROPN
ejpam-502	475	25	a	a	DET
ejpam-502	475	26	�	�	PROPN
ejpam-502	475	27	a1⊗	a1⊗	X
ejpam-502	475	28	i	i	PRON
ejpam-502	475	29	�	�	PROPN
ejpam-502	475	30	�	�	PROPN
ejpam-502	475	31	t	t	PROPN
ejpam-502	475	32	(	(	PUNCT
ejpam-502	475	33	s)x	s)x	X
ejpam-502	476	1	⊗	⊗	PROPN
ejpam-502	476	2	s(t)y	s(t)y	PROPN
ejpam-502	476	3	�	�	PROPN
ejpam-502	476	4	+	+	CCONJ
ejpam-502	476	5	b	b	PROPN
ejpam-502	476	6	�	�	PROPN
ejpam-502	476	7	,	,	PUNCT
ejpam-502	476	8	i	i	PROPN
ejpam-502	476	9	⊗	⊗	PROPN
ejpam-502	476	10	a2	a2	PROPN
ejpam-502	476	11	�	�	PROPN
ejpam-502	476	12	�	�	PROPN
ejpam-502	476	13	t	t	PROPN
ejpam-502	476	14	(	(	PUNCT
ejpam-502	476	15	s)x	s)x	X
ejpam-502	476	16	⊗	⊗	PROPN
ejpam-502	476	17	s(t)y	s(t)y	PROPN
ejpam-502	476	18	�	�	PROPN
ejpam-502	476	19	=	=	SYM
ejpam-502	476	20	�	�	PROPN
ejpam-502	476	21	a1	a1	NOUN
ejpam-502	477	1	⊗	⊗	PROPN
ejpam-502	477	2	i	i	PRON
ejpam-502	477	3	,	,	PUNCT
ejpam-502	477	4	i	i	PROPN
ejpam-502	477	5	⊗	⊗	PROPN
ejpam-502	477	6	a2	a2	PROPN
ejpam-502	477	7	�	�	PROPN
ejpam-502	477	8	�	�	PROPN
ejpam-502	477	9	a	a	DET
ejpam-502	477	10	b	b	PROPN
ejpam-502	477	11	�	�	PROPN
ejpam-502	477	12	(	(	PUNCT
ejpam-502	477	13	t	t	PROPN
ejpam-502	477	14	(	(	PUNCT
ejpam-502	477	15	s)⊗	s)⊗	PROPN
ejpam-502	477	16	s(t	s(t	PROPN
ejpam-502	477	17	)	)	PUNCT
ejpam-502	477	18	)	)	PUNCT
ejpam-502	477	19	�	�	PROPN
ejpam-502	477	20	x	x	PUNCT
ejpam-502	477	21	⊗	⊗	PROPN
ejpam-502	477	22	y	y	PROPN
ejpam-502	477	23	�	�	PROPN
ejpam-502	477	24	.	.	PUNCT
ejpam-502	478	1	which	which	PRON
ejpam-502	478	2	is	be	AUX
ejpam-502	478	3	(	(	PUNCT
ejpam-502	478	4	2	2	NUM
ejpam-502	478	5	)	)	PUNCT
ejpam-502	478	6	.	.	PUNCT
ejpam-502	479	1	as	as	ADP
ejpam-502	479	2	in	in	ADP
ejpam-502	479	3	the	the	DET
ejpam-502	479	4	classical	classical	ADJ
ejpam-502	479	5	case	case	NOUN
ejpam-502	479	6	,	,	PUNCT
ejpam-502	479	7	one	one	PRON
ejpam-502	479	8	can	can	AUX
ejpam-502	479	9	show	show	VERB
ejpam-502	479	10	the	the	DET
ejpam-502	479	11	existence	existence	NOUN
ejpam-502	479	12	of	of	ADP
ejpam-502	479	13	constants	constant	NOUN
ejpam-502	479	14	ω	ω	PROPN
ejpam-502	479	15	≥	≥	X
ejpam-502	479	16	0	0	NUM
ejpam-502	479	17	and	and	CCONJ
ejpam-502	479	18	m	m	PROPN
ejpam-502	479	19	≥	≥	NOUN
ejpam-502	479	20	1	1	NUM
ejpam-502	479	21	such	such	ADJ
ejpam-502	479	22	that	that	SCONJ
ejpam-502	479	23	t	t	PROPN
ejpam-502	479	24	(	(	PUNCT
ejpam-502	479	25	s	s	NOUN
ejpam-502	479	26	)	)	PUNCT
ejpam-502	479	27	α⊗	α⊗	NOUN
ejpam-502	479	28	s(t	s(t	PROPN
ejpam-502	479	29	)	)	PUNCT
ejpam-502	479	30	≤	≤	NUM
ejpam-502	479	31	meω(t+s	meω(t+s	PROPN
ejpam-502	479	32	)	)	PUNCT
ejpam-502	479	33	for	for	ADP
ejpam-502	479	34	s	s	PROPN
ejpam-502	479	35	,	,	PUNCT
ejpam-502	479	36	t	t	PROPN
ejpam-502	479	37	≥	≥	PROPN
ejpam-502	479	38	0	0	NUM
ejpam-502	479	39	.	.	PUNCT
ejpam-502	479	40	r.	r.	PROPN
ejpam-502	479	41	khalil	khalil	PROPN
ejpam-502	479	42	,	,	PUNCT
ejpam-502	479	43	r.	r.	PROPN
ejpam-502	479	44	al	al	PROPN
ejpam-502	479	45	-	-	PUNCT
ejpam-502	479	46	mirbati	mirbati	PROPN
ejpam-502	479	47	,	,	PUNCT
ejpam-502	479	48	d.	d.	PROPN
ejpam-502	479	49	drissi	drissi	PROPN
ejpam-502	479	50	/	/	PUNCT
ejpam-502	479	51	eur	eur	PROPN
ejpam-502	479	52	.	.	PUNCT
ejpam-502	480	1	j.	j.	PROPN
ejpam-502	480	2	pure	pure	PROPN
ejpam-502	480	3	appl	appl	PROPN
ejpam-502	480	4	.	.	PROPN
ejpam-502	480	5	math	math	PROPN
ejpam-502	480	6	,	,	PUNCT
ejpam-502	480	7	3	3	NUM
ejpam-502	480	8	(	(	PUNCT
ejpam-502	480	9	2010	2010	NUM
ejpam-502	480	10	)	)	PUNCT
ejpam-502	480	11	,	,	PUNCT
ejpam-502	480	12	881	881	NUM
ejpam-502	480	13	-	-	SYM
ejpam-502	480	14	898	898	NUM
ejpam-502	480	15	894	894	NUM
ejpam-502	480	16	4	4	NUM
ejpam-502	480	17	.	.	PUNCT
ejpam-502	481	1	the	the	DET
ejpam-502	481	2	hille	hille	NOUN
ejpam-502	481	3	-	-	PUNCT
ejpam-502	481	4	yosidatheorem	yosidatheorem	PROPN
ejpam-502	481	5	for	for	ADP
ejpam-502	481	6	t.p.s	t.p.s	NOUN
ejpam-502	481	7	’	'	PUNCT
ejpam-502	481	8	.	.	PUNCT
ejpam-502	482	1	definition	definition	NOUN
ejpam-502	482	2	4	4	NUM
ejpam-502	482	3	.	.	PUNCT
ejpam-502	483	1	let	let	VERB
ejpam-502	483	2	x	x	PRON
ejpam-502	483	3	and	and	CCONJ
ejpam-502	483	4	y	y	PROPN
ejpam-502	483	5	be	be	VERB
ejpam-502	483	6	banach	banach	NOUN
ejpam-502	483	7	spaces	space	NOUN
ejpam-502	483	8	and	and	CCONJ
ejpam-502	483	9	a	a	DET
ejpam-502	483	10	be	be	AUX
ejpam-502	483	11	a	a	DET
ejpam-502	483	12	linear	linear	ADJ
ejpam-502	483	13	transformation	transformation	NOUN
ejpam-502	483	14	that	that	PRON
ejpam-502	483	15	maps	map	NOUN
ejpam-502	483	16	r+	r+	NOUN
ejpam-502	483	17	2	2	NUM
ejpam-502	483	18	into	into	ADP
ejpam-502	483	19	l	l	PROPN
ejpam-502	483	20	�	�	PROPN
ejpam-502	483	21	x	x	SYM
ejpam-502	483	22	α⊗	α⊗	PROPN
ejpam-502	483	23	y	y	PROPN
ejpam-502	483	24	�	�	PROPN
ejpam-502	483	25	given	give	VERB
ejpam-502	483	26	by	by	ADP
ejpam-502	483	27	a	a	DET
ejpam-502	483	28	=	=	SYM
ejpam-502	483	29	(	(	PUNCT
ejpam-502	483	30	a1⊗	a1⊗	X
ejpam-502	484	1	i	i	PRON
ejpam-502	484	2	,	,	PUNCT
ejpam-502	484	3	i	i	PROPN
ejpam-502	484	4	⊗	⊗	PROPN
ejpam-502	484	5	a2	a2	PROPN
ejpam-502	484	6	)	)	PUNCT
ejpam-502	484	7	,	,	PUNCT
ejpam-502	484	8	where	where	SCONJ
ejpam-502	484	9	a1	a1	NOUN
ejpam-502	484	10	,	,	PUNCT
ejpam-502	484	11	,	,	PUNCT
ejpam-502	484	12	a2	a2	PROPN
ejpam-502	484	13	are	be	AUX
ejpam-502	484	14	linear	linear	PROPN
ejpam-502	484	15	operators	operator	NOUN
ejpam-502	484	16	on	on	ADP
ejpam-502	484	17	x	x	PUNCT
ejpam-502	484	18	and	and	CCONJ
ejpam-502	484	19	y	y	PROPN
ejpam-502	484	20	respectively	respectively	ADV
ejpam-502	484	21	,	,	PUNCT
ejpam-502	484	22	satisfying	satisfying	NOUN
ejpam-502	484	23	:	:	PUNCT
ejpam-502	484	24	a.	a.	NOUN
ejpam-502	484	25	for	for	ADP
ejpam-502	484	26	any	any	DET
ejpam-502	484	27	(	(	PUNCT
ejpam-502	484	28	a	a	PRON
ejpam-502	484	29	,	,	PUNCT
ejpam-502	484	30	b	b	NOUN
ejpam-502	484	31	)	)	PUNCT
ejpam-502	484	32	∈r+2	∈r+2	X
ejpam-502	484	33	a	a	DET
ejpam-502	484	34	�	�	PROPN
ejpam-502	484	35	a	a	DET
ejpam-502	484	36	b	b	PROPN
ejpam-502	484	37	�	�	PROPN
ejpam-502	484	38	�	�	PROPN
ejpam-502	484	39	x	x	PUNCT
ejpam-502	484	40	⊗	⊗	PROPN
ejpam-502	484	41	y	y	PROPN
ejpam-502	484	42	�	�	PROPN
ejpam-502	484	43	=	=	SYM
ejpam-502	484	44	(	(	PUNCT
ejpam-502	484	45	aa1	aa1	PROPN
ejpam-502	485	1	⊗	⊗	PROPN
ejpam-502	485	2	i	i	PROPN
ejpam-502	485	3	,	,	PUNCT
ejpam-502	485	4	+	+	ADJ
ejpam-502	485	5	bi	bi	PROPN
ejpam-502	485	6	⊗	⊗	PROPN
ejpam-502	485	7	a2	a2	PROPN
ejpam-502	485	8	)	)	PUNCT
ejpam-502	485	9	�	�	PROPN
ejpam-502	485	10	x	x	PUNCT
ejpam-502	485	11	⊗	⊗	PROPN
ejpam-502	485	12	y	y	PROPN
ejpam-502	485	13	�	�	PROPN
ejpam-502	485	14	,	,	PUNCT
ejpam-502	485	15	x	x	PROPN
ejpam-502	485	16	∈d	∈d	NOUN
ejpam-502	485	17	�	�	PROPN
ejpam-502	485	18	a1	a1	NOUN
ejpam-502	485	19	�	�	PROPN
ejpam-502	485	20	,	,	PUNCT
ejpam-502	485	21	y	y	PROPN
ejpam-502	485	22	∈d	∈d	PROPN
ejpam-502	485	23	�	�	PROPN
ejpam-502	485	24	a2	a2	PROPN
ejpam-502	485	25	�	�	PROPN
ejpam-502	485	26	.	.	PUNCT
ejpam-502	486	1	b.	b.	PROPN
ejpam-502	487	1	a	a	PRON
ejpam-502	487	2	is	be	AUX
ejpam-502	487	3	the	the	DET
ejpam-502	487	4	infinitesimal	infinitesimal	ADJ
ejpam-502	487	5	generator	generator	NOUN
ejpam-502	487	6	of	of	ADP
ejpam-502	487	7	a	a	DET
ejpam-502	487	8	c0	c0	PROPN
ejpam-502	487	9	t.p.s	t.p.s	PROPN
ejpam-502	487	10	.	.	PUNCT
ejpam-502	488	1	(	(	PUNCT
ejpam-502	488	2	t	t	PROPN
ejpam-502	488	3	(	(	PUNCT
ejpam-502	488	4	s)⊗	s)⊗	PROPN
ejpam-502	488	5	s(t))s	s(t))s	PROPN
ejpam-502	488	6	,	,	PUNCT
ejpam-502	488	7	t≥0	t≥0	PROPN
ejpam-502	488	8	.	.	PUNCT
ejpam-502	489	1	then	then	ADV
ejpam-502	489	2	we	we	PRON
ejpam-502	489	3	call	call	VERB
ejpam-502	489	4	the	the	DET
ejpam-502	489	5	linear	linear	ADJ
ejpam-502	489	6	transformation	transformation	NOUN
ejpam-502	489	7	b	b	NOUN
ejpam-502	490	1	=	=	SYM
ejpam-502	490	2	(	(	PUNCT
ejpam-502	490	3	a1⊗	a1⊗	X
ejpam-502	491	1	i	i	PRON
ejpam-502	491	2	,	,	PUNCT
ejpam-502	491	3	i	i	PROPN
ejpam-502	491	4	⊗a2	⊗a2	NOUN
ejpam-502	491	5	)	)	PUNCT
ejpam-502	491	6	the	the	DET
ejpam-502	491	7	pseudo	pseudo	NOUN
ejpam-502	491	8	-	-	ADJ
ejpam-502	491	9	infinitesimal	infinitesimal	ADJ
ejpam-502	491	10	generator	generator	NOUN
ejpam-502	491	11	of	of	ADP
ejpam-502	491	12	(	(	PUNCT
ejpam-502	491	13	t	t	PROPN
ejpam-502	491	14	(	(	PUNCT
ejpam-502	491	15	s)⊗	s)⊗	PROPN
ejpam-502	491	16	s(t))s	s(t))s	PROPN
ejpam-502	491	17	,	,	PUNCT
ejpam-502	491	18	t≥0	t≥0	NOUN
ejpam-502	491	19	.	.	PUNCT
ejpam-502	492	1	we	we	PRON
ejpam-502	492	2	should	should	AUX
ejpam-502	492	3	remark	remark	VERB
ejpam-502	492	4	that	that	SCONJ
ejpam-502	492	5	uniqueness	uniqueness	NOUN
ejpam-502	492	6	of	of	ADP
ejpam-502	492	7	the	the	DET
ejpam-502	492	8	closure	closure	NOUN
ejpam-502	492	9	of	of	ADP
ejpam-502	492	10	a	a	DET
ejpam-502	492	11	linear	linear	ADJ
ejpam-502	492	12	operator	operator	NOUN
ejpam-502	492	13	,	,	PUNCT
ejpam-502	492	14	and	and	CCONJ
ejpam-502	492	15	uniqueness	uniqueness	NOUN
ejpam-502	492	16	of	of	ADP
ejpam-502	492	17	the	the	DET
ejpam-502	492	18	infinitesimal	infinitesimal	ADJ
ejpam-502	492	19	generator	generator	NOUN
ejpam-502	492	20	of	of	ADP
ejpam-502	492	21	a	a	DET
