id	sid	tid	token	lemma	pos
ejpam-2653	1	1	european	european	PROPN
ejpam-2653	1	2	journal	journal	PROPN
ejpam-2653	1	3	of	of	ADP
ejpam-2653	1	4	pure	pure	ADJ
ejpam-2653	1	5	and	and	CCONJ
ejpam-2653	1	6	applied	apply	VERB
ejpam-2653	1	7	mathematics	mathematic	NOUN
ejpam-2653	1	8	vol	vol	NOUN
ejpam-2653	1	9	.	.	PROPN
ejpam-2653	2	1	10	10	NUM
ejpam-2653	2	2	,	,	PUNCT
ejpam-2653	2	3	no	no	INTJ
ejpam-2653	2	4	.	.	NOUN
ejpam-2653	2	5	2	2	NUM
ejpam-2653	2	6	,	,	PUNCT
ejpam-2653	2	7	2017	2017	NUM
ejpam-2653	2	8	,	,	PUNCT
ejpam-2653	2	9	231	231	NUM
ejpam-2653	2	10	-	-	SYM
ejpam-2653	2	11	237	237	NUM
ejpam-2653	2	12	issn	issn	PROPN
ejpam-2653	2	13	1307	1307	NUM
ejpam-2653	2	14	-	-	SYM
ejpam-2653	2	15	5543	5543	NUM
ejpam-2653	2	16	–	–	PUNCT
ejpam-2653	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2653	2	18	published	publish	VERB
ejpam-2653	2	19	by	by	ADP
ejpam-2653	2	20	new	new	PROPN
ejpam-2653	2	21	york	york	PROPN
ejpam-2653	2	22	business	business	PROPN
ejpam-2653	3	1	global	global	PROPN
ejpam-2653	4	1	an	an	DET
ejpam-2653	4	2	extension	extension	NOUN
ejpam-2653	4	3	of	of	ADP
ejpam-2653	4	4	kantorovich	kantorovich	PROPN
ejpam-2653	4	5	inequality	inequality	NOUN
ejpam-2653	4	6	for	for	ADP
ejpam-2653	4	7	sesquilinear	sesquilinear	ADJ
ejpam-2653	4	8	maps	map	NOUN
ejpam-2653	4	9	hamid	hamid	PROPN
ejpam-2653	4	10	reza	reza	PROPN
ejpam-2653	4	11	moradi1,∗	moradi1,∗	PROPN
ejpam-2653	4	12	,	,	PUNCT
ejpam-2653	4	13	mohsen	mohsen	PROPN
ejpam-2653	4	14	erfanian	erfanian	PROPN
ejpam-2653	4	15	omidvar2	omidvar2	PROPN
ejpam-2653	4	16	,	,	PUNCT
ejpam-2653	4	17	mohammad	mohammad	PROPN
ejpam-2653	4	18	kazem	kazem	PROPN
ejpam-2653	4	19	anwary3	anwary3	PROPN
ejpam-2653	4	20	1	1	NUM
ejpam-2653	4	21	young	young	ADJ
ejpam-2653	4	22	researchers	researcher	NOUN
ejpam-2653	4	23	and	and	CCONJ
ejpam-2653	4	24	elite	elite	ADJ
ejpam-2653	4	25	club	club	NOUN
ejpam-2653	4	26	,	,	PUNCT
ejpam-2653	4	27	mashhad	mashhad	PROPN
ejpam-2653	4	28	branch	branch	PROPN
ejpam-2653	4	29	,	,	PUNCT
ejpam-2653	4	30	islamic	islamic	PROPN
ejpam-2653	4	31	azad	azad	PROPN
ejpam-2653	4	32	university	university	PROPN
ejpam-2653	4	33	,	,	PUNCT
ejpam-2653	4	34	mashhad	mashhad	PROPN
ejpam-2653	4	35	,	,	PUNCT
ejpam-2653	4	36	iran	iran	PROPN
ejpam-2653	4	37	2	2	NUM
ejpam-2653	4	38	department	department	NOUN
ejpam-2653	4	39	of	of	ADP
ejpam-2653	4	40	mathematics	mathematics	PROPN
ejpam-2653	4	41	,	,	PUNCT
ejpam-2653	4	42	mashhad	mashhad	PROPN
ejpam-2653	4	43	branch	branch	PROPN
ejpam-2653	4	44	,	,	PUNCT
ejpam-2653	4	45	islamic	islamic	PROPN
ejpam-2653	4	46	azad	azad	PROPN
ejpam-2653	4	47	university	university	PROPN
ejpam-2653	4	48	,	,	PUNCT
ejpam-2653	4	49	mashhad	mashhad	PROPN
ejpam-2653	4	50	,	,	PUNCT
ejpam-2653	4	51	iran	iran	PROPN
ejpam-2653	4	52	3	3	NUM
ejpam-2653	4	53	department	department	NOUN
ejpam-2653	4	54	of	of	ADP
ejpam-2653	4	55	pure	pure	ADJ
ejpam-2653	4	56	mathematics	mathematic	NOUN
ejpam-2653	4	57	,	,	PUNCT
ejpam-2653	4	58	ferdowsi	ferdowsi	NOUN
ejpam-2653	4	59	university	university	PROPN
ejpam-2653	4	60	of	of	ADP
ejpam-2653	4	61	mashhad	mashhad	PROPN
ejpam-2653	4	62	,	,	PUNCT
ejpam-2653	4	63	mashhad	mashhad	PROPN
ejpam-2653	4	64	,	,	PUNCT
ejpam-2653	4	65	iran	iran	PROPN
ejpam-2653	4	66	abstract	abstract	NOUN
ejpam-2653	4	67	.	.	PUNCT
ejpam-2653	5	1	by	by	ADP
ejpam-2653	5	2	using	use	VERB
ejpam-2653	5	3	sesquilinear	sesquilinear	NOUN
ejpam-2653	5	4	map	map	NOUN
ejpam-2653	5	5	we	we	PRON
ejpam-2653	5	6	generalize	generalize	VERB
ejpam-2653	5	7	some	some	DET
ejpam-2653	5	8	operator	operator	NOUN
ejpam-2653	5	9	kantorovich	kantorovich	PROPN
ejpam-2653	5	10	inequalities	inequality	NOUN
ejpam-2653	5	11	.	.	PUNCT
ejpam-2653	6	1	our	our	PRON
ejpam-2653	6	2	results	result	NOUN
ejpam-2653	6	3	are	be	AUX
ejpam-2653	6	4	more	more	ADV
ejpam-2653	6	5	extensive	extensive	ADJ
ejpam-2653	6	6	than	than	ADP
ejpam-2653	6	7	many	many	ADJ
ejpam-2653	6	8	previous	previous	ADJ
ejpam-2653	6	9	results	result	NOUN
ejpam-2653	6	10	due	due	ADP
ejpam-2653	6	11	to	to	ADP
ejpam-2653	6	12	mond	mond	NOUN
ejpam-2653	6	13	and	and	CCONJ
ejpam-2653	6	14	pečarić.	pečarić.	ADJ
ejpam-2653	6	15	2010	2010	NUM
ejpam-2653	6	16	mathematics	mathematic	NOUN
ejpam-2653	6	17	subject	subject	NOUN
ejpam-2653	6	18	classifications	classification	NOUN
ejpam-2653	6	19	:	:	PUNCT
ejpam-2653	6	20	47a63	47a63	NUM
ejpam-2653	6	21	,	,	PUNCT
ejpam-2653	6	22	47a30	47a30	NUM
ejpam-2653	6	23	key	key	ADJ
ejpam-2653	6	24	words	word	NOUN
ejpam-2653	6	25	and	and	CCONJ
ejpam-2653	6	26	phrases	phrase	NOUN
ejpam-2653	6	27	:	:	PUNCT
ejpam-2653	6	28	kantorovich	kantorovich	PROPN
ejpam-2653	6	29	inequality	inequality	NOUN
ejpam-2653	6	30	,	,	PUNCT
ejpam-2653	6	31	positive	positive	ADJ
ejpam-2653	6	32	linear	linear	NOUN
ejpam-2653	6	33	map	map	NOUN
ejpam-2653	6	34	,	,	PUNCT
ejpam-2653	6	35	operator	operator	NOUN
ejpam-2653	6	36	inequality	inequality	NOUN
ejpam-2653	6	37	1	1	NUM
ejpam-2653	6	38	.	.	PUNCT
ejpam-2653	6	39	introduction	introduction	NOUN
ejpam-2653	6	40	and	and	CCONJ
ejpam-2653	6	41	preliminaries	preliminary	NOUN
ejpam-2653	6	42	for	for	ADP
ejpam-2653	6	43	every	every	DET
ejpam-2653	6	44	unit	unit	NOUN
ejpam-2653	6	45	vector	vector	NOUN
ejpam-2653	6	46	x	x	X
ejpam-2653	6	47	and	and	CCONJ
ejpam-2653	6	48	mi	mi	PROPN
ejpam-2653	6	49	≥	≥	PROPN
ejpam-2653	6	50	a	a	DET
ejpam-2653	6	51	≥	≥	X
ejpam-2653	6	52	mi	mi	X
ejpam-2653	6	53	>	>	X
ejpam-2653	6	54	0	0	PROPN
ejpam-2653	6	55	,	,	PUNCT
ejpam-2653	6	56	the	the	DET
ejpam-2653	6	57	kantorovich	kantorovich	PROPN
ejpam-2653	6	58	inequality	inequality	NOUN
ejpam-2653	6	59	[	[	X
ejpam-2653	6	60	4	4	X
ejpam-2653	6	61	]	]	PUNCT
ejpam-2653	6	62	states	state	NOUN
ejpam-2653	6	63	〈	〈	PROPN
ejpam-2653	6	64	x	x	X
ejpam-2653	6	65	,	,	PUNCT
ejpam-2653	6	66	ax	ax	NOUN
ejpam-2653	6	67	〉	〉	NUM
ejpam-2653	6	68	〈	〈	PROPN
ejpam-2653	6	69	x	x	NOUN
ejpam-2653	6	70	,	,	PUNCT
ejpam-2653	6	71	a−1x	a−1x	ADP
ejpam-2653	6	72	〉	〉	NOUN
ejpam-2653	6	73	≤	≤	NOUN
ejpam-2653	6	74	(	(	PUNCT
ejpam-2653	6	75	m	m	VERB
ejpam-2653	6	76	+	+	ADJ
ejpam-2653	6	77	m)2	m)2	PROPN
ejpam-2653	6	78	4	4	NUM
ejpam-2653	6	79	mm	mm	NOUN
ejpam-2653	6	80	.	.	PUNCT
ejpam-2653	7	1	(	(	PUNCT
ejpam-2653	7	2	1	1	X
ejpam-2653	7	3	)	)	PUNCT
ejpam-2653	7	4	in	in	ADP
ejpam-2653	7	5	[	[	X
ejpam-2653	7	6	3	3	NUM