ejpam-502	492	22	t.p.s	t.p.s	NOUN
ejpam-502	492	23	.	.	PUNCT
ejpam-502	493	1	imply	imply	VERB
ejpam-502	493	2	that	that	SCONJ
ejpam-502	493	3	the	the	DET
ejpam-502	493	4	pseudo	pseudo	NOUN
ejpam-502	493	5	-	-	ADJ
ejpam-502	493	6	infinitesimal	infinitesimal	ADJ
ejpam-502	493	7	generator	generator	NOUN
ejpam-502	493	8	of	of	ADP
ejpam-502	493	9	a	a	DET
ejpam-502	493	10	t.p.s	t.p.s	NOUN
ejpam-502	493	11	.	.	PUNCT
ejpam-502	494	1	is	be	AUX
ejpam-502	494	2	unique	unique	ADJ
ejpam-502	494	3	.	.	PUNCT
ejpam-502	495	1	now	now	ADV
ejpam-502	495	2	,	,	PUNCT
ejpam-502	495	3	we	we	PRON
ejpam-502	495	4	are	be	AUX
ejpam-502	495	5	ready	ready	ADJ
ejpam-502	495	6	to	to	PART
ejpam-502	495	7	prove	prove	VERB
ejpam-502	495	8	one	one	NUM
ejpam-502	495	9	of	of	ADP
ejpam-502	495	10	the	the	DET
ejpam-502	495	11	main	main	ADJ
ejpam-502	495	12	results	result	NOUN
ejpam-502	495	13	of	of	ADP
ejpam-502	495	14	this	this	DET
ejpam-502	495	15	section	section	NOUN
ejpam-502	495	16	(	(	PUNCT
ejpam-502	495	17	a	a	DET
ejpam-502	495	18	hille	hille	PROPN
ejpam-502	495	19	-	-	PUNCT
ejpam-502	495	20	yosida	yosida	PROPN
ejpam-502	495	21	theorem	theorem	PROPN
ejpam-502	495	22	for	for	ADP
ejpam-502	495	23	t.p.s	t.p.s	NOUN
ejpam-502	495	24	.	.	PUNCT
ejpam-502	495	25	’	'	PUNCT
ejpam-502	495	26	)	)	PUNCT
ejpam-502	495	27	.	.	PUNCT
ejpam-502	496	1	theorem	theorem	ADJ
ejpam-502	496	2	4	4	NUM
ejpam-502	496	3	.	.	PUNCT
ejpam-502	497	1	let	let	VERB
ejpam-502	497	2	x	x	PRON
ejpam-502	497	3	,	,	PUNCT
ejpam-502	497	4	y	y	PROPN
ejpam-502	497	5	be	be	VERB
ejpam-502	497	6	banach	banach	ADV
ejpam-502	497	7	spaces	space	NOUN
ejpam-502	497	8	.	.	PUNCT
ejpam-502	498	1	a	a	DET
ejpam-502	498	2	linear	linear	ADJ
ejpam-502	498	3	transformation	transformation	NOUN
ejpam-502	498	4	a	a	PRON
ejpam-502	498	5	from	from	ADP
ejpam-502	498	6	r	r	NOUN
ejpam-502	498	7	+2	+2	NOUN
ejpam-502	498	8	into	into	ADP
ejpam-502	498	9	l	l	PROPN
ejpam-502	498	10	�	�	PROPN
ejpam-502	498	11	x	x	SYM
ejpam-502	498	12	α⊗	α⊗	PROPN
ejpam-502	498	13	y	y	PROPN
ejpam-502	498	14	�	�	PROPN
ejpam-502	498	15	is	be	AUX
ejpam-502	498	16	the	the	DET
ejpam-502	498	17	pseudo	pseudo	NOUN
ejpam-502	498	18	-	-	ADJ
ejpam-502	498	19	infinitesimal	infinitesimal	ADJ
ejpam-502	498	20	generator	generator	NOUN
ejpam-502	498	21	of	of	ADP
ejpam-502	498	22	a	a	DET
ejpam-502	498	23	c0	c0	PROPN
ejpam-502	498	24	t.p.s	t.p.s	PROPN
ejpam-502	498	25	.	.	PUNCT
ejpam-502	499	1	(	(	PUNCT
ejpam-502	499	2	t	t	PROPN
ejpam-502	499	3	(	(	PUNCT
ejpam-502	499	4	s)⊗	s)⊗	PROPN
ejpam-502	499	5	s(t))s	s(t))s	PROPN
ejpam-502	499	6	,	,	PUNCT
ejpam-502	499	7	t≥0	t≥0	NOUN
ejpam-502	499	8	on	on	ADP
ejpam-502	499	9	x	x	SYM
ejpam-502	499	10	α⊗	α⊗	PROPN
ejpam-502	499	11	y	y	PROPN
ejpam-502	499	12	satisfying	satisfying	PROPN
ejpam-502	499	13	‖t	‖t	PROPN
ejpam-502	499	14	(	(	PUNCT
ejpam-502	499	15	s)⊗	s)⊗	PROPN
ejpam-502	499	16	s(t)‖	s(t)‖	NOUN
ejpam-502	499	17	≤	≤	PROPN
ejpam-502	499	18	meω(s+t	meω(s+t	PROPN
ejpam-502	499	19	)	)	PUNCT
ejpam-502	499	20	,	,	PUNCT
ejpam-502	499	21	for	for	ADP
ejpam-502	499	22	all	all	DET
ejpam-502	499	23	s	s	PROPN
ejpam-502	499	24	,	,	PUNCT
ejpam-502	499	25	t	t	PROPN
ejpam-502	499	26	≥	≥	NUM
ejpam-502	499	27	0	0	NUM
ejpam-502	499	28	,	,	PUNCT
ejpam-502	499	29	for	for	ADP
ejpam-502	499	30	some	some	DET
ejpam-502	499	31	constants	constant	NOUN
ejpam-502	499	32	m	m	VERB
ejpam-502	499	33	≥	≥	NUM
ejpam-502	499	34	1,ω	1,ω	PROPN
ejpam-502	499	35	≥	≥	NOUN
ejpam-502	499	36	0	0	NUM
ejpam-502	499	37	,	,	PUNCT
ejpam-502	499	38	if	if	SCONJ
ejpam-502	499	39	and	and	CCONJ
ejpam-502	499	40	only	only	ADV
ejpam-502	499	41	if	if	SCONJ
ejpam-502	499	42	the	the	DET
ejpam-502	499	43	followings	following	NOUN
ejpam-502	499	44	hold	hold	VERB
ejpam-502	499	45	(	(	PUNCT
ejpam-502	499	46	i	i	NOUN
ejpam-502	499	47	)	)	PUNCT
ejpam-502	499	48	�	�	PROPN
ejpam-502	499	49	a	a	DET
ejpam-502	499	50	�	�	PROPN
ejpam-502	499	51	0	0	NUM
ejpam-502	499	52	1	1	NUM
ejpam-502	499	53	�	�	PROPN
ejpam-502	499	54	�	�	PROPN
ejpam-502	499	55	�	�	PROPN
ejpam-502	499	56	x	x	SYM
ejpam-502	499	57	⊗	⊗	PROPN
ejpam-502	499	58	y	y	PROPN
ejpam-502	499	59	�	�	PROPN
ejpam-502	499	60	=	=	SYM
ejpam-502	499	61	�	�	PROPN
ejpam-502	499	62	a1	a1	PROPN
ejpam-502	499	63	x	x	SYM
ejpam-502	499	64	�	�	PROPN
ejpam-502	499	65	⊗	⊗	PROPN
ejpam-502	499	66	y	y	PROPN
ejpam-502	499	67	,	,	PUNCT
ejpam-502	499	68	and	and	CCONJ
ejpam-502	499	69	�	�	PROPN
ejpam-502	499	70	a	a	DET
ejpam-502	499	71	�	�	PROPN
ejpam-502	499	72	1	1	NUM
ejpam-502	499	73	0	0	NUM
ejpam-502	499	74	�	�	PROPN
ejpam-502	499	75	�	�	PROPN
ejpam-502	499	76	�	�	PROPN
ejpam-502	499	77	x	x	SYM
ejpam-502	499	78	⊗	⊗	PROPN
ejpam-502	499	79	y	y	PROPN
ejpam-502	499	80	�	�	PROPN
ejpam-502	499	81	=	=	SYM
ejpam-502	499	82	x⊗	x⊗	PROPN
ejpam-502	499	83	�	�	PROPN
ejpam-502	499	84	a2	a2	PROPN
ejpam-502	499	85	y	y	PROPN
ejpam-502	499	86	�	�	PROPN
ejpam-502	499	87	,	,	PUNCT
ejpam-502	499	88	x	x	PROPN
ejpam-502	499	89	∈d	∈d	NOUN
ejpam-502	499	90	�	�	PROPN
ejpam-502	499	91	a1	a1	NOUN
ejpam-502	499	92	�	�	PROPN
ejpam-502	499	93	,	,	PUNCT
ejpam-502	499	94	y	y	PROPN
ejpam-502	499	95	∈d	∈d	PROPN
ejpam-502	499	96	�	�	PROPN
ejpam-502	499	97	a2	a2	PROPN
ejpam-502	499	98	�	�	PROPN
ejpam-502	499	99	for	for	ADP
ejpam-502	499	100	some	some	DET
ejpam-502	499	101	linear	linear	ADJ
ejpam-502	499	102	operators	operator	NOUN
ejpam-502	499	103	a1,a2	a1,a2	PROPN
ejpam-502	499	104	(	(	PUNCT
ejpam-502	499	105	not	not	PART
ejpam-502	499	106	necessarily	necessarily	ADV
ejpam-502	499	107	bounded	bound	VERB
ejpam-502	499	108	)	)	PUNCT
ejpam-502	499	109	on	on	ADP
ejpam-502	499	110	x	x	X
ejpam-502	499	111	,	,	PUNCT
ejpam-502	499	112	y	y	PROPN
ejpam-502	499	113	respectively	respectively	ADV
ejpam-502	499	114	.	.	PUNCT
ejpam-502	500	1	(	(	PUNCT
ejpam-502	500	2	ii	ii	NOUN
ejpam-502	500	3	)	)	PUNCT
ejpam-502	500	4	a1,a2	a1,a2	PROPN
ejpam-502	500	5	in	in	ADP
ejpam-502	500	6	part	part	NOUN
ejpam-502	500	7	(	(	PUNCT
ejpam-502	500	8	i	i	NOUN
ejpam-502	500	9	)	)	PUNCT
ejpam-502	500	10	are	be	AUX
ejpam-502	500	11	closed	closed	ADJ
ejpam-502	500	12	and	and	CCONJ
ejpam-502	500	13	densely	densely	ADV
ejpam-502	500	14	defined	define	VERB
ejpam-502	500	15	on	on	ADP
ejpam-502	500	16	x	x	X
ejpam-502	500	17	,	,	PUNCT
ejpam-502	500	18	y	y	PROPN
ejpam-502	500	19	respectively	respectively	ADV
ejpam-502	500	20	.	.	PUNCT
ejpam-502	501	1	(	(	PUNCT
ejpam-502	501	2	iii	iii	X
ejpam-502	501	3	)	)	PUNCT
ejpam-502	501	4	ρ(ai	ρ(ai	PROPN
ejpam-502	501	5	)	)	PUNCT
ejpam-502	501	6	contains	contain	VERB
ejpam-502	501	7	(	(	PUNCT
ejpam-502	501	8	ω,∞	ω,∞	NOUN
ejpam-502	501	9	)	)	PUNCT
ejpam-502	501	10	,	,	PUNCT
ejpam-502	501	11	i	i	NOUN
ejpam-502	501	12	=	=	NOUN
ejpam-502	501	13	1,2	1,2	NUM
ejpam-502	501	14	,	,	PUNCT
ejpam-502	501	15	and	and	CCONJ
ejpam-502	501	16	for	for	ADP
ejpam-502	501	17	every	every	DET
ejpam-502	501	18	λ	λ	PROPN
ejpam-502	501	19	>	>	X
ejpam-502	501	20	ω	ω	PROPN
ejpam-502	501	21	�	�	PROPN
ejpam-502	501	22	rλ(ai	rλ(ai	PROPN
ejpam-502	501	23	)	)	PUNCT
ejpam-502	501	24	�	�	PROPN
ejpam-502	501	25	n	n	CCONJ
ejpam-502	501	26	≤	≤	NUM
ejpam-502	501	27	mi	mi	PROPN
ejpam-502	501	28	(	(	PUNCT
ejpam-502	501	29	λ−ω)n	λ−ω)n	PROPN
ejpam-502	501	30	,	,	PUNCT
ejpam-502	501	31	n=	n=	ADJ
ejpam-502	501	32	1,2,3	1,2,3	NUM
ejpam-502	501	33	,	,	PUNCT
ejpam-502	501	34	.	.	PUNCT
ejpam-502	501	35	.	.	PUNCT
ejpam-502	501	36	.	.	PUNCT
ejpam-502	502	1	,	,	PUNCT
ejpam-502	502	2	for	for	ADP
ejpam-502	502	3	some	some	DET
ejpam-502	502	4	mi	mi	PROPN
ejpam-502	502	5	≥	≥	PROPN
ejpam-502	502	6	1	1	NUM
ejpam-502	502	7	,	,	PUNCT
ejpam-502	502	8	i	i	PRON
ejpam-502	502	9	=	=	NOUN
ejpam-502	502	10	1,2	1,2	NUM
ejpam-502	502	11	.	.	PUNCT
ejpam-502	503	1	proof	proof	NOUN
ejpam-502	503	2	.	.	PUNCT
ejpam-502	504	1	let	let	VERB
ejpam-502	504	2	the	the	DET
ejpam-502	504	3	conditions	condition	NOUN
ejpam-502	504	4	(	(	PUNCT
ejpam-502	504	5	i	i	NOUN
ejpam-502	504	6	)	)	PUNCT
ejpam-502	504	7	,	,	PUNCT
ejpam-502	504	8	(	(	PUNCT
ejpam-502	504	9	ii	ii	NOUN
ejpam-502	504	10	)	)	PUNCT
ejpam-502	504	11	and	and	CCONJ
ejpam-502	504	12	(	(	PUNCT
ejpam-502	504	13	iii	iii	NOUN
ejpam-502	504	14	)	)	PUNCT
ejpam-502	504	15	hold	hold	NOUN
ejpam-502	504	16	.	.	PUNCT
ejpam-502	505	1	from	from	ADP
ejpam-502	505	2	(	(	PUNCT
ejpam-502	505	3	ii	ii	NOUN
ejpam-502	505	4	)	)	PUNCT
ejpam-502	505	5	,	,	PUNCT
ejpam-502	505	6	(	(	PUNCT
ejpam-502	505	7	iii	iii	NOUN
ejpam-502	505	8	)	)	PUNCT
ejpam-502	505	9	and	and	CCONJ
ejpam-502	505	10	theorem	theorem	VERB
ejpam-502	505	11	1.7	1.7	NUM
ejpam-502	505	12	in	in	ADP
ejpam-502	505	13	[	[	X
ejpam-502	505	14	1	1	NUM
ejpam-502	505	15	]	]	PUNCT
ejpam-502	505	16	a1,a2	a1,a2	PROPN
ejpam-502	505	17	are	be	AUX
ejpam-502	505	18	the	the	DET
ejpam-502	505	19	infinitesimal	infinitesimal	ADJ
ejpam-502	505	20	generators	generator	NOUN
ejpam-502	505	21	of	of	ADP
ejpam-502	505	22	one	one	NUM
ejpam-502	505	23	parameter	parameter	NOUN
ejpam-502	505	24	c0	c0	NOUN
ejpam-502	505	25	semigroups	semigroups	X
ejpam-502	505	26	say	say	VERB
ejpam-502	505	27	(	(	PUNCT
ejpam-502	505	28	t	t	PROPN
ejpam-502	505	29	(	(	PUNCT
ejpam-502	505	30	s))s≥0	s))s≥0	PROPN