ejpam-2653	7	7	,	,	PUNCT
ejpam-2653	7	8	theorem	theorem	VERB
ejpam-2653	7	9	1.29	1.29	NUM
ejpam-2653	7	10	]	]	PUNCT
ejpam-2653	7	11	,	,	PUNCT
ejpam-2653	7	12	the	the	DET
ejpam-2653	7	13	authors	author	NOUN
ejpam-2653	7	14	obtained	obtain	VERB
ejpam-2653	7	15	the	the	DET
ejpam-2653	7	16	following	follow	VERB
ejpam-2653	7	17	reverse	reverse	NOUN
ejpam-2653	7	18	of	of	ADP
ejpam-2653	7	19	hölder	hölder	NOUN
ejpam-2653	7	20	-	-	PUNCT
ejpam-2653	7	21	mccarthy	mccarthy	NOUN
ejpam-2653	7	22	inequality	inequality	NOUN
ejpam-2653	7	23	by	by	ADP
ejpam-2653	7	24	the	the	DET
ejpam-2653	7	25	kantorovich	kantorovich	PROPN
ejpam-2653	7	26	inequality	inequality	NOUN
ejpam-2653	7	27	:	:	PUNCT
ejpam-2653	7	28	theorem	theorem	NOUN
ejpam-2653	7	29	1	1	NUM
ejpam-2653	7	30	.	.	PUNCT
ejpam-2653	8	1	let	let	VERB
ejpam-2653	8	2	a	a	PRON
ejpam-2653	8	3	be	be	AUX
ejpam-2653	8	4	a	a	DET
ejpam-2653	8	5	positive	positive	ADJ
ejpam-2653	8	6	operator	operator	NOUN
ejpam-2653	8	7	on	on	ADP
ejpam-2653	8	8	h	h	NOUN
ejpam-2653	8	9	satisfying	satisfy	VERB
ejpam-2653	8	10	m1h	m1h	PROPN
ejpam-2653	8	11	≥	≥	NUM
ejpam-2653	8	12	a	a	DET
ejpam-2653	8	13	≥	≥	NOUN
ejpam-2653	8	14	m1h	m1h	X
ejpam-2653	8	15	>	>	X
ejpam-2653	8	16	0	0	PUNCT
ejpam-2653	9	1	for	for	ADP
ejpam-2653	9	2	some	some	DET
ejpam-2653	9	3	scalars	scalar	NOUN
ejpam-2653	9	4	m	m	VERB
ejpam-2653	9	5	<	<	X
ejpam-2653	9	6	m	m	VERB
ejpam-2653	9	7	.	.	PUNCT
ejpam-2653	10	1	then	then	ADV
ejpam-2653	10	2	〈	〈	PROPN
ejpam-2653	10	3	a2x	a2x	PROPN
ejpam-2653	10	4	,	,	PUNCT
ejpam-2653	10	5	x	x	X
ejpam-2653	10	6	〉	〉	NOUN
ejpam-2653	10	7	≤	≤	NOUN
ejpam-2653	10	8	(	(	PUNCT
ejpam-2653	10	9	m	m	VERB
ejpam-2653	10	10	+	+	ADJ
ejpam-2653	10	11	m)2	m)2	PROPN
ejpam-2653	10	12	4	4	NUM
ejpam-2653	10	13	mm	mm	NOUN
ejpam-2653	10	14	〈	〈	NOUN
ejpam-2653	10	15	ax	ax	NOUN
ejpam-2653	10	16	,	,	PUNCT
ejpam-2653	10	17	x〉2	x〉2	NUM
ejpam-2653	10	18	,	,	PUNCT
ejpam-2653	10	19	(	(	PUNCT
ejpam-2653	10	20	2	2	X
ejpam-2653	10	21	)	)	PUNCT
ejpam-2653	10	22	for	for	ADP
ejpam-2653	10	23	every	every	DET
ejpam-2653	10	24	unit	unit	NOUN
ejpam-2653	10	25	vector	vector	NOUN
ejpam-2653	10	26	x	x	NOUN
ejpam-2653	10	27	∈h	∈h	NOUN
ejpam-2653	10	28	.	.	PUNCT
ejpam-2653	11	1	∗corresponding	∗corresponde	VERB
ejpam-2653	11	2	author	author	NOUN
ejpam-2653	11	3	.	.	PUNCT
ejpam-2653	12	1	email	email	NOUN
ejpam-2653	12	2	addresses	address	NOUN
ejpam-2653	12	3	:	:	PUNCT
ejpam-2653	12	4	hrmoradi@mshdiau.ac.ir	hrmoradi@mshdiau.ac.ir	PROPN
ejpam-2653	12	5	(	(	PUNCT
ejpam-2653	12	6	h.r	h.r	PROPN
ejpam-2653	12	7	.	.	PROPN
ejpam-2653	12	8	moradi	moradi	PROPN
ejpam-2653	12	9	)	)	PUNCT
ejpam-2653	12	10	,	,	PUNCT
ejpam-2653	12	11	erfanian@mshdiau.ac.ir	erfanian@mshdiau.ac.ir	PROPN
ejpam-2653	12	12	(	(	PUNCT
ejpam-2653	12	13	m.e	m.e	PROPN
ejpam-2653	12	14	.	.	PROPN
ejpam-2653	12	15	omidvar	omidvar	PROPN
ejpam-2653	12	16	)	)	PUNCT
ejpam-2653	12	17	,	,	PUNCT
ejpam-2653	12	18	abdh1248@gmail.com	abdh1248@gmail.com	PROPN
ejpam-2653	12	19	(	(	PUNCT
ejpam-2653	12	20	m.k	m.k	PROPN
ejpam-2653	12	21	.	.	PROPN
ejpam-2653	12	22	anwary	anwary	PROPN
ejpam-2653	12	23	)	)	PUNCT