ejpam-502	505	31	,	,	PUNCT
ejpam-502	505	32	(	(	PUNCT
ejpam-502	505	33	s(t))t≥0	s(t))t≥0	X
ejpam-502	505	34	on	on	ADP
ejpam-502	505	35	x	x	X
ejpam-502	505	36	,	,	PUNCT
ejpam-502	505	37	y	y	PROPN
ejpam-502	505	38	respectively	respectively	ADV
ejpam-502	505	39	,	,	PUNCT
ejpam-502	505	40	satisfying	satisfy	VERB
ejpam-502	505	41	‖t	‖t	NOUN
ejpam-502	505	42	(	(	PUNCT
ejpam-502	505	43	s)‖	s)‖	VERB
ejpam-502	505	44	≤	≤	ADJ
ejpam-502	505	45	m1eωs	m1eωs	NOUN
ejpam-502	505	46	for	for	ADP
ejpam-502	505	47	all	all	PRON
ejpam-502	505	48	s	s	PART
ejpam-502	505	49	≥	≥	NOUN
ejpam-502	505	50	0	0	NUM
ejpam-502	505	51	,	,	PUNCT
ejpam-502	505	52	and	and	CCONJ
ejpam-502	505	53	‖s(t)‖	‖s(t)‖	NOUN
ejpam-502	505	54	≤	≤	NUM
ejpam-502	505	55	m2eωt	m2eωt	NOUN
ejpam-502	505	56	for	for	ADP
ejpam-502	505	57	all	all	DET
ejpam-502	505	58	t	t	PROPN
ejpam-502	505	59	≥	≥	NOUN
ejpam-502	505	60	0	0	NUM
ejpam-502	505	61	.	.	PUNCT
ejpam-502	506	1	by	by	ADP
ejpam-502	506	2	theorem	theorem	NOUN
ejpam-502	506	3	1	1	NUM
ejpam-502	506	4	(	(	PUNCT
ejpam-502	506	5	t	t	PROPN
ejpam-502	506	6	(	(	PUNCT
ejpam-502	506	7	s)⊗	s)⊗	PROPN
ejpam-502	506	8	s(t))s	s(t))s	PROPN
ejpam-502	506	9	,	,	PUNCT
ejpam-502	506	10	t≥0	t≥0	NOUN
ejpam-502	506	11	is	be	AUX
ejpam-502	506	12	a	a	DET
ejpam-502	506	13	c0	c0	PROPN
ejpam-502	506	14	t.p.s	t.p.s	PROPN
ejpam-502	506	15	.	.	PUNCT
ejpam-502	507	1	on	on	ADP
ejpam-502	507	2	x	x	SYM
ejpam-502	507	3	α⊗	α⊗	PROPN
ejpam-502	507	4	y	y	PROPN
ejpam-502	507	5	satisfying	satisfying	PROPN
ejpam-502	507	6	‖t	‖t	PROPN
ejpam-502	507	7	(	(	PUNCT
ejpam-502	507	8	s)⊗	s)⊗	PROPN
ejpam-502	507	9	s(t)‖	s(t)‖	NOUN
ejpam-502	507	10	≤	≤	NOUN
ejpam-502	507	11	‖t	‖t	NOUN
ejpam-502	507	12	(	(	PUNCT
ejpam-502	507	13	s)‖‖s(t)‖	s)‖‖s(t)‖	PROPN
ejpam-502	507	14	r.	r.	PROPN
ejpam-502	507	15	khalil	khalil	PROPN
ejpam-502	507	16	,	,	PUNCT
ejpam-502	507	17	r.	r.	PROPN
ejpam-502	507	18	al	al	PROPN
ejpam-502	507	19	-	-	PUNCT
ejpam-502	507	20	mirbati	mirbati	PROPN
ejpam-502	507	21	,	,	PUNCT
ejpam-502	507	22	d.	d.	PROPN
ejpam-502	507	23	drissi	drissi	PROPN
ejpam-502	507	24	/	/	PUNCT
ejpam-502	507	25	eur	eur	PROPN
ejpam-502	507	26	.	.	PUNCT
ejpam-502	508	1	j.	j.	PROPN
ejpam-502	508	2	pure	pure	PROPN
ejpam-502	508	3	appl	appl	PROPN
ejpam-502	508	4	.	.	PROPN
ejpam-502	508	5	math	math	PROPN
ejpam-502	508	6	,	,	PUNCT
ejpam-502	508	7	3	3	NUM
ejpam-502	508	8	(	(	PUNCT
ejpam-502	508	9	2010	2010	NUM
ejpam-502	508	10	)	)	PUNCT
ejpam-502	508	11	,	,	PUNCT
ejpam-502	508	12	881	881	NUM
ejpam-502	508	13	-	-	SYM
ejpam-502	508	14	898	898	NUM
ejpam-502	508	15	895	895	NUM
ejpam-502	508	16	≤	≤	NOUN
ejpam-502	508	17	m1m2eω(s+t	m1m2eω(s+t	NUM
ejpam-502	508	18	)	)	PUNCT
ejpam-502	508	19	=	=	SYM
ejpam-502	508	20	meω(s+t	meω(s+t	PROPN
ejpam-502	508	21	)	)	PUNCT
ejpam-502	508	22	,	,	PUNCT
ejpam-502	508	23	for	for	ADP
ejpam-502	508	24	all	all	DET
ejpam-502	508	25	s	s	PROPN
ejpam-502	508	26	,	,	PUNCT
ejpam-502	508	27	t	t	PROPN
ejpam-502	508	28	≥	≥	NOUN
ejpam-502	508	29	0	0	NUM
ejpam-502	508	30	.	.	PUNCT
ejpam-502	509	1	by	by	ADP
ejpam-502	509	2	theorem	theorem	NOUN
ejpam-502	509	3	2	2	NUM
ejpam-502	509	4	,	,	PUNCT
ejpam-502	509	5	the	the	DET
ejpam-502	509	6	transformation	transformation	NOUN
ejpam-502	509	7	�	�	PROPN
ejpam-502	509	8	a1	a1	NOUN
ejpam-502	510	1	⊗	⊗	PROPN
ejpam-502	510	2	i	i	PRON
ejpam-502	510	3	,	,	PUNCT
ejpam-502	510	4	i	i	PROPN
ejpam-502	510	5	⊗	⊗	PROPN
ejpam-502	510	6	a2	a2	PROPN
ejpam-502	510	7	�	�	PROPN
ejpam-502	510	8	is	be	AUX
ejpam-502	510	9	the	the	DET
ejpam-502	510	10	pseudo	pseudo	NOUN
ejpam-502	510	11	-	-	ADJ
ejpam-502	510	12	infinitesimal	infinitesimal	ADJ
ejpam-502	510	13	generator	generator	NOUN
ejpam-502	510	14	of	of	ADP
ejpam-502	510	15	t	t	PROPN
ejpam-502	510	16	(	(	PUNCT
ejpam-502	510	17	s)⊗	s)⊗	PROPN
ejpam-502	510	18	s(t	s(t	PROPN
ejpam-502	510	19	)	)	PUNCT
ejpam-502	510	20	.	.	PUNCT
ejpam-502	511	1	let	let	VERB
ejpam-502	511	2	(	(	PUNCT
ejpam-502	511	3	a	a	DET
ejpam-502	511	4	,	,	PUNCT
ejpam-502	511	5	b	b	NOUN
ejpam-502	511	6	)	)	PUNCT
ejpam-502	511	7	∈r+2	∈r+2	X
ejpam-502	511	8	,	,	PUNCT
ejpam-502	511	9	x	x	SYM
ejpam-502	511	10	∈d	∈d	NOUN
ejpam-502	511	11	�	�	PROPN
ejpam-502	511	12	a1	a1	NOUN
ejpam-502	511	13	�	�	PROPN
ejpam-502	511	14	,	,	PUNCT
ejpam-502	511	15	y	y	PROPN
ejpam-502	511	16	∈d	∈d	PROPN
ejpam-502	511	17	�	�	PROPN
ejpam-502	511	18	a2	a2	PROPN
ejpam-502	511	19	�	�	PROPN
ejpam-502	511	20	.	.	PUNCT
ejpam-502	512	1	then	then	ADV
ejpam-502	512	2	�	�	PROPN
ejpam-502	512	3	�	�	PROPN
ejpam-502	512	4	a1	a1	PROPN
ejpam-502	513	1	⊗	⊗	PROPN
ejpam-502	513	2	i	i	PRON
ejpam-502	513	3	,	,	PUNCT
ejpam-502	513	4	i	i	PROPN
ejpam-502	513	5	⊗	⊗	PROPN
ejpam-502	513	6	a2	a2	PROPN
ejpam-502	513	7	�	�	PROPN
ejpam-502	513	8	�	�	PROPN
ejpam-502	513	9	a	a	DET
ejpam-502	513	10	b	b	PROPN
ejpam-502	513	11	�	�	PROPN
ejpam-502	513	12	�	�	PROPN
ejpam-502	513	13	�	�	PROPN
ejpam-502	513	14	x	x	SYM
ejpam-502	513	15	⊗	⊗	PROPN
ejpam-502	513	16	y	y	PROPN
ejpam-502	513	17	�	�	PROPN
ejpam-502	513	18	=	=	SYM
ejpam-502	513	19	�	�	PROPN
ejpam-502	513	20	aa1	aa1	PROPN
ejpam-502	514	1	⊗	⊗	PROPN
ejpam-502	514	2	i	i	PRON
ejpam-502	515	1	+	+	CCONJ
ejpam-502	515	2	bi	bi	PROPN
ejpam-502	515	3	⊗	⊗	PROPN
ejpam-502	515	4	a2	a2	PROPN
ejpam-502	515	5	�	�	PROPN
ejpam-502	515	6	�	�	PROPN
ejpam-502	515	7	x	x	PROPN
ejpam-502	515	8	⊗	⊗	PROPN
ejpam-502	515	9	y	y	PROPN
ejpam-502	515	10	�	�	PROPN
ejpam-502	515	11	,	,	PUNCT
ejpam-502	515	12	which	which	PRON
ejpam-502	515	13	is	be	AUX
ejpam-502	515	14	by	by	ADP
ejpam-502	515	15	(	(	PUNCT
ejpam-502	515	16	i	i	NOUN
ejpam-502	515	17	)	)	PUNCT
ejpam-502	515	18	,	,	PUNCT
ejpam-502	515	19	�	�	PROPN
ejpam-502	515	20	aa	aa	PROPN
ejpam-502	515	21	�	�	PROPN
ejpam-502	515	22	0	0	NUM
ejpam-502	515	23	1	1	NUM
ejpam-502	515	24	�	�	PROPN
ejpam-502	515	25	+	+	CCONJ
ejpam-502	515	26	ba	ba	PROPN
ejpam-502	515	27	�	�	PROPN
ejpam-502	515	28	1	1	NUM
ejpam-502	515	29	0	0	NUM
ejpam-502	515	30	�	�	PROPN
ejpam-502	515	31	�	�	PROPN
ejpam-502	515	32	�	�	PROPN
ejpam-502	515	33	x	x	SYM
ejpam-502	515	34	⊗	⊗	PROPN
ejpam-502	515	35	y	y	PROPN
ejpam-502	515	36	�	�	PROPN
ejpam-502	515	37	=	=	SYM
ejpam-502	515	38	�	�	PROPN
ejpam-502	515	39	a	a	DET
ejpam-502	515	40	�	�	PROPN
ejpam-502	515	41	a	a	DET
ejpam-502	515	42	b	b	PROPN
ejpam-502	515	43	�	�	PROPN
ejpam-502	515	44	�	�	PROPN
ejpam-502	515	45	�	�	PROPN
ejpam-502	515	46	x	x	PROPN
ejpam-502	515	47	⊗	⊗	PROPN
ejpam-502	515	48	y	y	PROPN
ejpam-502	515	49	�	�	PROPN
ejpam-502	515	50	.	.	PUNCT
ejpam-502	516	1	therefore	therefore	ADV
ejpam-502	516	2	a	a	DET
ejpam-502	516	3	�	�	PROPN
ejpam-502	516	4	a	a	DET
ejpam-502	516	5	b	b	PROPN
ejpam-502	516	6	�	�	PROPN
ejpam-502	516	7	coincides	coincide	VERB
ejpam-502	516	8	with	with	ADP
ejpam-502	516	9	�	�	PROPN
ejpam-502	516	10	a1	a1	NOUN
ejpam-502	517	1	⊗	⊗	PROPN
ejpam-502	517	2	i	i	PRON
ejpam-502	517	3	,	,	PUNCT
ejpam-502	517	4	i	i	PROPN
ejpam-502	517	5	⊗	⊗	PROPN
ejpam-502	517	6	a2	a2	PROPN
ejpam-502	517	7	�	�	PROPN
ejpam-502	517	8	�	�	PROPN
ejpam-502	517	9	a	a	DET
ejpam-502	517	10	b	b	PROPN
ejpam-502	517	11	�	�	PROPN
ejpam-502	517	12	on	on	ADP
ejpam-502	517	13	d	d	PROPN
ejpam-502	517	14	�	�	PROPN
ejpam-502	517	15	a1	a1	PROPN
ejpam-502	517	16	�	�	PROPN
ejpam-502	517	17	⊗d	⊗d	PROPN
ejpam-502	517	18	�	�	PROPN
ejpam-502	517	19	a2	a2	PROPN
ejpam-502	517	20	�	�	PROPN
ejpam-502	517	21	for	for	ADP
ejpam-502	517	22	every	every	DET
ejpam-502	517	23	(	(	PUNCT
ejpam-502	517	24	a	a	PRON
ejpam-502	517	25	,	,	PUNCT
ejpam-502	517	26	b	b	NOUN
ejpam-502	517	27	)	)	PUNCT
ejpam-502	517	28	∈r+2	∈r+2	X
ejpam-502	517	29	,	,	PUNCT
ejpam-502	517	30	thus	thus	ADV
ejpam-502	517	31	their	their	PRON
ejpam-502	517	32	closures	closure	NOUN
ejpam-502	517	33	coincide	coincide	VERB
ejpam-502	517	34	.	.	PUNCT
ejpam-502	518	1	but	but	CCONJ
ejpam-502	518	2	the	the	DET
ejpam-502	518	3	transformation	transformation	NOUN
ejpam-502	518	4	mapping	mapping	NOUN
ejpam-502	518	5	(	(	PUNCT
ejpam-502	518	6	a	a	PRON
ejpam-502	518	7	,	,	PUNCT
ejpam-502	518	8	b	b	NOUN
ejpam-502	518	9	)	)	PUNCT
ejpam-502	518	10	∈	∈	NOUN
ejpam-502	518	11	r	r	NOUN
ejpam-502	518	12	+2	+2	NOUN
ejpam-502	518	13	into	into	ADP
ejpam-502	518	14	a	a	DET
ejpam-502	518	15	�	�	NOUN
ejpam-502	518	16	a	a	DET
ejpam-502	518	17	b	b	PROPN
ejpam-502	518	18	�	�	PROPN
ejpam-502	518	19	=	=	SYM
ejpam-502	518	20	�	�	PROPN
ejpam-502	518	21	a1	a1	NOUN
ejpam-502	518	22	⊗	⊗	PROPN
ejpam-502	518	23	i	i	PRON
ejpam-502	518	24	,	,	PUNCT
ejpam-502	518	25	i	i	PROPN
ejpam-502	518	26	⊗	⊗	PROPN
ejpam-502	518	27	a2	a2	PROPN
ejpam-502	518	28	�	�	PROPN
ejpam-502	518	29	�	�	PROPN
ejpam-502	518	30	a	a	DET
ejpam-502	518	31	b	b	PROPN
ejpam-502	518	32	�	�	PROPN
ejpam-502	518	33	is	be	AUX
ejpam-502	518	34	the	the	DET
ejpam-502	518	35	infinitesimal	infinitesimal	ADJ
ejpam-502	518	36	generator	generator	NOUN
ejpam-502	518	37	of	of	ADP
ejpam-502	518	38	(	(	PUNCT
ejpam-502	518	39	t	t	PROPN
ejpam-502	518	40	(	(	PUNCT
ejpam-502	518	41	s)⊗	s)⊗	PROPN
ejpam-502	518	42	s(t))s	s(t))s	PROPN
ejpam-502	518	43	,	,	PUNCT
ejpam-502	518	44	t≥0	t≥0	PROPN
ejpam-502	518	45	(	(	PUNCT
ejpam-502	518	46	see	see	VERB
ejpam-502	518	47	theorem	theorem	NOUN
ejpam-502	518	48	2	2	NUM
ejpam-502	518	49	,	,	PUNCT
ejpam-502	518	50	and	and	CCONJ
ejpam-502	518	51	corollary	corollary	ADJ
ejpam-502	518	52	2	2	NUM
ejpam-502	518	53	)	)	PUNCT
ejpam-502	518	54	.	.	PUNCT
ejpam-502	519	1	in	in	ADP
ejpam-502	519	2	other	other	ADJ
ejpam-502	519	3	words	word	NOUN
ejpam-502	519	4	,	,	PUNCT
ejpam-502	519	5	a	a	DET
ejpam-502	519	6	�	�	PROPN
ejpam-502	519	7	a	a	DET
ejpam-502	519	8	b	b	PROPN
ejpam-502	519	9	�	�	PROPN
ejpam-502	519	10	is	be	AUX
ejpam-502	519	11	the	the	DET
ejpam-502	519	12	pseudo	pseudo	NOUN
ejpam-502	519	13	-	-	ADJ
ejpam-502	519	14	infinitesimal	infinitesimal	ADJ
ejpam-502	519	15	generator	generator	NOUN
ejpam-502	519	16	of	of	ADP
ejpam-502	519	17	(	(	PUNCT
ejpam-502	519	18	t	t	PROPN
ejpam-502	519	19	(	(	PUNCT
ejpam-502	519	20	s)⊗	s)⊗	PROPN
ejpam-502	519	21	s(t	s(t	PROPN
ejpam-502	519	22	)	)	PUNCT
ejpam-502	519	23	)	)	PUNCT
ejpam-502	519	24	.	.	PUNCT
ejpam-502	520	1	conversely	conversely	ADV
ejpam-502	520	2	,	,	PUNCT
ejpam-502	520	3	let	let	VERB
ejpam-502	520	4	a	a	DET
ejpam-502	520	5	be	be	AUX
ejpam-502	520	6	as	as	ADP
ejpam-502	520	7	in	in	ADP
ejpam-502	520	8	the	the	DET
ejpam-502	520	9	statement	statement	NOUN
ejpam-502	520	10	.	.	PUNCT
ejpam-502	521	1	since	since	SCONJ
ejpam-502	521	2	t	t	PROPN
ejpam-502	521	3	(	(	PUNCT
ejpam-502	521	4	s)⊗	s)⊗	PROPN
ejpam-502	521	5	s(t	s(t	PROPN
ejpam-502	521	6	)	)	PUNCT
ejpam-502	521	7	is	be	AUX
ejpam-502	521	8	a	a	DET
ejpam-502	521	9	c0	c0	PROPN
ejpam-502	521	10	t.p.s	t.p.s	PROPN
ejpam-502	521	11	.	.	PUNCT
ejpam-502	521	12	,	,	PUNCT
ejpam-502	521	13	then	then	ADV
ejpam-502	521	14	by	by	ADP
ejpam-502	521	15	theorem	theorem	NOUN
ejpam-502	521	16	1	1	NUM
ejpam-502	521	17	there	there	PRON
ejpam-502	521	18	exist	exist	VERB
ejpam-502	521	19	unique	unique	ADJ
ejpam-502	521	20	β	β	NOUN
ejpam-502	521	21	6=	6=	ADP
ejpam-502	521	22	0	0	NUM
ejpam-502	521	23	,	,	PUNCT
ejpam-502	521	24	and	and	CCONJ
ejpam-502	521	25	unique	unique	ADJ
ejpam-502	521	26	one	one	NUM
ejpam-502	521	27	parameter	parameter	NOUN
ejpam-502	521	28	c0	c0	PROPN
ejpam-502	521	29	semigroups	semigroups	PROPN
ejpam-502	521	30	�	�	PROPN
ejpam-502	521	31	bt	bt	PROPN
ejpam-502	521	32	(	(	PUNCT
ejpam-502	521	33	s	s	NOUN
ejpam-502	521	34	)	)	PUNCT
ejpam-502	521	35	�	�	PROPN
ejpam-502	521	36	s≥0	s≥0	PROPN
ejpam-502	521	37	,	,	PUNCT
ejpam-502	521	38	�	�	PROPN
ejpam-502	521	39	bs(t	bs(t	NOUN
ejpam-502	521	40	)	)	PUNCT
ejpam-502	521	41	�	�	PROPN
ejpam-502	521	42	t≥0	t≥0	NOUN
ejpam-502	521	43	on	on	ADP
ejpam-502	521	44	x	x	SYM
ejpam-502	521	45	,	,	PUNCT
ejpam-502	521	46	y	y	PROPN
ejpam-502	521	47	respectively	respectively	ADV
ejpam-502	521	48	,	,	PUNCT
ejpam-502	521	49	such	such	ADJ
ejpam-502	521	50	that	that	SCONJ
ejpam-502	521	51	(	(	PUNCT
ejpam-502	521	52	1	1	X
ejpam-502	521	53	)	)	PUNCT
ejpam-502	521	54	holds	hold	VERB
ejpam-502	521	55	.	.	PUNCT
ejpam-502	522	1	let	let	AUX
ejpam-502	522	2	a1,a2	a1,a2	PROPN
ejpam-502	522	3	be	be	AUX
ejpam-502	522	4	their	their	PRON
ejpam-502	522	5	generators	generator	NOUN
ejpam-502	522	6	.	.	PUNCT
ejpam-502	523	1	then	then	ADV
ejpam-502	523	2	by	by	ADP
ejpam-502	523	3	theorem	theorem	NOUN
ejpam-502	523	4	2	2	NUM
ejpam-502	523	5	,	,	PUNCT
ejpam-502	523	6	a1,a2	a1,a2	PROPN
ejpam-502	523	7	satisfy	satisfy	NOUN
ejpam-502	523	8	(	(	PUNCT
ejpam-502	523	9	i	i	NOUN
ejpam-502	523	10	)	)	PUNCT
ejpam-502	523	11	and	and	CCONJ
ejpam-502	523	12	(	(	PUNCT
ejpam-502	523	13	ii	ii	NOUN
ejpam-502	523	14	)	)	PUNCT
ejpam-502	523	15	.	.	PUNCT
ejpam-502	524	1	by	by	ADP
ejpam-502	524	2	theorem	theorem	NOUN
ejpam-502	524	3	2	2	NUM
ejpam-502	524	4	and	and	CCONJ
ejpam-502	524	5	corollary	corollary	ADJ
ejpam-502	524	6	2	2	NUM
ejpam-502	524	7	,	,	PUNCT
ejpam-502	524	8	the	the	DET
ejpam-502	524	9	transformation	transformation	NOUN
ejpam-502	524	10	(	(	PUNCT
ejpam-502	524	11	a	a	PRON
ejpam-502	524	12	,	,	PUNCT
ejpam-502	524	13	b	b	NOUN
ejpam-502	524	14	)	)	PUNCT
ejpam-502	524	15	7→	7→	NUM
ejpam-502	524	16	�	�	NOUN
ejpam-502	524	17	a1	a1	NOUN
ejpam-502	525	1	⊗	⊗	NOUN
ejpam-502	526	1	i	i	PRON
ejpam-502	526	2	,	,	PUNCT
ejpam-502	526	3	i	i	PROPN
ejpam-502	526	4	⊗	⊗	PROPN
ejpam-502	526	5	a2	a2	PROPN
ejpam-502	526	6	�	�	PROPN
ejpam-502	526	7	�	�	PROPN
ejpam-502	526	8	a	a	DET
ejpam-502	526	9	b	b	PROPN
ejpam-502	526	10	�	�	PROPN
ejpam-502	526	11	=	=	SYM
ejpam-502	526	12	�	�	PROPN
ejpam-502	526	13	a1	a1	NOUN
ejpam-502	527	1	⊗	⊗	PROPN
ejpam-502	527	2	i	i	PRON
ejpam-502	527	3	,	,	PUNCT
ejpam-502	527	4	i	i	PROPN
ejpam-502	527	5	⊗	⊗	PROPN
ejpam-502	527	6	a2	a2	PROPN
ejpam-502	527	7	�	�	PROPN
ejpam-502	527	8	�	�	PROPN
ejpam-502	527	9	a	a	DET
ejpam-502	527	10	b	b	PROPN
ejpam-502	527	11	�	�	PROPN
ejpam-502	527	12	is	be	AUX
ejpam-502	527	13	the	the	DET
ejpam-502	527	14	infinitesimal	infinitesimal	ADJ
ejpam-502	527	15	generator	generator	NOUN
ejpam-502	527	16	of	of	ADP
ejpam-502	527	17	bt	bt	PROPN
ejpam-502	527	18	(	(	PUNCT
ejpam-502	527	19	s)⊗bs(t	s)⊗bs(t	PROPN
ejpam-502	527	20	)	)	PUNCT
ejpam-502	527	21	.	.	PUNCT
ejpam-502	528	1	but	but	CCONJ
ejpam-502	528	2	bt	bt	PROPN
ejpam-502	528	3	(	(	PUNCT
ejpam-502	528	4	s)⊗bs(t	s)⊗bs(t	PROPN
ejpam-502	528	5	)	)	PUNCT
ejpam-502	528	6	=	=	SYM
ejpam-502	528	7	t	t	PROPN
ejpam-502	528	8	(	(	PUNCT
ejpam-502	528	9	s)⊗s(t	s)⊗s(t	NOUN
ejpam-502	528	10	)	)	PUNCT
ejpam-502	528	11	.	.	PUNCT
ejpam-502	529	1	thus	thus	ADV
ejpam-502	529	2	�	�	PROPN
ejpam-502	529	3	a1	a1	NOUN
ejpam-502	530	1	⊗	⊗	PROPN
ejpam-502	531	1	i	i	PRON
ejpam-502	531	2	,	,	PUNCT
ejpam-502	531	3	i	i	PRON
ejpam-502	531	4	⊗a2	⊗a2	NUM
ejpam-502	531	5	�	�	PROPN
ejpam-502	531	6	is	be	AUX
ejpam-502	531	7	the	the	DET
ejpam-502	531	8	pseudo	pseudo	NOUN
ejpam-502	531	9	-	-	ADJ
ejpam-502	531	10	infinitesimal	infinitesimal	ADJ
ejpam-502	531	11	generator	generator	NOUN
ejpam-502	531	12	of	of	ADP
ejpam-502	531	13	t	t	PROPN
ejpam-502	531	14	(	(	PUNCT
ejpam-502	531	15	s)⊗	s)⊗	PROPN
ejpam-502	531	16	s(t	s(t	PROPN
ejpam-502	531	17	)	)	PUNCT
ejpam-502	531	18	.	.	PUNCT
ejpam-502	532	1	uniqueness	uniqueness	NOUN
ejpam-502	532	2	of	of	ADP
ejpam-502	532	3	the	the	DET
ejpam-502	532	4	pseudo	pseudo	NOUN
ejpam-502	532	5	-	-	ADJ
ejpam-502	532	6	infinitesimal	infinitesimal	ADJ
ejpam-502	532	7	generator	generator	NOUN
ejpam-502	532	8	,	,	PUNCT
ejpam-502	532	9	implies	imply	VERB
ejpam-502	532	10	that	that	SCONJ
ejpam-502	532	11	the	the	DET
ejpam-502	532	12	linear	linear	PROPN
ejpam-502	532	13	transformation	transformation	NOUN
ejpam-502	532	14	�	�	PROPN
ejpam-502	532	15	a1	a1	PROPN
ejpam-502	533	1	⊗	⊗	PROPN
ejpam-502	533	2	i	i	PRON
ejpam-502	533	3	,	,	PUNCT
ejpam-502	534	1	i	i	PROPN
ejpam-502	534	2	⊗	⊗	PROPN
ejpam-502	534	3	a2	a2	PROPN
ejpam-502	534	4	�	�	PROPN
ejpam-502	534	5	=	=	PUNCT
ejpam-502	534	6	a.	a.	NOUN
ejpam-502	534	7	that	that	PRON
ejpam-502	534	8	is	be	AUX
ejpam-502	534	9	a	a	DET
ejpam-502	534	10	�	�	PROPN
ejpam-502	534	11	a	a	DET
ejpam-502	534	12	b	b	PROPN
ejpam-502	534	13	�	�	PROPN
ejpam-502	534	14	=	=	SYM
ejpam-502	534	15	�	�	PROPN
ejpam-502	534	16	a1	a1	NOUN
ejpam-502	535	1	⊗	⊗	PROPN
ejpam-502	535	2	i	i	PRON
ejpam-502	535	3	,	,	PUNCT
ejpam-502	535	4	i	i	PROPN
ejpam-502	535	5	⊗	⊗	PROPN
ejpam-502	535	6	a2	a2	PROPN
ejpam-502	535	7	�	�	PROPN
ejpam-502	535	8	�	�	PROPN
ejpam-502	535	9	a	a	DET
ejpam-502	535	10	b	b	PROPN
ejpam-502	535	11	�	�	PROPN
ejpam-502	535	12	for	for	ADP
ejpam-502	535	13	all	all	PRON
ejpam-502	535	14	(	(	PUNCT
ejpam-502	535	15	a	a	DET
ejpam-502	535	16	,	,	PUNCT
ejpam-502	535	17	b	b	NOUN
ejpam-502	535	18	)	)	PUNCT
ejpam-502	535	19	in	in	ADP
ejpam-502	535	20	r	r	NOUN
ejpam-502	535	21	+2	+2	PROPN
ejpam-502	535	22	.	.	PUNCT
ejpam-502	536	1	in	in	ADP
ejpam-502	536	2	particular	particular	ADJ
ejpam-502	536	3	,	,	PUNCT
ejpam-502	536	4	for	for	ADP
ejpam-502	536	5	(	(	PUNCT
ejpam-502	536	6	a	a	DET
ejpam-502	536	7	,	,	PUNCT
ejpam-502	536	8	b	b	NOUN
ejpam-502	536	9	)	)	PUNCT
ejpam-502	536	10	=	=	SYM
ejpam-502	536	11	(	(	PUNCT
ejpam-502	536	12	0,1	0,1	NUM
ejpam-502	536	13	)	)	PUNCT
ejpam-502	536	14	,	,	PUNCT
ejpam-502	536	15	and	and	CCONJ
ejpam-502	536	16	(	(	PUNCT
ejpam-502	536	17	a	a	DET
ejpam-502	536	18	,	,	PUNCT
ejpam-502	536	19	b	b	NOUN
ejpam-502	536	20	)	)	PUNCT
ejpam-502	536	21	=	=	SYM
ejpam-502	536	22	(	(	PUNCT
ejpam-502	536	23	1,0	1,0	NUM
ejpam-502	536	24	)	)	PUNCT
ejpam-502	536	25	.	.	PUNCT
ejpam-502	537	1	hence	hence	ADV
ejpam-502	537	2	(	(	PUNCT
ejpam-502	537	3	i	i	NOUN
ejpam-502	537	4	)	)	PUNCT
ejpam-502	537	5	is	be	AUX
ejpam-502	537	6	fulfilled	fulfil	VERB
ejpam-502	537	7	.	.	PUNCT
ejpam-502	538	1	theorem	theorem	NOUN
ejpam-502	538	2	5	5	NUM
ejpam-502	538	3	.	.	PUNCT
ejpam-502	539	1	let	let	VERB
ejpam-502	539	2	x	x	PRON
ejpam-502	539	3	,	,	PUNCT
ejpam-502	539	4	y	y	PROPN
ejpam-502	539	5	be	be	VERB
ejpam-502	539	6	banach	banach	ADV
ejpam-502	539	7	spaces	space	NOUN
ejpam-502	539	8	,	,	PUNCT
ejpam-502	539	9	and	and	CCONJ
ejpam-502	539	10	(	(	PUNCT
ejpam-502	539	11	t	t	PROPN
ejpam-502	539	12	(	(	PUNCT
ejpam-502	539	13	s)⊗	s)⊗	PROPN
ejpam-502	539	14	s(t))s	s(t))s	PROPN
ejpam-502	539	15	,	,	PUNCT
ejpam-502	539	16	t≥0	t≥0	NOUN