ejpam-2653	12	24	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2653	13	1	231	231	NUM
ejpam-2653	13	2	c	c	X
ejpam-2653	13	3	©	©	PROPN
ejpam-2653	13	4	2017	2017	NUM
ejpam-2653	13	5	ejpam	ejpam	VERB
ejpam-2653	13	6	all	all	DET
ejpam-2653	13	7	rights	right	NOUN
ejpam-2653	13	8	reserved	reserve	VERB
ejpam-2653	13	9	.	.	PUNCT
ejpam-2653	14	1	h.r	h.r	PROPN
ejpam-2653	14	2	.	.	PROPN
ejpam-2653	14	3	moradi	moradi	PROPN
ejpam-2653	14	4	,	,	PUNCT
ejpam-2653	14	5	m.e	m.e	PROPN
ejpam-2653	14	6	.	.	PROPN
ejpam-2653	14	7	omidvar	omidvar	PROPN
ejpam-2653	14	8	,	,	PUNCT
ejpam-2653	14	9	m.k	m.k	PROPN
ejpam-2653	14	10	.	.	PROPN
ejpam-2653	14	11	anwary	anwary	PROPN
ejpam-2653	14	12	/	/	SYM
ejpam-2653	14	13	eur	eur	PROPN
ejpam-2653	14	14	.	.	PUNCT
ejpam-2653	15	1	j.	j.	PROPN
ejpam-2653	15	2	pure	pure	PROPN
ejpam-2653	15	3	appl	appl	PROPN
ejpam-2653	15	4	.	.	PROPN
ejpam-2653	15	5	math	math	PROPN
ejpam-2653	15	6	,	,	PUNCT
ejpam-2653	15	7	10	10	NUM
ejpam-2653	15	8	(	(	PUNCT
ejpam-2653	15	9	2	2	NUM
ejpam-2653	15	10	)	)	PUNCT
ejpam-2653	15	11	(	(	PUNCT
ejpam-2653	15	12	2017	2017	NUM
ejpam-2653	15	13	)	)	PUNCT
ejpam-2653	15	14	,	,	PUNCT
ejpam-2653	15	15	231	231	NUM
ejpam-2653	15	16	-	-	SYM
ejpam-2653	15	17	237	237	NUM
ejpam-2653	15	18	232	232	NUM
ejpam-2653	15	19	many	many	ADJ
ejpam-2653	15	20	authors	author	NOUN
ejpam-2653	15	21	have	have	AUX
ejpam-2653	15	22	investigated	investigate	VERB
ejpam-2653	15	23	on	on	ADP
ejpam-2653	15	24	extensions	extension	NOUN
ejpam-2653	15	25	of	of	ADP
ejpam-2653	15	26	the	the	DET
ejpam-2653	15	27	kantorovich	kantorovich	PROPN
ejpam-2653	15	28	one	one	NOUN
ejpam-2653	15	29	,	,	PUNCT
ejpam-2653	15	30	such	such	ADJ
ejpam-2653	15	31	as	as	ADP
ejpam-2653	15	32	liu	liu	PROPN
ejpam-2653	15	33	et	et	PROPN
ejpam-2653	15	34	al	al	PROPN
ejpam-2653	15	35	.	.	PUNCT
ejpam-2653	16	1	[	[	X
ejpam-2653	16	2	5	5	NUM
ejpam-2653	16	3	]	]	PUNCT
ejpam-2653	16	4	,	,	PUNCT
ejpam-2653	16	5	furuta	furuta	PROPN
ejpam-2653	17	1	[	[	X
ejpam-2653	17	2	2	2	X
ejpam-2653	17	3	]	]	PUNCT
ejpam-2653	17	4	and	and	CCONJ
ejpam-2653	17	5	ky	ky	PROPN
ejpam-2653	17	6	fan	fan	NOUN
ejpam-2653	18	1	[	[	X
ejpam-2653	18	2	1	1	NUM
ejpam-2653	18	3	]	]	PUNCT
ejpam-2653	18	4	.	.	PUNCT
ejpam-2653	19	1	among	among	ADP
ejpam-2653	19	2	others	other	NOUN
ejpam-2653	19	3	,	,	PUNCT
ejpam-2653	19	4	we	we	PRON
ejpam-2653	19	5	pay	pay	VERB
ejpam-2653	19	6	our	our	PRON
ejpam-2653	19	7	attentions	attention	NOUN
ejpam-2653	19	8	to	to	ADP
ejpam-2653	19	9	the	the	DET
ejpam-2653	19	10	long	long	ADJ
ejpam-2653	19	11	research	research	NOUN
ejpam-2653	19	12	series	series	NOUN
ejpam-2653	19	13	of	of	ADP
ejpam-2653	19	14	mond	mond	NOUN
ejpam-2653	19	15	-	-	PUNCT
ejpam-2653	19	16	pečarić	pečarić	NOUN
ejpam-2653	19	17	method	method	NOUN
ejpam-2653	19	18	[	[	X
ejpam-2653	19	19	3	3	NUM
ejpam-2653	19	20	]	]	PUNCT
ejpam-2653	19	21	.	.	PUNCT
ejpam-2653	20	1	as	as	ADP
ejpam-2653	20	2	customary	customary	ADJ
ejpam-2653	20	3	,	,	PUNCT
ejpam-2653	20	4	we	we	PRON
ejpam-2653	20	5	reserve	reserve	VERB
ejpam-2653	20	6	m	m	PROPN
ejpam-2653	20	7	,	,	PUNCT
ejpam-2653	20	8	m	m	VERB
ejpam-2653	20	9	for	for	ADP
ejpam-2653	20	10	scalars	scalar	NOUN
ejpam-2653	20	11	and	and	CCONJ
ejpam-2653	20	12	1h	1h	NUM
ejpam-2653	20	13	for	for	ADP
ejpam-2653	20	14	identity	identity	NOUN
ejpam-2653	20	15	operator	operator	NOUN
ejpam-2653	20	16	.	.	PUNCT
ejpam-2653	21	1	other	other	ADJ
ejpam-2653	21	2	capital	capital	NOUN
ejpam-2653	21	3	letters	letter	NOUN
ejpam-2653	21	4	denote	denote	VERB
ejpam-2653	21	5	general	general	ADJ
ejpam-2653	21	6	elements	element	NOUN
ejpam-2653	21	7	of	of	ADP
ejpam-2653	21	8	the	the	DET
ejpam-2653	21	9	c∗-algebra	c∗-algebra	PROPN
ejpam-2653	21	10	b	b	PROPN
ejpam-2653	21	11	(	(	PUNCT
ejpam-2653	21	12	h	h	NOUN
ejpam-2653	21	13	)	)	PUNCT
ejpam-2653	21	14	(	(	PUNCT
ejpam-2653	21	15	with	with	ADP
ejpam-2653	21	16	unit	unit	NOUN
ejpam-2653	21	17	)	)	PUNCT
ejpam-2653	21	18	of	of	ADP
ejpam-2653	21	19	all	all	DET
ejpam-2653	21	20	bounded	bound	VERB
ejpam-2653	21	21	linear	linear	PROPN
ejpam-2653	21	22	operators	operator	NOUN
ejpam-2653	21	23	acting	act	VERB
ejpam-2653	21	24	on	on	ADP
ejpam-2653	21	25	a	a	DET
ejpam-2653	21	26	hilbert	hilbert	NOUN
ejpam-2653	21	27	space	space	NOUN
ejpam-2653	21	28	(	(	PUNCT
ejpam-2653	21	29	h	h	NOUN
ejpam-2653	21	30	,	,	PUNCT
ejpam-2653	21	31	〈	〈	PROPN
ejpam-2653	21	32	·	·	SYM
ejpam-2653	21	33	,	,	PUNCT
ejpam-2653	21	34	·	·	SYM
ejpam-2653	21	35	〉	〉	NUM
ejpam-2653	21	36	)	)	PUNCT
ejpam-2653	21	37	.	.	PUNCT
ejpam-2653	22	1	also	also	ADV
ejpam-2653	22	2	,	,	PUNCT
ejpam-2653	22	3	we	we	PRON
ejpam-2653	22	4	identify	identify	VERB
ejpam-2653	22	5	a	a	DET
ejpam-2653	22	6	scalars	scalar	NOUN
ejpam-2653	22	7	with	with	ADP
ejpam-2653	22	8	the	the	DET
ejpam-2653	22	9	unit	unit	NOUN
ejpam-2653	22	10	multiplied	multiply	VERB
ejpam-2653	22	11	by	by	ADP
ejpam-2653	22	12	this	this	DET
ejpam-2653	22	13	scalar	scalar	NOUN
ejpam-2653	22	14	.	.	PUNCT
ejpam-2653	23	1	we	we	PRON
ejpam-2653	23	2	write	write	VERB
ejpam-2653	23	3	a	a	DET
ejpam-2653	23	4	≥	≥	NOUN
ejpam-2653	23	5	0	0	NUM
ejpam-2653	23	6	to	to	PART
ejpam-2653	23	7	mean	mean	VERB
ejpam-2653	23	8	that	that	SCONJ
ejpam-2653	23	9	the	the	DET
ejpam-2653	23	10	operator	operator	NOUN
ejpam-2653	23	11	a	a	PRON
ejpam-2653	23	12	is	be	AUX
ejpam-2653	23	13	positive	positive	ADJ
ejpam-2653	23	14	and	and	CCONJ
ejpam-2653	23	15	identify	identify	VERB
ejpam-2653	23	16	a	a	DET
ejpam-2653	23	17	≥	≥	NOUN
ejpam-2653	23	18	b	b	NOUN
ejpam-2653	23	19	(	(	PUNCT
ejpam-2653	23	20	the	the	DET
ejpam-2653	23	21	same	same	ADJ
ejpam-2653	23	22	as	as	ADP
ejpam-2653	23	23	b	b	NOUN
ejpam-2653	23	24	≤	≤	NOUN
ejpam-2653	23	25	a	a	PRON
ejpam-2653	23	26	)	)	PUNCT
ejpam-2653	23	27	with	with	ADP
ejpam-2653	23	28	a−b	a−b	NOUN
ejpam-2653	23	29	≥	≥	NOUN
ejpam-2653	23	30	0	0	NUM
ejpam-2653	23	31	.	.	PUNCT
ejpam-2653	24	1	a	a	DET
ejpam-2653	24	2	positive	positive	ADJ
ejpam-2653	24	3	invertible	invertible	ADJ
ejpam-2653	24	4	operator	operator	NOUN
ejpam-2653	24	5	a	a	PRON
ejpam-2653	24	6	is	be	AUX
ejpam-2653	24	7	naturally	naturally	ADV
ejpam-2653	24	8	denoted	denote	VERB
ejpam-2653	24	9	by	by	ADP
ejpam-2653	24	10	a	a	DET
ejpam-2653	24	11	>	>	X
ejpam-2653	24	12	0	0	NUM
ejpam-2653	24	13	.	.	PUNCT
ejpam-2653	25	1	for	for	ADP
ejpam-2653	25	2	a	a	DET