ejpam-502	539	17	be	be	AUX
ejpam-502	539	18	a	a	DET
ejpam-502	539	19	c0	c0	PROPN
ejpam-502	539	20	t.p.s	t.p.s	PROPN
ejpam-502	539	21	.	.	PUNCT
ejpam-502	540	1	on	on	ADP
ejpam-502	540	2	the	the	DET
ejpam-502	540	3	banach	banach	NOUN
ejpam-502	540	4	space	space	NOUN
ejpam-502	540	5	x	x	INTJ
ejpam-502	540	6	α⊗	α⊗	VERB
ejpam-502	540	7	y	y	PROPN
ejpam-502	540	8	with	with	ADP
ejpam-502	540	9	infinitesimal	infinitesimal	ADJ
ejpam-502	540	10	generator	generator	NOUN
ejpam-502	540	11	a	a	X
ejpam-502	540	12	=	=	X
ejpam-502	540	13	(	(	PUNCT
ejpam-502	540	14	a1⊗	a1⊗	X
ejpam-502	540	15	i	i	PRON
ejpam-502	540	16	,	,	PUNCT
ejpam-502	540	17	i	i	PROPN
ejpam-502	540	18	⊗	⊗	PROPN
ejpam-502	540	19	a2	a2	PROPN
ejpam-502	540	20	)	)	PUNCT
ejpam-502	540	21	.	.	PUNCT
ejpam-502	541	1	if	if	SCONJ
ejpam-502	541	2	λ	λ	PROPN
ejpam-502	541	3	∈	∈	PROPN
ejpam-502	541	4	ρ	ρ	PROPN
ejpam-502	541	5	�	�	PROPN
ejpam-502	541	6	(	(	PUNCT
ejpam-502	541	7	a1⊗	a1⊗	X
ejpam-502	541	8	i	i	PRON
ejpam-502	541	9	,	,	PUNCT
ejpam-502	541	10	i	i	PROPN
ejpam-502	541	11	⊗	⊗	PROPN
ejpam-502	541	12	a2	a2	PROPN
ejpam-502	541	13	)	)	PUNCT
ejpam-502	541	14	�	�	PROPN
ejpam-502	541	15	a	a	DET
ejpam-502	541	16	b	b	PROPN
ejpam-502	541	17	�	�	PROPN
ejpam-502	541	18	�	�	PROPN
ejpam-502	541	19	,	,	PUNCT
ejpam-502	541	20	where	where	SCONJ
ejpam-502	541	21	(	(	PUNCT
ejpam-502	541	22	a	a	DET
ejpam-502	541	23	,	,	PUNCT
ejpam-502	541	24	b	b	NOUN
ejpam-502	541	25	)	)	PUNCT
ejpam-502	541	26	∈r+2	∈r+2	NUM
ejpam-502	541	27	,	,	PUNCT
ejpam-502	541	28	and	and	CCONJ
ejpam-502	541	29	λ	λ	X
ejpam-502	541	30	>	>	X
ejpam-502	541	31	(	(	PUNCT
ejpam-502	541	32	a+	a+	PUNCT
ejpam-502	541	33	b)max	b)max	PROPN
ejpam-502	541	34	i=1,2	i=1,2	ADJ
ejpam-502	541	35	�	�	PROPN
ejpam-502	541	36	ω(ai	ω(ai	ADJ
ejpam-502	541	37	)	)	PUNCT
ejpam-502	541	38	�	�	PROPN
ejpam-502	541	39	,	,	PUNCT
ejpam-502	541	40	where	where	SCONJ
ejpam-502	541	41	0	0	NUM
ejpam-502	541	42	<	<	NOUN
ejpam-502	541	43	ω(ai	ω(ai	ADJ
ejpam-502	541	44	)	)	PUNCT
ejpam-502	541	45	∈	∈	PROPN
ejpam-502	541	46	ρ(ai	ρ(ai	NOUN
ejpam-502	541	47	)	)	PUNCT
ejpam-502	541	48	,	,	PUNCT
ejpam-502	541	49	for	for	ADP
ejpam-502	541	50	i	i	PROPN
ejpam-502	541	51	=	=	SYM
ejpam-502	541	52	1,2	1,2	NUM
ejpam-502	541	53	,	,	PUNCT
ejpam-502	541	54	then	then	ADV
ejpam-502	541	55	�	�	PROPN
ejpam-502	541	56	rλ	rλ	ADP
ejpam-502	541	57	�	�	PROPN
ejpam-502	541	58	(	(	PUNCT
ejpam-502	541	59	a1⊗	a1⊗	X
ejpam-502	541	60	i	i	PRON
ejpam-502	541	61	,	,	PUNCT
ejpam-502	541	62	,	,	PUNCT
ejpam-502	541	63	i	i	PROPN
ejpam-502	541	64	⊗	⊗	PROPN
ejpam-502	541	65	a2	a2	PROPN
ejpam-502	541	66	)	)	PUNCT
ejpam-502	541	67	�	�	PROPN
ejpam-502	541	68	a	a	DET
ejpam-502	541	69	b	b	PROPN
ejpam-502	541	70	�	�	PROPN
ejpam-502	541	71	�	�	PROPN
ejpam-502	541	72	�	�	PROPN
ejpam-502	541	73	�	�	PROPN
ejpam-502	541	74	x	x	SYM
ejpam-502	541	75	⊗	⊗	PROPN
ejpam-502	541	76	y	y	PROPN
ejpam-502	541	77	�	�	PROPN
ejpam-502	541	78	=	=	SYM
ejpam-502	541	79	∞∫	∞∫	PROPN
ejpam-502	541	80	0	0	NUM
ejpam-502	541	81	e−λt	e−λt	PROPN
ejpam-502	541	82	(	(	PUNCT
ejpam-502	541	83	t	t	PROPN
ejpam-502	541	84	(	(	PUNCT
ejpam-502	541	85	at)⊗	at)⊗	PROPN
ejpam-502	541	86	s(bt	s(bt	PROPN
ejpam-502	541	87	)	)	PUNCT
ejpam-502	541	88	)	)	PUNCT
ejpam-502	541	89	�	�	PROPN
ejpam-502	542	1	x	x	PUNCT
ejpam-502	543	1	⊗	⊗	PROPN
ejpam-502	543	2	y	y	PROPN
ejpam-502	543	3	�	�	PROPN
ejpam-502	543	4	d	d	PROPN
ejpam-502	543	5	t.	t.	PROPN
ejpam-502	543	6	(	(	PUNCT
ejpam-502	543	7	3	3	NUM
ejpam-502	543	8	)	)	PUNCT
ejpam-502	543	9	proof	proof	NOUN
ejpam-502	543	10	.	.	PUNCT
ejpam-502	544	1	let	let	VERB
ejpam-502	544	2	x	x	SYM
ejpam-502	544	3	∈	∈	PROPN
ejpam-502	544	4	x	x	X
ejpam-502	544	5	,	,	PUNCT
ejpam-502	544	6	y	y	PROPN
ejpam-502	544	7	∈	∈	PROPN
ejpam-502	544	8	y	y	PROPN
ejpam-502	544	9	,	,	PUNCT
ejpam-502	544	10	(	(	PUNCT
ejpam-502	544	11	a	a	DET
ejpam-502	544	12	,	,	PUNCT
ejpam-502	544	13	b	b	NOUN
ejpam-502	544	14	)	)	PUNCT
ejpam-502	544	15	∈r+2	∈r+2	NUM
ejpam-502	544	16	,	,	PUNCT
ejpam-502	544	17	and	and	CCONJ
ejpam-502	544	18	λ	λ	PROPN
ejpam-502	544	19	be	be	AUX
ejpam-502	544	20	as	as	SCONJ
ejpam-502	544	21	given	give	VERB
ejpam-502	544	22	.	.	PUNCT
ejpam-502	545	1	define	define	VERB
ejpam-502	545	2	r	r	NOUN
ejpam-502	545	3	(	(	PUNCT
ejpam-502	545	4	λ	λ	NOUN
ejpam-502	545	5	)	)	PUNCT
ejpam-502	545	6	�	�	PROPN
ejpam-502	545	7	x	x	PUNCT
ejpam-502	545	8	⊗	⊗	PROPN
ejpam-502	545	9	y	y	PROPN
ejpam-502	545	10	�	�	PROPN
ejpam-502	545	11	=	=	SYM
ejpam-502	545	12	∞∫	∞∫	PROPN
ejpam-502	545	13	0	0	NUM
ejpam-502	545	14	e−λt	e−λt	PROPN
ejpam-502	545	15	(	(	PUNCT
ejpam-502	545	16	t	t	PROPN
ejpam-502	545	17	(	(	PUNCT
ejpam-502	545	18	at)⊗	at)⊗	PROPN
ejpam-502	545	19	s(bt	s(bt	PROPN
ejpam-502	545	20	)	)	PUNCT
ejpam-502	545	21	)	)	PUNCT
ejpam-502	545	22	�	�	PROPN
ejpam-502	546	1	x	x	PUNCT
ejpam-502	546	2	⊗	⊗	PROPN
ejpam-502	546	3	y	y	PROPN
ejpam-502	546	4	�	�	PROPN
ejpam-502	546	5	d	d	PROPN
ejpam-502	546	6	t.	t.	PROPN
ejpam-502	546	7	r.	r.	PROPN
ejpam-502	546	8	khalil	khalil	PROPN
ejpam-502	546	9	,	,	PUNCT
ejpam-502	546	10	r.	r.	PROPN
ejpam-502	546	11	al	al	PROPN
ejpam-502	546	12	-	-	PUNCT
ejpam-502	546	13	mirbati	mirbati	PROPN
ejpam-502	546	14	,	,	PUNCT
ejpam-502	546	15	d.	d.	PROPN
ejpam-502	546	16	drissi	drissi	PROPN
ejpam-502	546	17	/	/	PUNCT
ejpam-502	546	18	eur	eur	PROPN
ejpam-502	546	19	.	.	PUNCT
ejpam-502	547	1	j.	j.	PROPN
ejpam-502	547	2	pure	pure	PROPN
ejpam-502	547	3	appl	appl	PROPN
ejpam-502	547	4	.	.	PROPN
ejpam-502	547	5	math	math	PROPN
ejpam-502	547	6	,	,	PUNCT
ejpam-502	547	7	3	3	NUM
ejpam-502	547	8	(	(	PUNCT
ejpam-502	547	9	2010	2010	NUM
ejpam-502	547	10	)	)	PUNCT
ejpam-502	547	11	,	,	PUNCT
ejpam-502	547	12	881	881	NUM
ejpam-502	547	13	-	-	SYM
ejpam-502	547	14	898	898	NUM
ejpam-502	547	15	896	896	NUM
ejpam-502	547	16	since	since	SCONJ
ejpam-502	547	17	the	the	DET
ejpam-502	547	18	map	map	NOUN
ejpam-502	547	19	t	t	PROPN
ejpam-502	547	20	7→	7→	NUM
ejpam-502	547	21	(	(	PUNCT
ejpam-502	547	22	t	t	PROPN
ejpam-502	547	23	(	(	PUNCT
ejpam-502	547	24	at)⊗	at)⊗	PROPN
ejpam-502	547	25	s(bt	s(bt	PROPN
ejpam-502	547	26	)	)	PUNCT
ejpam-502	547	27	)	)	PUNCT
ejpam-502	547	28	�	�	PROPN
ejpam-502	548	1	x	x	PUNCT
ejpam-502	548	2	⊗	⊗	PROPN
ejpam-502	548	3	y	y	PROPN
ejpam-502	548	4	�	�	PROPN
ejpam-502	548	5	is	be	AUX
ejpam-502	548	6	continuous	continuous	ADJ
ejpam-502	548	7	and	and	CCONJ
ejpam-502	548	8	λ	λ	X
ejpam-502	548	9	>	>	X
ejpam-502	548	10	(	(	PUNCT
ejpam-502	548	11	a+	a+	PUNCT
ejpam-502	548	12	b)max	b)max	PROPN
ejpam-502	548	13	i=1,2	i=1,2	ADJ
ejpam-502	548	14	�	�	PROPN
ejpam-502	548	15	ω(ai	ω(ai	ADJ
ejpam-502	548	16	)	)	PUNCT
ejpam-502	548	17	�	�	PROPN
ejpam-502	548	18	,	,	PUNCT
ejpam-502	548	19	the	the	DET
ejpam-502	548	20	integral	integral	ADJ
ejpam-502	548	21	exists	exist	VERB
ejpam-502	548	22	as	as	ADP
ejpam-502	548	23	an	an	DET
ejpam-502	548	24	improper	improper	ADJ
ejpam-502	548	25	riemann	riemann	PROPN
ejpam-502	548	26	integral	integral	ADJ
ejpam-502	548	27	and	and	CCONJ
ejpam-502	548	28	defines	define	VERB
ejpam-502	548	29	a	a	DET
ejpam-502	548	30	bounded	bounded	ADJ
ejpam-502	548	31	linear	linear	ADJ
ejpam-502	548	32	operator	operator	NOUN
ejpam-502	548	33	on	on	ADP
ejpam-502	548	34	x	x	PROPN
ejpam-502	548	35	⊗	⊗	PROPN
ejpam-502	548	36	y	y	PROPN
ejpam-502	548	37	.	.	PUNCT
ejpam-502	549	1	further	far	ADV
ejpam-502	549	2	,	,	PUNCT
ejpam-502	549	3	for	for	ADP
ejpam-502	549	4	h	h	NOUN
ejpam-502	549	5	>	>	X
ejpam-502	549	6	0	0	PUNCT
ejpam-502	549	7	t	t	PROPN
ejpam-502	549	8	(	(	PUNCT
ejpam-502	549	9	ah)⊗	ah)⊗	PROPN
ejpam-502	549	10	s	s	PART
ejpam-502	549	11	(	(	PUNCT
ejpam-502	549	12	bh)−	bh)−	PUNCT
ejpam-502	549	13	i	i	PRON
ejpam-502	550	1	⊗	⊗	VERB
ejpam-502	551	1	i	i	PRON
ejpam-502	551	2	h	h	PROPN
ejpam-502	551	3	r(λ	r(λ	NOUN
ejpam-502	551	4	)	)	PUNCT
ejpam-502	551	5	�	�	PROPN
ejpam-502	552	1	x	x	PUNCT
ejpam-502	552	2	⊗	⊗	PROPN
ejpam-502	552	3	y	y	PROPN
ejpam-502	552	4	�	�	PROPN
ejpam-502	552	5	=	=	SYM
ejpam-502	552	6	1	1	NUM
ejpam-502	552	7	h	h	NOUN
ejpam-502	552	8	∞∫	∞∫	PROPN
ejpam-502	552	9	0	0	NUM
ejpam-502	552	10	e−λt	e−λt	PROPN
ejpam-502	552	11	�	�	PROPN
ejpam-502	552	12	(	(	PUNCT
ejpam-502	552	13	t	t	PROPN
ejpam-502	552	14	(	(	PUNCT
ejpam-502	552	15	a(t	a(t	PROPN
ejpam-502	552	16	+	+	PUNCT
ejpam-502	553	1	h)⊗	h)⊗	NUM
ejpam-502	553	2	s	s	X
ejpam-502	553	3	(	(	PUNCT
ejpam-502	553	4	b	b	PROPN
ejpam-502	553	5	(	(	PUNCT
ejpam-502	553	6	t	t	NOUN
ejpam-502	553	7	+	+	CCONJ
ejpam-502	553	8	h	h	NOUN
ejpam-502	553	9	)	)	PUNCT
ejpam-502	553	10	)	)	PUNCT
ejpam-502	553	11	�	�	PROPN
ejpam-502	553	12	x	x	PUNCT
ejpam-502	553	13	⊗	⊗	PROPN
ejpam-502	553	14	y	y	PROPN
ejpam-502	553	15	�	�	PROPN
ejpam-502	553	16	−	−	PROPN
ejpam-502	553	17	(	(	PUNCT
ejpam-502	553	18	t	t	PROPN
ejpam-502	553	19	(	(	PUNCT
ejpam-502	553	20	at)⊗	at)⊗	PROPN
ejpam-502	553	21	s	s	X
ejpam-502	553	22	(	(	PUNCT
ejpam-502	553	23	bt	bt	NOUN
ejpam-502	553	24	)	)	PUNCT
ejpam-502	553	25	)	)	PUNCT
ejpam-502	553	26	�	�	PROPN
ejpam-502	553	27	x	x	PUNCT
ejpam-502	553	28	⊗	⊗	PROPN
ejpam-502	553	29	y	y	PROPN
ejpam-502	553	30	�	�	PROPN
ejpam-502	553	31	�	�	PROPN
ejpam-502	553	32	d	d	PROPN