ejpam-2653	25	3	,	,	PUNCT
ejpam-2653	25	4	b	b	X
ejpam-2653	25	5	>	>	X
ejpam-2653	25	6	0	0	PROPN
ejpam-2653	25	7	,	,	PUNCT
ejpam-2653	25	8	the	the	DET
ejpam-2653	25	9	geometric	geometric	ADJ
ejpam-2653	25	10	mean	mean	NOUN
ejpam-2653	25	11	a#b	a#b	PROPN
ejpam-2653	25	12	is	be	AUX
ejpam-2653	25	13	defined	define	VERB
ejpam-2653	25	14	by	by	ADP
ejpam-2653	25	15	a#b	a#b	PROPN
ejpam-2653	25	16	=	=	PUNCT
ejpam-2653	25	17	a	a	DET
ejpam-2653	25	18	1	1	NUM
ejpam-2653	25	19	2	2	NUM
ejpam-2653	25	20	(	(	PUNCT
ejpam-2653	25	21	a−	a−	PROPN
ejpam-2653	25	22	1	1	NUM
ejpam-2653	25	23	2ba−	2ba−	NUM
ejpam-2653	25	24	1	1	NUM
ejpam-2653	25	25	2	2	NUM
ejpam-2653	25	26	)	)	PUNCT
ejpam-2653	25	27	1	1	NUM
ejpam-2653	25	28	2	2	NUM
ejpam-2653	25	29	a	a	DET
ejpam-2653	25	30	1	1	NUM
ejpam-2653	25	31	2	2	NUM
ejpam-2653	25	32	.	.	PUNCT
ejpam-2653	26	1	it	it	PRON
ejpam-2653	26	2	is	be	AUX
ejpam-2653	26	3	well	well	ADV
ejpam-2653	26	4	known	know	VERB
ejpam-2653	26	5	that	that	SCONJ
ejpam-2653	26	6	a#b	a#b	PROPN
ejpam-2653	26	7	≤	≤	NOUN
ejpam-2653	26	8	a+b	a+b	NUM
ejpam-2653	26	9	2	2	NUM
ejpam-2653	26	10	.	.	PUNCT
ejpam-2653	27	1	we	we	PRON
ejpam-2653	27	2	use	use	VERB
ejpam-2653	27	3	ϕ	ϕ	NOUN
ejpam-2653	27	4	for	for	ADP
ejpam-2653	27	5	sesquilinear	sesquilinear	NOUN
ejpam-2653	27	6	map	map	NOUN
ejpam-2653	27	7	.	.	PUNCT
ejpam-2653	28	1	a	a	DET
ejpam-2653	28	2	map	map	NOUN
ejpam-2653	28	3	ϕ	ϕ	X
ejpam-2653	28	4	:	:	PUNCT
ejpam-2653	28	5	b	b	X
ejpam-2653	28	6	(	(	PUNCT
ejpam-2653	28	7	h	h	NOUN
ejpam-2653	28	8	)	)	PUNCT
ejpam-2653	28	9	×	×	PROPN
ejpam-2653	28	10	b	b	PROPN
ejpam-2653	28	11	(	(	PUNCT
ejpam-2653	28	12	h	h	NOUN
ejpam-2653	28	13	)	)	PUNCT
ejpam-2653	28	14	→	→	SYM
ejpam-2653	28	15	b	b	X
ejpam-2653	28	16	(	(	PUNCT
ejpam-2653	28	17	h	h	NOUN
ejpam-2653	28	18	)	)	PUNCT
ejpam-2653	28	19	is	be	AUX
ejpam-2653	28	20	a	a	DET
ejpam-2653	28	21	sesquilinear	sesquilinear	ADJ
ejpam-2653	28	22	map	map	NOUN
ejpam-2653	28	23	,	,	PUNCT
ejpam-2653	28	24	if	if	SCONJ
ejpam-2653	28	25	satisfying	satisfy	VERB
ejpam-2653	28	26	the	the	DET
ejpam-2653	28	27	following	follow	VERB
ejpam-2653	28	28	conditions	condition	NOUN
ejpam-2653	28	29	:	:	PUNCT
ejpam-2653	28	30	(	(	PUNCT
ejpam-2653	28	31	a	a	X
ejpam-2653	28	32	)	)	PUNCT
ejpam-2653	28	33	ϕ	ϕ	NOUN
ejpam-2653	28	34	(	(	PUNCT
ejpam-2653	28	35	αa1	αa1	PROPN
ejpam-2653	28	36	+	+	CCONJ
ejpam-2653	28	37	βa2	βa2	PROPN
ejpam-2653	28	38	,	,	PUNCT
ejpam-2653	28	39	b	b	NOUN
ejpam-2653	28	40	)	)	PUNCT
ejpam-2653	28	41	=	=	SYM
ejpam-2653	28	42	αϕ	αϕ	PROPN
ejpam-2653	28	43	(	(	PUNCT
ejpam-2653	28	44	a1	a1	PROPN
ejpam-2653	28	45	,	,	PUNCT
ejpam-2653	28	46	b	b	NOUN
ejpam-2653	28	47	)	)	PUNCT
ejpam-2653	28	48	+	+	NUM
ejpam-2653	28	49	βϕ	βϕ	PRON
ejpam-2653	28	50	(	(	PUNCT
ejpam-2653	28	51	a2	a2	PROPN
ejpam-2653	28	52	,	,	PUNCT
ejpam-2653	28	53	b	b	NOUN
ejpam-2653	28	54	)	)	PUNCT
ejpam-2653	28	55	;	;	PUNCT
ejpam-2653	28	56	(	(	PUNCT
ejpam-2653	28	57	b	b	X
ejpam-2653	28	58	)	)	PUNCT
ejpam-2653	28	59	ϕ	ϕ	NOUN
ejpam-2653	28	60	(	(	PUNCT
ejpam-2653	28	61	a	a	DET
ejpam-2653	28	62	,	,	PUNCT
ejpam-2653	28	63	αb1	αb1	NOUN
ejpam-2653	28	64	+	+	CCONJ
ejpam-2653	28	65	βb2	βb2	NOUN
ejpam-2653	28	66	)	)	PUNCT
ejpam-2653	28	67	=	=	SYM
ejpam-2653	28	68	αϕ	αϕ	INTJ
ejpam-2653	28	69	(	(	PUNCT
ejpam-2653	28	70	a	a	DET
ejpam-2653	28	71	,	,	PUNCT
ejpam-2653	28	72	b1	b1	NOUN
ejpam-2653	28	73	)	)	PUNCT
ejpam-2653	29	1	+	+	NUM
ejpam-2653	29	2	βϕ	βϕ	X
ejpam-2653	29	3	(	(	PUNCT
ejpam-2653	29	4	a	a	DET
ejpam-2653	29	5	,	,	PUNCT
ejpam-2653	29	6	b2	b2	NOUN
ejpam-2653	29	7	)	)	PUNCT
ejpam-2653	29	8	;	;	PUNCT
ejpam-2653	29	9	(	(	PUNCT
ejpam-2653	29	10	c	c	X
ejpam-2653	29	11	)	)	PUNCT
ejpam-2653	29	12	ϕ	ϕ	NOUN
ejpam-2653	29	13	(	(	PUNCT
ejpam-2653	29	14	a	a	PRON
ejpam-2653	29	15	,	,	PUNCT
ejpam-2653	29	16	a	a	PRON
ejpam-2653	29	17	)	)	PUNCT
ejpam-2653	29	18	≥	≥	NOUN
ejpam-2653	29	19	0	0	NUM
ejpam-2653	29	20	;	;	PUNCT
ejpam-2653	29	21	(	(	PUNCT
ejpam-2653	29	22	d	d	X
ejpam-2653	29	23	)	)	PUNCT
ejpam-2653	29	24	ϕ	ϕ	NOUN
ejpam-2653	29	25	(	(	PUNCT
ejpam-2653	29	26	ax	ax	NOUN
ejpam-2653	29	27	,	,	PUNCT
ejpam-2653	29	28	y	y	PROPN
ejpam-2653	29	29	)	)	PUNCT
ejpam-2653	30	1	=	=	SYM
ejpam-2653	30	2	ϕ	ϕ	X
ejpam-2653	30	3	(	(	PUNCT
ejpam-2653	30	4	x	x	X
ejpam-2653	30	5	,	,	PUNCT
ejpam-2653	30	6	a∗y	a∗y	NUM
ejpam-2653	30	7	)	)	PUNCT
ejpam-2653	30	8	;	;	PUNCT
ejpam-2653	30	9	for	for	ADP
ejpam-2653	30	10	all	all	DET
ejpam-2653	30	11	α	α	NOUN
ejpam-2653	30	12	,	,	PUNCT
ejpam-2653	30	13	β	β	X
ejpam-2653	30	14	∈	∈	PROPN
ejpam-2653	30	15	c	c	NOUN
ejpam-2653	30	16	and	and	CCONJ
ejpam-2653	30	17	a1	a1	PROPN
ejpam-2653	30	18	,	,	PUNCT
ejpam-2653	30	19	a2	a2	PROPN
ejpam-2653	30	20	,	,	PUNCT
ejpam-2653	30	21	b1	b1	NOUN
ejpam-2653	30	22	,	,	PUNCT
ejpam-2653	30	23	b2	b2	NOUN
ejpam-2653	30	24	,	,	PUNCT
ejpam-2653	30	25	x	x	PRON
ejpam-2653	30	26	,	,	PUNCT
ejpam-2653	30	27	y	y	PROPN
ejpam-2653	30	28	∈	∈	PROPN
ejpam-2653	30	29	b	b	PROPN
ejpam-2653	30	30	(	(	PUNCT
ejpam-2653	30	31	h	h	NOUN
ejpam-2653	30	32	)	)	PUNCT
ejpam-2653	30	33	.	.	PUNCT
ejpam-2653	31	1	note	note	VERB
ejpam-2653	31	2	that	that	SCONJ
ejpam-2653	31	3	,	,	PUNCT
ejpam-2653	31	4	if	if	SCONJ
ejpam-2653	31	5	a	a	DET
ejpam-2653	31	6	≥	≥	NOUN
ejpam-2653	31	7	0	0	NUM
ejpam-2653	32	1	then	then	ADV
ejpam-2653	32	2	ϕ	ϕ	X
ejpam-2653	32	3	(	(	PUNCT
ejpam-2653	32	4	ac	ac	PROPN
ejpam-2653	32	5	,	,	PUNCT
ejpam-2653	32	6	c	c	NOUN
ejpam-2653	32	7	)	)	PUNCT
ejpam-2653	32	8	≥	≥	NOUN
ejpam-2653	32	9	0	0	NUM
ejpam-2653	32	10	for	for	ADP
ejpam-2653	32	11	all	all	PRON
ejpam-2653	32	12	c	c	NOUN
ejpam-2653	32	13	∈	∈	PROPN
ejpam-2653	32	14	b	b	PROPN
ejpam-2653	32	15	(	(	PUNCT
ejpam-2653	32	16	h	h	NOUN
ejpam-2653	32	17	)	)	PUNCT
ejpam-2653	32	18	.	.	PUNCT
ejpam-2653	33	1	in	in	ADP
ejpam-2653	33	2	fact	fact	NOUN
ejpam-2653	33	3	,	,	PUNCT
ejpam-2653	33	4	if	if	SCONJ
ejpam-2653	33	5	a	a	DET
ejpam-2653	33	6	≥	≥	NOUN
ejpam-2653	33	7	0	0	NUM
ejpam-2653	33	8	then	then	ADV
ejpam-2653	33	9	a	a	DET
ejpam-2653	33	10	=	=	NOUN
ejpam-2653	33	11	b∗b	b∗b	NOUN
ejpam-2653	33	12	for	for	ADP
ejpam-2653	33	13	some	some	DET
ejpam-2653	33	14	b	b	PROPN
ejpam-2653	33	15	∈	∈	PROPN
ejpam-2653	33	16	b	b	PROPN
ejpam-2653	33	17	(	(	PUNCT
ejpam-2653	33	18	h	h	NOUN
ejpam-2653	33	19	)	)	PUNCT
ejpam-2653	33	20	.	.	PUNCT