ejpam-502	553	33	t	t	PROPN
ejpam-502	553	34	=	=	SYM
ejpam-502	553	35	1	1	NUM
ejpam-502	553	36	h	h	NOUN
ejpam-502	553	37			NOUN
ejpam-502	553	38			PROPN
ejpam-502	553	39	∞∫	∞∫	PROPN
ejpam-502	553	40	h	h	NOUN
ejpam-502	553	41	e−λ(t−h	e−λ(t−h	NUM
ejpam-502	553	42	)	)	PUNCT
ejpam-502	553	43	(	(	PUNCT
ejpam-502	553	44	t	t	PROPN
ejpam-502	553	45	(	(	PUNCT
ejpam-502	553	46	at)⊗	at)⊗	PROPN
ejpam-502	553	47	s	s	X
ejpam-502	553	48	(	(	PUNCT
ejpam-502	553	49	bt	bt	NOUN
ejpam-502	553	50	)	)	PUNCT
ejpam-502	553	51	)	)	PUNCT
ejpam-502	553	52	�	�	PROPN
ejpam-502	553	53	x	x	PUNCT
ejpam-502	553	54	⊗	⊗	PROPN
ejpam-502	553	55	y	y	PROPN
ejpam-502	553	56	�	�	PROPN
ejpam-502	553	57	d	d	PROPN
ejpam-502	553	58	t	t	PROPN
ejpam-502	553	59	−	−	PROPN
ejpam-502	553	60	∞∫	∞∫	PROPN
ejpam-502	553	61	0	0	NUM
ejpam-502	553	62	e−λt	e−λt	PROPN
ejpam-502	553	63	(	(	PUNCT
ejpam-502	553	64	t	t	PROPN
ejpam-502	553	65	(	(	PUNCT
ejpam-502	553	66	at)⊗	at)⊗	PROPN
ejpam-502	553	67	s	s	X
ejpam-502	553	68	(	(	PUNCT
ejpam-502	553	69	bt	bt	NOUN
ejpam-502	553	70	)	)	PUNCT
ejpam-502	553	71	)	)	PUNCT
ejpam-502	553	72	�	�	PROPN
ejpam-502	553	73	x	x	PUNCT
ejpam-502	553	74	⊗	⊗	PROPN
ejpam-502	553	75	y	y	PROPN
ejpam-502	553	76	,	,	PUNCT
ejpam-502	553	77	�	�	PROPN
ejpam-502	553	78	d	d	PROPN
ejpam-502	553	79	t	t	PROPN
ejpam-502	553	80			PUNCT
ejpam-502	554	1			NOUN
ejpam-502	554	2	=	=	SYM
ejpam-502	554	3	eλh	eλh	PROPN
ejpam-502	554	4	h	h	NOUN
ejpam-502	554	5	∞∫	∞∫	PROPN
ejpam-502	554	6	h	h	PROPN
ejpam-502	554	7	e−λt	e−λt	PROPN
ejpam-502	554	8	(	(	PUNCT
ejpam-502	554	9	t	t	PROPN
ejpam-502	554	10	(	(	PUNCT
ejpam-502	554	11	at)⊗	at)⊗	PROPN
ejpam-502	554	12	s	s	X
ejpam-502	554	13	(	(	PUNCT
ejpam-502	554	14	bt	bt	NOUN
ejpam-502	554	15	)	)	PUNCT
ejpam-502	554	16	)	)	PUNCT
ejpam-502	554	17	�	�	PROPN
ejpam-502	555	1	x	x	PUNCT
ejpam-502	555	2	⊗	⊗	PROPN
ejpam-502	555	3	y	y	PROPN
ejpam-502	555	4	�	�	PROPN
ejpam-502	555	5	d	d	PROPN
ejpam-502	555	6	t	t	PROPN
ejpam-502	555	7	−	−	PROPN
ejpam-502	555	8	1	1	NUM
ejpam-502	555	9	h	h	NOUN
ejpam-502	555	10	∞∫	∞∫	PROPN
ejpam-502	555	11	0	0	NUM
ejpam-502	555	12	e−λt	e−λt	PROPN
ejpam-502	555	13	(	(	PUNCT
ejpam-502	555	14	t	t	PROPN
ejpam-502	555	15	(	(	PUNCT
ejpam-502	555	16	at)⊗	at)⊗	PROPN
ejpam-502	555	17	s	s	X
ejpam-502	555	18	(	(	PUNCT
ejpam-502	555	19	bt	bt	NOUN
ejpam-502	555	20	)	)	PUNCT
ejpam-502	555	21	)	)	PUNCT
ejpam-502	555	22	�	�	PROPN
ejpam-502	555	23	x	x	PUNCT
ejpam-502	555	24	⊗	⊗	PROPN
ejpam-502	555	25	y	y	PROPN
ejpam-502	555	26	,	,	PUNCT
ejpam-502	555	27	�	�	PROPN
ejpam-502	555	28	d	d	X
ejpam-502	555	29	t	t	PROPN
ejpam-502	555	30	=	=	SYM
ejpam-502	555	31	eλh−	eλh−	PROPN
ejpam-502	555	32	1	1	NUM
ejpam-502	555	33	h	h	NOUN
ejpam-502	555	34	∞∫	∞∫	PROPN
ejpam-502	555	35	0	0	NUM
ejpam-502	555	36	e−λt	e−λt	PROPN
ejpam-502	555	37	(	(	PUNCT
ejpam-502	555	38	t	t	PROPN
ejpam-502	555	39	(	(	PUNCT
ejpam-502	555	40	at)⊗	at)⊗	PROPN
ejpam-502	555	41	s	s	X
ejpam-502	555	42	(	(	PUNCT
ejpam-502	555	43	bt	bt	NOUN
ejpam-502	555	44	)	)	PUNCT
ejpam-502	555	45	)	)	PUNCT
ejpam-502	555	46	�	�	PROPN
ejpam-502	555	47	x	x	PUNCT
ejpam-502	555	48	⊗	⊗	PROPN
ejpam-502	555	49	y	y	PROPN
ejpam-502	555	50	�	�	PROPN
ejpam-502	555	51	d	d	PROPN
ejpam-502	555	52	t	t	PROPN
ejpam-502	555	53	−	−	PROPN
ejpam-502	555	54	eλh	eλh	NOUN
ejpam-502	555	55	h	h	NOUN
ejpam-502	555	56	h∫	h∫	PROPN
ejpam-502	555	57	0	0	PROPN
ejpam-502	555	58	e−λt	e−λt	NOUN
ejpam-502	555	59	(	(	PUNCT
ejpam-502	555	60	t	t	PROPN
ejpam-502	555	61	(	(	PUNCT
ejpam-502	555	62	at)⊗	at)⊗	PROPN
ejpam-502	555	63	s	s	X
ejpam-502	555	64	(	(	PUNCT
ejpam-502	555	65	bt	bt	NOUN
ejpam-502	555	66	)	)	PUNCT
ejpam-502	555	67	)	)	PUNCT
ejpam-502	555	68	�	�	PROPN
ejpam-502	555	69	x	x	PUNCT
ejpam-502	555	70	⊗	⊗	PROPN
ejpam-502	555	71	y	y	PROPN
ejpam-502	555	72	�	�	PROPN
ejpam-502	556	1	d	d	PROPN
ejpam-502	556	2	t.	t.	NOUN
ejpam-502	556	3	taking	take	VERB
ejpam-502	556	4	the	the	DET
ejpam-502	556	5	limit	limit	NOUN
ejpam-502	556	6	of	of	ADP
ejpam-502	556	7	both	both	DET
ejpam-502	556	8	sides	side	NOUN
ejpam-502	556	9	as	as	ADP
ejpam-502	556	10	h→	h→	NOUN
ejpam-502	556	11	0	0	NUM
ejpam-502	556	12	+	+	NUM
ejpam-502	556	13	yields	yield	NOUN
ejpam-502	556	14	�	�	PROPN
ejpam-502	556	15	(	(	PUNCT
ejpam-502	556	16	a1⊗	a1⊗	X
ejpam-502	557	1	i	i	PRON
ejpam-502	557	2	,	,	PUNCT
ejpam-502	557	3	i	i	PROPN
ejpam-502	557	4	⊗	⊗	PROPN
ejpam-502	557	5	a2	a2	PROPN
ejpam-502	557	6	)	)	PUNCT
ejpam-502	557	7	�	�	PROPN
ejpam-502	557	8	a	a	DET
ejpam-502	557	9	b	b	PROPN
ejpam-502	557	10	�	�	PROPN
ejpam-502	557	11	�	�	PROPN
ejpam-502	557	12	�	�	PROPN
ejpam-502	557	13	r(λ	r(λ	PROPN
ejpam-502	557	14	)	)	PUNCT
ejpam-502	557	15	�	�	PROPN
ejpam-502	557	16	x	x	PUNCT
ejpam-502	557	17	⊗	⊗	PROPN
ejpam-502	557	18	y	y	PROPN
ejpam-502	557	19	�	�	PROPN
ejpam-502	557	20	�	�	PROPN
ejpam-502	557	21	=	=	SYM
ejpam-502	557	22	λr(λ	λr(λ	PRON
ejpam-502	557	23	)	)	PUNCT
ejpam-502	557	24	�	�	PROPN
ejpam-502	557	25	x	x	PUNCT
ejpam-502	557	26	⊗	⊗	PROPN
ejpam-502	557	27	y	y	PROPN
ejpam-502	557	28	�	�	PROPN
ejpam-502	557	29	−	−	PROPN
ejpam-502	557	30	�	�	PROPN
ejpam-502	557	31	x	x	PROPN
ejpam-502	557	32	⊗	⊗	PROPN
ejpam-502	557	33	y	y	PROPN
ejpam-502	557	34	�	�	PROPN
ejpam-502	557	35	.	.	PUNCT
ejpam-502	558	1	this	this	PRON
ejpam-502	558	2	implies	imply	VERB
ejpam-502	558	3	that	that	SCONJ
ejpam-502	558	4	r(λ	r(λ	NOUN
ejpam-502	558	5	)	)	PUNCT
ejpam-502	558	6	�	�	PROPN
ejpam-502	558	7	x	x	PUNCT
ejpam-502	558	8	⊗	⊗	PROPN
ejpam-502	558	9	y	y	PROPN
ejpam-502	558	10	�	�	PROPN
ejpam-502	558	11	∈d	∈d	PROPN
ejpam-502	558	12	�	�	PROPN
ejpam-502	558	13	(	(	PUNCT
ejpam-502	558	14	a1⊗	a1⊗	X
ejpam-502	558	15	i	i	PRON
ejpam-502	558	16	,	,	PUNCT
ejpam-502	558	17	i	i	PROPN
ejpam-502	558	18	⊗	⊗	PROPN
ejpam-502	558	19	a2	a2	PROPN
ejpam-502	558	20	)	)	PUNCT
ejpam-502	558	21	�	�	PROPN
ejpam-502	558	22	a	a	DET
ejpam-502	558	23	b	b	PROPN
ejpam-502	558	24	�	�	PROPN
ejpam-502	558	25	�	�	PROPN
ejpam-502	558	26	for	for	ADP
ejpam-502	558	27	all	all	DET
ejpam-502	558	28	x	x	PROPN
ejpam-502	558	29	⊗	⊗	PROPN
ejpam-502	558	30	y	y	PROPN
ejpam-502	558	31	∈	∈	PROPN
ejpam-502	558	32	x	x	PUNCT
ejpam-502	558	33	⊗	⊗	PROPN
ejpam-502	558	34	y	y	PROPN
ejpam-502	558	35	,	,	PUNCT
ejpam-502	558	36	and	and	CCONJ
ejpam-502	558	37	�	�	PROPN
ejpam-502	558	38	λi	λi	CCONJ
ejpam-502	558	39	⊗	⊗	PROPN
ejpam-502	559	1	i	i	PRON
ejpam-502	559	2	−	−	PROPN
ejpam-502	560	1	(	(	PUNCT
ejpam-502	560	2	a1⊗	a1⊗	X
ejpam-502	560	3	i	i	PRON
ejpam-502	560	4	,	,	PUNCT
ejpam-502	560	5	i	i	PROPN
ejpam-502	560	6	⊗a2	⊗a2	NOUN
ejpam-502	560	7	)	)	PUNCT
ejpam-502	560	8	�	�	PROPN
ejpam-502	560	9	a	a	DET
ejpam-502	560	10	b	b	PROPN
ejpam-502	560	11	�	�	PROPN
ejpam-502	560	12	�	�	PROPN
ejpam-502	560	13	r(λ	r(λ	PROPN
ejpam-502	560	14	)	)	PUNCT
ejpam-502	561	1	=	=	PUNCT
ejpam-502	562	1	i	i	PRON
ejpam-502	562	2	⊗	⊗	VERB
ejpam-502	562	3	i	i	PRON
ejpam-502	562	4	on	on	ADP
ejpam-502	562	5	x	x	PROPN
ejpam-502	562	6	⊗	⊗	PROPN
ejpam-502	562	7	y.	y.	PROPN
ejpam-502	562	8	now	now	ADV
ejpam-502	562	9	,	,	PUNCT
ejpam-502	562	10	for	for	ADP
ejpam-502	562	11	x	x	PROPN
ejpam-502	562	12	⊗	⊗	PROPN
ejpam-502	562	13	y	y	PROPN
ejpam-502	562	14	∈d	∈d	PROPN
ejpam-502	562	15	�	�	PROPN
ejpam-502	562	16	(	(	PUNCT
ejpam-502	562	17	a1	a1	PROPN
ejpam-502	562	18	⊗	⊗	PROPN
ejpam-502	562	19	i	i	PRON
ejpam-502	562	20	,	,	PUNCT
ejpam-502	562	21	i	i	PROPN
ejpam-502	562	22	⊗	⊗	PROPN
ejpam-502	562	23	a2	a2	PROPN
ejpam-502	562	24	)	)	PUNCT
ejpam-502	562	25	�	�	PROPN
ejpam-502	562	26	a	a	DET
ejpam-502	562	27	b	b	PROPN
ejpam-502	562	28	�	�	PROPN
ejpam-502	562	29	�	�	PROPN
ejpam-502	562	30	⊆d	⊆d	NOUN
ejpam-502	562	31	�	�	PROPN
ejpam-502	562	32	(	(	PUNCT
ejpam-502	562	33	a1	a1	PROPN
ejpam-502	563	1	⊗	⊗	PROPN
ejpam-502	564	1	i	i	PRON
ejpam-502	564	2	,	,	PUNCT
ejpam-502	564	3	i	i	PROPN
ejpam-502	564	4	⊗	⊗	PROPN
ejpam-502	564	5	a2	a2	PROPN
ejpam-502	564	6	)	)	PUNCT
ejpam-502	564	7	�	�	PROPN
ejpam-502	564	8	a	a	DET
ejpam-502	564	9	b	b	PROPN
ejpam-502	564	10	�	�	PROPN
ejpam-502	564	11	�	�	PROPN
ejpam-502	564	12	we	we	PRON
ejpam-502	564	13	have	have	VERB
ejpam-502	564	14	r(λ	r(λ	NOUN
ejpam-502	564	15	)	)	PUNCT
ejpam-502	564	16	�	�	PROPN
ejpam-502	564	17	�	�	PROPN
ejpam-502	564	18	(	(	PUNCT
ejpam-502	564	19	a1	a1	PROPN
ejpam-502	564	20	⊗	⊗	PROPN
ejpam-502	564	21	i	i	PRON
ejpam-502	564	22	,	,	PUNCT
ejpam-502	564	23	i	i	PROPN
ejpam-502	564	24	⊗	⊗	PROPN
ejpam-502	564	25	a2	a2	PROPN
ejpam-502	564	26	)	)	PUNCT
ejpam-502	564	27	�	�	PROPN
ejpam-502	564	28	a	a	DET
ejpam-502	564	29	b	b	PROPN
ejpam-502	564	30	�	�	PROPN
ejpam-502	564	31	�	�	PROPN
ejpam-502	564	32	�	�	PROPN
ejpam-502	564	33	x	x	SYM
ejpam-502	564	34	⊗	⊗	PROPN
ejpam-502	564	35	y	y	PROPN
ejpam-502	564	36	�	�	PROPN
ejpam-502	564	37	�	�	PROPN
ejpam-502	564	38	=	=	SYM
ejpam-502	564	39	∞∫	∞∫	PROPN
ejpam-502	564	40	0	0	NUM
ejpam-502	564	41	e−λt	e−λt	PROPN
ejpam-502	564	42	(	(	PUNCT
ejpam-502	564	43	t	t	PROPN
ejpam-502	564	44	(	(	PUNCT
ejpam-502	564	45	at)⊗	at)⊗	PROPN
ejpam-502	564	46	s	s	X
ejpam-502	564	47	(	(	PUNCT
ejpam-502	564	48	bt	bt	NOUN
ejpam-502	564	49	)	)	PUNCT
ejpam-502	564	50	)	)	PUNCT
ejpam-502	564	51	�	�	PROPN
ejpam-502	564	52	�	�	PROPN
ejpam-502	564	53	(	(	PUNCT
ejpam-502	564	54	a1	a1	PROPN
ejpam-502	564	55	⊗	⊗	PROPN
ejpam-502	564	56	i	i	PRON
ejpam-502	564	57	,	,	PUNCT
ejpam-502	564	58	i	i	PROPN
ejpam-502	564	59	⊗	⊗	PROPN
ejpam-502	564	60	a2	a2	PROPN
ejpam-502	564	61	)	)	PUNCT
ejpam-502	564	62	�	�	PROPN
ejpam-502	564	63	a	a	DET
ejpam-502	564	64	b	b	PROPN
ejpam-502	564	65	�	�	PROPN
ejpam-502	564	66	�	�	PROPN
ejpam-502	564	67	�	�	PROPN
ejpam-502	564	68	x	x	PROPN
ejpam-502	564	69	⊗	⊗	PROPN
ejpam-502	564	70	y	y	PROPN
ejpam-502	564	71	,	,	PUNCT
ejpam-502	564	72	�	�	PROPN
ejpam-502	564	73	�	�	PROPN
ejpam-502	564	74	d	d	PROPN
ejpam-502	564	75	t	t	PROPN
ejpam-502	564	76	=	=	SYM
ejpam-502	564	77	∞∫	∞∫	PROPN
ejpam-502	564	78	0	0	NUM
ejpam-502	564	79	e−λt	e−λt	PROPN
ejpam-502	564	80	�	�	PROPN
ejpam-502	564	81	�	�	PROPN
ejpam-502	564	82	a1	a1	PROPN
ejpam-502	564	83	⊗	⊗	PROPN
ejpam-502	564	84	i	i	PRON
ejpam-502	564	85	,	,	PUNCT
ejpam-502	564	86	i	i	PROPN
ejpam-502	564	87	⊗	⊗	PROPN
ejpam-502	564	88	a2	a2	PROPN
ejpam-502	564	89	�	�	PROPN
ejpam-502	564	90	�	�	PROPN
ejpam-502	564	91	a	a	DET
ejpam-502	564	92	b	b	PROPN
ejpam-502	564	93	�	�	PROPN
ejpam-502	564	94	�	�	PROPN
ejpam-502	564	95	�	�	PROPN
ejpam-502	564	96	(	(	PUNCT
ejpam-502	564	97	t	t	PROPN
ejpam-502	564	98	(	(	PUNCT
ejpam-502	564	99	at)⊗	at)⊗	PROPN
ejpam-502	564	100	s	s	X
ejpam-502	564	101	(	(	PUNCT
ejpam-502	564	102	bt	bt	NOUN
ejpam-502	564	103	)	)	PUNCT
ejpam-502	564	104	)	)	PUNCT
ejpam-502	564	105	�	�	PROPN
ejpam-502	565	1	x	x	PUNCT
ejpam-502	565	2	⊗	⊗	PROPN
ejpam-502	565	3	y	y	PROPN
ejpam-502	565	4	�	�	PROPN
ejpam-502	565	5	�	�	PROPN
ejpam-502	565	6	d	d	PROPN
ejpam-502	565	7	t	t	PROPN
ejpam-502	565	8	,	,	PUNCT
ejpam-502	565	9	references	reference	NOUN
ejpam-502	565	10	897	897	NUM
ejpam-502	565	11	by	by	ADP
ejpam-502	565	12	theorem	theorem	NOUN
ejpam-502	565	13	3	3	NUM
ejpam-502	565	14	.	.	PUNCT
ejpam-502	566	1	since	since	SCONJ
ejpam-502	566	2	(	(	PUNCT
ejpam-502	566	3	a1⊗	a1⊗	X
ejpam-502	566	4	i	i	PRON
ejpam-502	566	5	,	,	PUNCT
ejpam-502	566	6	i	i	PROPN
ejpam-502	566	7	⊗	⊗	PROPN
ejpam-502	566	8	a2	a2	PROPN
ejpam-502	566	9	)	)	PUNCT
ejpam-502	566	10	�	�	PROPN
ejpam-502	566	11	a	a	DET
ejpam-502	566	12	b	b	PROPN
ejpam-502	566	13	�	�	PROPN
ejpam-502	566	14	is	be	AUX
ejpam-502	566	15	closed	close	VERB
ejpam-502	566	16	by	by	ADP
ejpam-502	566	17	corollary	corollary	ADJ
ejpam-502	566	18	2	2	NUM
ejpam-502	566	19	,	,	PUNCT
ejpam-502	566	20	it	it	PRON
ejpam-502	566	21	follows	follow	VERB
ejpam-502	566	22	that	that	SCONJ
ejpam-502	566	23	the	the	DET
ejpam-502	566	24	right	right	ADJ
ejpam-502	566	25	-	-	PUNCT
ejpam-502	566	26	hand	hand	NOUN
ejpam-502	566	27	side	side	NOUN
ejpam-502	566	28	of	of	ADP
ejpam-502	566	29	(	(	PUNCT
ejpam-502	566	30	3	3	NUM
ejpam-502	566	31	)	)	PUNCT
ejpam-502	566	32	is	be	AUX
ejpam-502	566	33	�	�	PROPN
ejpam-502	566	34	�	�	PROPN
ejpam-502	566	35	a1	a1	NOUN
ejpam-502	566	36	⊗	⊗	PROPN
ejpam-502	566	37	i	i	PRON
ejpam-502	566	38	,	,	PUNCT
ejpam-502	566	39	,	,	PUNCT
ejpam-502	566	40	i	i	PROPN
ejpam-502	566	41	⊗	⊗	PROPN
ejpam-502	566	42	a2	a2	PROPN
ejpam-502	566	43	�	�	PROPN
ejpam-502	566	44	�	�	PROPN
ejpam-502	566	45	a	a	DET
ejpam-502	566	46	b	b	PROPN
ejpam-502	566	47	�	�	PROPN
ejpam-502	566	48	�	�	PROPN
ejpam-502	566	49	∞∫	∞∫	PROPN
ejpam-502	566	50	0	0	NUM
ejpam-502	566	51	e−λt	e−λt	PROPN
ejpam-502	566	52	(	(	PUNCT
ejpam-502	566	53	t	t	PROPN
ejpam-502	566	54	(	(	PUNCT
ejpam-502	566	55	at)⊗	at)⊗	PROPN
ejpam-502	566	56	s	s	X
ejpam-502	566	57	(	(	PUNCT
ejpam-502	566	58	bt	bt	NOUN
ejpam-502	566	59	)	)	PUNCT
ejpam-502	566	60	)	)	PUNCT
ejpam-502	566	61	�	�	PROPN
ejpam-502	567	1	x	x	PUNCT
ejpam-502	567	2	⊗	⊗	PROPN
ejpam-502	567	3	y	y	PROPN
ejpam-502	567	4	�	�	PROPN
ejpam-502	567	5	d	d	NOUN
ejpam-502	567	6	t	t	PROPN
ejpam-502	567	7	=	=	PUNCT
ejpam-502	567	8	(	(	PUNCT
ejpam-502	567	9	a1	a1	NOUN
ejpam-502	567	10	⊗	⊗	NOUN
ejpam-502	568	1	i	i	PRON
ejpam-502	568	2	,	,	PUNCT
ejpam-502	568	3	i	i	PROPN
ejpam-502	568	4	⊗	⊗	PROPN
ejpam-502	568	5	a2	a2	PROPN
ejpam-502	568	6	)	)	PUNCT
ejpam-502	568	7	�	�	PROPN
ejpam-502	568	8	a	a	DET
ejpam-502	568	9	b	b	PROPN
ejpam-502	568	10	�	�	PROPN
ejpam-502	568	11	�	�	PROPN
ejpam-502	568	12	r(λ	r(λ	PROPN
ejpam-502	568	13	)	)	PUNCT
ejpam-502	568	14	�	�	PROPN
ejpam-502	568	15	x	x	PUNCT
ejpam-502	568	16	⊗	⊗	PROPN
ejpam-502	568	17	y	y	PROPN
ejpam-502	568	18	�	�	PROPN
ejpam-502	568	19	�	�	PROPN
ejpam-502	568	20	.	.	PUNCT
ejpam-502	569	1	hence	hence	ADV
ejpam-502	569	2	,	,	PUNCT
ejpam-502	569	3	r(λ	r(λ	PROPN
ejpam-502	569	4	)	)	PUNCT
ejpam-502	569	5	�	�	PROPN
ejpam-502	569	6	λi	λi	ADP
ejpam-502	569	7	−	−	PROPN
ejpam-502	569	8	�	�	PROPN
ejpam-502	569	9	(	(	PUNCT
ejpam-502	569	10	a1⊗	a1⊗	X
ejpam-502	570	1	i	i	PRON
ejpam-502	570	2	,	,	PUNCT
ejpam-502	570	3	i	i	PROPN
ejpam-502	570	4	⊗a2	⊗a2	NOUN
ejpam-502	570	5	)	)	PUNCT
ejpam-502	570	6	�	�	PROPN
ejpam-502	570	7	a	a	DET
ejpam-502	570	8	b	b	PROPN
ejpam-502	570	9	�	�	PROPN
ejpam-502	570	10	�	�	PROPN
ejpam-502	570	11	�	�	PROPN
ejpam-502	570	12	�	�	PROPN
ejpam-502	570	13	x	x	SYM
ejpam-502	570	14	⊗	⊗	PROPN
ejpam-502	570	15	y	y	PROPN
ejpam-502	570	16	�	�	PROPN
ejpam-502	570	17	=	=	SYM
ejpam-502	570	18	�	�	PROPN
ejpam-502	570	19	x	x	SYM
ejpam-502	570	20	⊗	⊗	PROPN
ejpam-502	570	21	y	y	PROPN
ejpam-502	570	22	�	�	PROPN
ejpam-502	570	23	,	,	PUNCT
ejpam-502	570	24	for	for	ADP
ejpam-502	570	25	all	all	PRON
ejpam-502	570	26	x	x	SYM
ejpam-502	570	27	⊗	⊗	PROPN
ejpam-502	570	28	y	y	PROPN
ejpam-502	570	29	∈d	∈d	PROPN
ejpam-502	570	30	�	�	PROPN
ejpam-502	570	31	(	(	PUNCT
ejpam-502	570	32	a1	a1	PROPN
ejpam-502	570	33	⊗	⊗	PROPN
ejpam-502	570	34	i	i	PRON
ejpam-502	570	35	,	,	PUNCT
ejpam-502	570	36	i	i	PROPN
ejpam-502	570	37	⊗	⊗	PROPN
ejpam-502	570	38	a2	a2	PROPN
ejpam-502	570	39	)	)	PUNCT
ejpam-502	570	40	�	�	PROPN
ejpam-502	570	41	a	a	DET
ejpam-502	570	42	b	b	PROPN
ejpam-502	570	43	�	�	PROPN
ejpam-502	570	44	�	�	PROPN
ejpam-502	570	45	∩	∩	NOUN
ejpam-502	570	46	(	(	PUNCT
ejpam-502	570	47	x	x	PROPN
ejpam-502	570	48	⊗	⊗	PROPN
ejpam-502	570	49	y	y	PROPN
ejpam-502	570	50	)	)	PUNCT
ejpam-502	570	51	.	.	PUNCT
ejpam-502	571	1	since	since	SCONJ
ejpam-502	571	2	by	by	ADP
ejpam-502	571	3	corollary	corollary	ADJ
ejpam-502	571	4	1	1	NUM
ejpam-502	571	5	the	the	DET
ejpam-502	571	6	domain	domain	NOUN
ejpam-502	571	7	d	d	X
ejpam-502	571	8	�	�	PROPN
ejpam-502	571	9	(	(	PUNCT
ejpam-502	571	10	a1	a1	NOUN
ejpam-502	571	11	⊗	⊗	PROPN
ejpam-502	571	12	i	i	PRON
ejpam-502	571	13	,	,	PUNCT
ejpam-502	571	14	i	i	PROPN
ejpam-502	571	15	⊗	⊗	PROPN
ejpam-502	571	16	a2	a2	PROPN
ejpam-502	571	17	)	)	PUNCT
ejpam-502	571	18	�	�	PROPN
ejpam-502	571	19	a	a	DET
ejpam-502	571	20	b	b	PROPN
ejpam-502	571	21	�	�	PROPN
ejpam-502	571	22	�	�	PROPN
ejpam-502	571	23	is	be	AUX
ejpam-502	571	24	dense	dense	ADJ
ejpam-502	571	25	in	in	ADP
ejpam-502	571	26	x	x	SYM
ejpam-502	571	27	α⊗	α⊗	PROPN
ejpam-502	571	28	y	y	PROPN
ejpam-502	571	29	,	,	PUNCT
ejpam-502	571	30	then	then	ADV
ejpam-502	571	31	r(λ	r(λ	PROPN
ejpam-502	571	32	)	)	PUNCT
ejpam-502	571	33	�	�	PROPN
ejpam-502	571	34	λi	λi	ADP
ejpam-502	571	35	−	−	PROPN
ejpam-502	571	36	(	(	PUNCT
ejpam-502	571	37	a1	a1	NOUN
ejpam-502	571	38	⊗	⊗	NOUN
ejpam-502	571	39	i	i	PRON
ejpam-502	571	40	,	,	PUNCT
ejpam-502	571	41	i	i	PROPN
ejpam-502	571	42	⊗	⊗	PROPN
ejpam-502	571	43	a2	a2	PROPN
ejpam-502	571	44	)	)	PUNCT
ejpam-502	571	45	�	�	PROPN
ejpam-502	572	1	a	a	DET
ejpam-502	572	2	b	b	PROPN
ejpam-502	572	3	�	�	PROPN
ejpam-502	572	4	�	�	PROPN
ejpam-502	572	5	=	=	PUNCT
ejpam-502	572	6	i	i	PROPN
ejpam-502	572	7	,	,	PUNCT
ejpam-502	572	8	where	where	SCONJ
ejpam-502	572	9	i	i	PRON
ejpam-502	572	10	is	be	AUX
ejpam-502	572	11	the	the	DET
ejpam-502	572	12	identity	identity	NOUN
ejpam-502	572	13	map	map	NOUN
ejpam-502	572	14	on	on	ADP
ejpam-502	572	15	x	x	SYM
ejpam-502	572	16	α⊗	α⊗	PROPN
ejpam-502	572	17	y	y	PROPN
ejpam-502	572	18	.	.	PUNCT
ejpam-502	573	1	references	reference	NOUN
ejpam-502	573	2	[	[	X
ejpam-502	573	3	1	1	NUM
ejpam-502	573	4	]	]	PUNCT
ejpam-502	573	5	w.	w.	PROPN
ejpam-502	573	6	arendt	arendt	PROPN
ejpam-502	573	7	,	,	PUNCT
ejpam-502	573	8	grabosch	grabosch	PROPN
ejpam-502	573	9	,	,	PUNCT
ejpam-502	573	10	a.	a.	PROPN
ejpam-502	573	11	greiner	greiner	PROPN
ejpam-502	573	12	,	,	PUNCT
ejpam-502	573	13	g.	g.	PROPN
ejpam-502	573	14	,	,	PUNCT
ejpam-502	573	15	groh	groh	PROPN
ejpam-502	573	16	,	,	PUNCT
ejpam-502	573	17	u.	u.	PROPN
ejpam-502	573	18	,	,	PUNCT
ejpam-502	573	19	lotz	lotz	PROPN
ejpam-502	573	20	,	,	PUNCT
ejpam-502	573	21	h.	h.	PROPN
ejpam-502	573	22	p.	p.	PROPN
ejpam-502	573	23	,	,	PUNCT
ejpam-502	573	24	moustakas	moustakas	PROPN
ejpam-502	573	25	,	,	PUNCT
ejpam-502	573	26	u.	u.	PROPN
ejpam-502	573	27	,	,	PUNCT
ejpam-502	573	28	nagel	nagel	PROPN
ejpam-502	573	29	,	,	PUNCT
ejpam-502	573	30	r.	r.	PROPN
ejpam-502	573	31	,	,	PUNCT
ejpam-502	573	32	neubrander	neubrander	NOUN
ejpam-502	573	33	,	,	PUNCT
ejpam-502	573	34	f.	f.	PROPN
ejpam-502	573	35	,	,	PUNCT
ejpam-502	573	36	and	and	CCONJ
ejpam-502	573	37	schlotterbeck	schlotterbeck	PROPN
ejpam-502	573	38	,	,	PUNCT
ejpam-502	573	39	u.	u.	NOUN
ejpam-502	573	40	one	one	NUM
ejpam-502	573	41	parameter	parameter	NOUN
ejpam-502	573	42	semigroups	semigroup	NOUN
ejpam-502	573	43	of	of	ADP
ejpam-502	573	44	positive	positive	ADJ
ejpam-502	573	45	operators	operator	NOUN
ejpam-502	573	46	(	(	PUNCT
ejpam-502	573	47	edited	edit	VERB
ejpam-502	573	48	by	by	ADP
ejpam-502	573	49	r.	r.	PROPN
ejpam-502	573	50	nagel	nagel	PROPN
ejpam-502	573	51	)	)	PUNCT
ejpam-502	573	52	.	.	PUNCT
ejpam-502	574	1	lecture	lecture	NOUN
ejpam-502	574	2	notes	note	NOUN
ejpam-502	574	3	in	in	ADP
ejpam-502	574	4	mathematics	mathematic	NOUN
ejpam-502	574	5	,	,	PUNCT
ejpam-502	574	6	1184	1184	NUM
ejpam-502	574	7	.	.	PUNCT
ejpam-502	575	1	springer	springer	NOUN
ejpam-502	575	2	-	-	PUNCT
ejpam-502	575	3	verlag	verlag	PROPN
ejpam-502	575	4	.	.	PUNCT
ejpam-502	576	1	1986	1986	NUM
ejpam-502	576	2	.	.	PUNCT
ejpam-502	577	1	[	[	X
ejpam-502	577	2	2	2	NUM
ejpam-502	577	3	]	]	X
ejpam-502	577	4	k.j	k.j	PROPN
ejpam-502	577	5	.	.	PUNCT
ejpam-502	577	6	engel	engel	PROPN
ejpam-502	577	7	,	,	PUNCT
ejpam-502	577	8	and	and	CCONJ
ejpam-502	577	9	r.	r.	PROPN
ejpam-502	577	10	nagel	nagel	PROPN
ejpam-502	577	11	.	.	PUNCT
ejpam-502	578	1	one	one	NUM
ejpam-502	578	2	parameter	parameter	NOUN
ejpam-502	578	3	semigroups	semigroup	NOUN
ejpam-502	578	4	for	for	ADP
ejpam-502	578	5	linear	linear	PROPN
ejpam-502	578	6	evolution	evolution	NOUN
ejpam-502	578	7	equations	equation	NOUN
ejpam-502	578	8	.	.	PUNCT
ejpam-502	579	1	new	new	PROPN
ejpam-502	579	2	york	york	PROPN
ejpam-502	579	3	:	:	PUNCT
ejpam-502	579	4	springer	springer	NOUN
ejpam-502	579	5	-	-	PUNCT
ejpam-502	579	6	verlag	verlag	PROPN
ejpam-502	579	7	.	.	PUNCT
ejpam-502	580	1	2000	2000	NUM
ejpam-502	580	2	.	.	PUNCT
ejpam-502	581	1	[	[	X
ejpam-502	581	2	3	3	X
ejpam-502	581	3	]	]	X
ejpam-502	581	4	j.	j.	PROPN
ejpam-502	581	5	goldstein	goldstein	PROPN
ejpam-502	581	6	.	.	PUNCT
ejpam-502	582	1	semigroups	semigroup	NOUN
ejpam-502	582	2	of	of	ADP
ejpam-502	582	3	linear	linear	PROPN
ejpam-502	582	4	operators	operator	NOUN
ejpam-502	582	5	and	and	CCONJ
ejpam-502	582	6	applications	application	NOUN
ejpam-502	582	7	.	.	PUNCT
ejpam-502	583	1	new	new	PROPN
ejpam-502	583	2	york	york	PROPN
ejpam-502	583	3	:	:	PUNCT
ejpam-502	583	4	oxford	oxford	PROPN
ejpam-502	583	5	university	university	PROPN
ejpam-502	583	6	press	press	NOUN
ejpam-502	583	7	.	.	PUNCT
ejpam-502	584	1	1985	1985	NUM
ejpam-502	584	2	.	.	PUNCT
ejpam-502	585	1	[	[	X
ejpam-502	585	2	4	4	X
ejpam-502	585	3	]	]	PUNCT
ejpam-502	585	4	e.	e.	PROPN
ejpam-502	585	5	hille	hille	PROPN
ejpam-502	585	6	,	,	PUNCT
ejpam-502	585	7	and	and	CCONJ
ejpam-502	585	8	r.	r.	PROPN
ejpam-502	585	9	s.	s.	PROPN
ejpam-502	585	10	phillips	phillips	PROPN
ejpam-502	585	11	.	.	PUNCT
ejpam-502	586	1	functional	functional	ADJ
ejpam-502	586	2	analysis	analysis	NOUN
ejpam-502	586	3	and	and	CCONJ
ejpam-502	586	4	semigroups	semigroup	NOUN
ejpam-502	586	5	.	.	PUNCT
ejpam-502	587	1	rhode	rhode	PROPN
ejpam-502	587	2	island	island	PROPN
ejpam-502	587	3	:	:	PUNCT
ejpam-502	587	4	amer	amer	PROPN
ejpam-502	587	5	.	.	PROPN
ejpam-502	587	6	math	math	PROPN
ejpam-502	587	7	.	.	PUNCT
ejpam-502	588	1	soc	soc	PROPN
ejpam-502	588	2	.	.	PUNCT
ejpam-502	589	1	colloq	colloq	PROPN
ejpam-502	589	2	.	.	PUNCT
ejpam-502	590	1	publi	publi	PROPN
ejpam-502	590	2	.	.	PUNCT
ejpam-502	591	1	31	31	NUM
ejpam-502	591	2	,	,	PUNCT
ejpam-502	591	3	providence	providence	NOUN
ejpam-502	591	4	.	.	PUNCT
ejpam-502	592	1	1957	1957	NUM
ejpam-502	592	2	.	.	PUNCT
ejpam-502	593	1	[	[	X
ejpam-502	593	2	5	5	X
ejpam-502	593	3	]	]	PUNCT
ejpam-502	593	4	t.	t.	PROPN
ejpam-502	593	5	ichinose	ichinose	PROPN
ejpam-502	593	6	.	.	PUNCT
ejpam-502	594	1	on	on	ADP
ejpam-502	594	2	the	the	DET
ejpam-502	594	3	spectra	spectra	NOUN
ejpam-502	594	4	of	of	ADP
ejpam-502	594	5	tensor	tensor	NOUN
ejpam-502	594	6	products	product	NOUN
ejpam-502	594	7	of	of	ADP
ejpam-502	594	8	linear	linear	PROPN
ejpam-502	594	9	operators	operator	NOUN
ejpam-502	594	10	in	in	ADP
ejpam-502	594	11	banach	banach	NOUN
ejpam-502	594	12	spaces	space	NOUN
ejpam-502	594	13	.	.	PUNCT
ejpam-502	595	1	j.	j.	PROPN
ejpam-502	595	2	reine	reine	PROPN
ejpam-502	595	3	angew	angew	PROPN
ejpam-502	595	4	.	.	PUNCT
ejpam-502	596	1	math	math	NOUN
ejpam-502	596	2	.	.	PUNCT
ejpam-502	597	1	,	,	PUNCT
ejpam-502	597	2	(	(	PUNCT
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ejpam-502	597	4	):	):	PUNCT
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ejpam-502	597	8	.	.	PUNCT
ejpam-502	598	1	[	[	X
ejpam-502	598	2	6	6	NUM
ejpam-502	598	3	]	]	PUNCT
ejpam-502	598	4	t.	t.	PROPN
ejpam-502	598	5	ichinose	ichinose	PROPN
ejpam-502	598	6	.	.	PUNCT
ejpam-502	599	1	operators	operator	NOUN
ejpam-502	599	2	on	on	ADP
ejpam-502	599	3	tensor	tensor	NOUN
ejpam-502	599	4	product	product	NOUN
ejpam-502	599	5	of	of	ADP
ejpam-502	599	6	banach	banach	NOUN
ejpam-502	599	7	spaces	space	NOUN
ejpam-502	599	8	.	.	PUNCT
ejpam-502	600	1	transactions	transaction	NOUN
ejpam-502	600	2	of	of	ADP
ejpam-502	600	3	the	the	DET
ejpam-502	600	4	american	american	PROPN
ejpam-502	600	5	mathematical	mathematical	PROPN
ejpam-502	600	6	socociety	socociety	PROPN
ejpam-502	600	7	,	,	PUNCT
ejpam-502	600	8	1(70	1(70	NUM
ejpam-502	600	9	):	):	PUNCT
ejpam-502	600	10	197	197	NUM
ejpam-502	600	11	219	219	NUM
ejpam-502	600	12	.	.	PUNCT
ejpam-502	600	13	1972	1972	NUM
ejpam-502	600	14	.	.	PUNCT
ejpam-502	601	1	[	[	X
ejpam-502	601	2	7	7	X
ejpam-502	601	3	]	]	X
ejpam-502	601	4	r.	r.	PROPN
ejpam-502	601	5	khalil	khalil	PROPN
ejpam-502	601	6	,	,	PUNCT
ejpam-502	601	7	and	and	CCONJ
ejpam-502	601	8	s.	s.	PROPN
ejpam-502	601	9	al	al	PROPN
ejpam-502	601	10	-	-	PUNCT
ejpam-502	601	11	sharif	sharif	PROPN
ejpam-502	601	12	.	.	PUNCT
ejpam-502	602	1	two	two	NUM
ejpam-502	602	2	parameter	parameter	NOUN
ejpam-502	602	3	semigroups	semigroup	NOUN
ejpam-502	602	4	.	.	PUNCT
ejpam-502	603	1	journal	journal	NOUN
ejpam-502	603	2	of	of	ADP
ejpam-502	603	3	applied	apply	VERB
ejpam-502	603	4	mathematics	mathematic	NOUN
ejpam-502	603	5	and	and	CCONJ
ejpam-502	603	6	computation	computation	NOUN
ejpam-502	603	7	,	,	PUNCT
ejpam-502	603	8	(	(	PUNCT
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ejpam-502	603	10	):	):	PUNCT
ejpam-502	603	11	403	403	NUM
ejpam-502	603	12	414	414	NUM
ejpam-502	603	13	.	.	PUNCT
ejpam-502	603	14	2004	2004	NUM
ejpam-502	603	15	.	.	PUNCT
ejpam-502	604	1	references	reference	NOUN
ejpam-502	604	2	898	898	NUM
ejpam-502	605	1	[	[	X
ejpam-502	605	2	8	8	NUM
ejpam-502	605	3	]	]	PUNCT
ejpam-502	605	4	w.	w.	PROPN
ejpam-502	605	5	a.	a.	PROPN
ejpam-502	605	6	light	light	PROPN
ejpam-502	605	7	,	,	PUNCT
ejpam-502	605	8	and	and	CCONJ
ejpam-502	605	9	e.	e.	PROPN
ejpam-502	605	10	w.	w.	PROPN
ejpam-502	605	11	cheney	cheney	PROPN
ejpam-502	605	12	.	.	PUNCT
ejpam-502	606	1	approximation	approximation	NOUN
ejpam-502	606	2	theory	theory	NOUN
ejpam-502	606	3	in	in	ADP
ejpam-502	606	4	tensor	tensor	NOUN
ejpam-502	606	5	product	product	NOUN
ejpam-502	606	6	spaces	space	NOUN
ejpam-502	606	7	,	,	PUNCT
ejpam-502	606	8	lecture	lecture	NOUN
ejpam-502	606	9	notes	note	NOUN
ejpam-502	606	10	in	in	ADP
ejpam-502	606	11	maths	math	NOUN
ejpam-502	606	12	.	.	PUNCT
ejpam-502	606	13	,	,	PUNCT
ejpam-502	606	14	1169	1169	NUM
ejpam-502	606	15	.	.	PUNCT
ejpam-502	607	1	springer	springer	NOUN
ejpam-502	607	2	-	-	PUNCT
ejpam-502	607	3	verlag	verlag	PROPN
ejpam-502	607	4	.1985	.1985	PRON
ejpam-502	607	5	.	.	PUNCT
ejpam-502	608	1	[	[	X
ejpam-502	608	2	9	9	NUM
ejpam-502	608	3	]	]	PUNCT
ejpam-502	608	4	a.	a.	NOUN
ejpam-502	608	5	pazy	pazy	NOUN
ejpam-502	608	6	.	.	PUNCT
ejpam-502	609	1	semigroups	semigroup	NOUN
ejpam-502	609	2	of	of	ADP
ejpam-502	609	3	linear	linear	PROPN
ejpam-502	609	4	operators	operator	NOUN
ejpam-502	609	5	and	and	CCONJ
ejpam-502	609	6	applications	application	NOUN
ejpam-502	609	7	to	to	ADP
ejpam-502	609	8	partial	partial	ADJ
ejpam-502	609	9	differential	differential	NOUN
ejpam-502	609	10	equations	equation	NOUN
ejpam-502	609	11	,	,	PUNCT
ejpam-502	609	12	lecture	lecture	NOUN
ejpam-502	609	13	notes	note	NOUN
ejpam-502	609	14	,	,	PUNCT
ejpam-502	609	15	university	university	NOUN
ejpam-502	609	16	of	of	ADP
ejpam-502	609	17	maryland	maryland	PROPN
ejpam-502	609	18	.	.	PUNCT
ejpam-502	610	1	1974	1974	NUM
ejpam-502	610	2	.	.	PUNCT
ejpam-502	611	1	[	[	X
ejpam-502	611	2	10	10	NUM
ejpam-502	611	3	]	]	PUNCT
ejpam-502	611	4	a.pazy	a.pazy	NOUN
ejpam-502	611	5	.	.	PUNCT
ejpam-502	612	1	semigroups	semigroup	NOUN
ejpam-502	612	2	of	of	ADP
ejpam-502	612	3	linear	linear	PROPN
ejpam-502	612	4	operators	operator	NOUN
ejpam-502	612	5	and	and	CCONJ
ejpam-502	612	6	applications	application	NOUN
ejpam-502	612	7	to	to	ADP
ejpam-502	612	8	partial	partial	ADJ
ejpam-502	612	9	differential	differential	NOUN
ejpam-502	612	10	equations	equation	NOUN
ejpam-502	612	11	.	.	PUNCT
ejpam-502	613	1	new	new	PROPN
ejpam-502	613	2	york	york	PROPN
ejpam-502	613	3	:	:	PUNCT
ejpam-502	613	4	springer	springer	NOUN
ejpam-502	613	5	-	-	PUNCT
ejpam-502	613	6	verlag	verlag	PROPN
ejpam-502	613	7	.	.	PUNCT
ejpam-502	614	1	1983	1983	NUM
ejpam-502	614	2	.	.	PUNCT