ejpam-2653	34	1	therefore	therefore	ADV
ejpam-2653	34	2	,	,	PUNCT
ejpam-2653	34	3	ϕ	ϕ	X
ejpam-2653	34	4	(	(	PUNCT
ejpam-2653	34	5	ac	ac	PROPN
ejpam-2653	34	6	,	,	PUNCT
ejpam-2653	34	7	c	c	NOUN
ejpam-2653	34	8	)	)	PUNCT
ejpam-2653	34	9	=	=	SYM
ejpam-2653	34	10	ϕ	ϕ	X
ejpam-2653	34	11	(	(	PUNCT
ejpam-2653	34	12	b∗bc	b∗bc	PROPN
ejpam-2653	34	13	,	,	PUNCT
ejpam-2653	34	14	c	c	NOUN
ejpam-2653	34	15	)	)	PUNCT
ejpam-2653	34	16	=	=	SYM
ejpam-2653	34	17	ϕ	ϕ	PROPN
ejpam-2653	34	18	(	(	PUNCT
ejpam-2653	34	19	bc	bc	PROPN
ejpam-2653	34	20	,	,	PUNCT
ejpam-2653	34	21	bc	bc	PROPN
ejpam-2653	34	22	)	)	PUNCT
ejpam-2653	34	23	≥	≥	NOUN
ejpam-2653	34	24	0	0	NUM
ejpam-2653	34	25	it	it	PRON
ejpam-2653	34	26	turn	turn	VERB
ejpam-2653	34	27	implies	imply	VERB
ejpam-2653	34	28	that	that	SCONJ
ejpam-2653	34	29	,	,	PUNCT
ejpam-2653	34	30	if	if	SCONJ
ejpam-2653	34	31	a	a	DET
ejpam-2653	34	32	≥	≥	NOUN
ejpam-2653	34	33	b	b	NOUN
ejpam-2653	34	34	then	then	ADV
ejpam-2653	34	35	,	,	PUNCT
ejpam-2653	34	36	ϕ	ϕ	X
ejpam-2653	34	37	(	(	PUNCT
ejpam-2653	34	38	ac	ac	PROPN
ejpam-2653	34	39	,	,	PUNCT
ejpam-2653	34	40	c	c	NOUN
ejpam-2653	34	41	)	)	PUNCT
ejpam-2653	34	42	≥	≥	NOUN
ejpam-2653	34	43	ϕ	ϕ	PROPN
ejpam-2653	34	44	(	(	PUNCT
ejpam-2653	34	45	bc	bc	PROPN
ejpam-2653	34	46	,	,	PUNCT
ejpam-2653	34	47	c	c	NOUN
ejpam-2653	34	48	)	)	PUNCT
ejpam-2653	34	49	.	.	PUNCT
ejpam-2653	35	1	since	since	SCONJ
ejpam-2653	35	2	a−b	a−b	NOUN
ejpam-2653	35	3	≥	≥	NOUN
ejpam-2653	35	4	0	0	NUM
ejpam-2653	35	5	.	.	PUNCT
ejpam-2653	36	1	we	we	PRON
ejpam-2653	36	2	remark	remark	VERB
ejpam-2653	36	3	that	that	SCONJ
ejpam-2653	36	4	if	if	SCONJ
ejpam-2653	36	5	we	we	PRON
ejpam-2653	36	6	define	define	VERB
ejpam-2653	36	7	ϕ	ϕ	NOUN
ejpam-2653	36	8	(	(	PUNCT
ejpam-2653	36	9	a	a	DET
ejpam-2653	36	10	,	,	PUNCT
ejpam-2653	36	11	b	b	NOUN
ejpam-2653	36	12	)	)	PUNCT
ejpam-2653	36	13	=	=	SYM
ejpam-2653	36	14	b∗a	b∗a	PROPN
ejpam-2653	36	15	,	,	PUNCT
ejpam-2653	36	16	then	then	ADV
ejpam-2653	36	17	above	above	ADP
ejpam-2653	36	18	definition	definition	NOUN
ejpam-2653	36	19	coincides	coincide	VERB
ejpam-2653	36	20	with	with	ADP
ejpam-2653	36	21	the	the	DET
ejpam-2653	36	22	ordinal	ordinal	ADJ
ejpam-2653	36	23	definition	definition	NOUN
ejpam-2653	36	24	of	of	ADP
ejpam-2653	36	25	positive	positive	ADJ
ejpam-2653	36	26	operator	operator	NOUN
ejpam-2653	36	27	.	.	PUNCT
ejpam-2653	37	1	in	in	ADP
ejpam-2653	37	2	fact	fact	NOUN
ejpam-2653	37	3	,	,	PUNCT
ejpam-2653	37	4	in	in	ADP
ejpam-2653	37	5	this	this	DET
ejpam-2653	37	6	case	case	NOUN
ejpam-2653	37	7	ϕ	ϕ	X
ejpam-2653	37	8	(	(	PUNCT
ejpam-2653	37	9	ac	ac	PROPN
ejpam-2653	37	10	,	,	PUNCT
ejpam-2653	37	11	c	c	NOUN
ejpam-2653	37	12	)	)	PUNCT
ejpam-2653	37	13	=	=	NOUN
ejpam-2653	37	14	c∗ac	c∗ac	NOUN
ejpam-2653	37	15	and	and	CCONJ
ejpam-2653	37	16	ϕ	ϕ	PROPN
ejpam-2653	37	17	(	(	PUNCT
ejpam-2653	37	18	bc	bc	PROPN
ejpam-2653	37	19	,	,	PUNCT
ejpam-2653	37	20	c	c	NOUN
ejpam-2653	37	21	)	)	PUNCT
ejpam-2653	37	22	=	=	SYM
ejpam-2653	37	23	c∗bc	c∗bc	PROPN
ejpam-2653	37	24	,	,	PUNCT
ejpam-2653	37	25	hence	hence	ADV
ejpam-2653	37	26	a	a	DET
ejpam-2653	37	27	≥	≥	NOUN
ejpam-2653	37	28	b	b	NOUN
ejpam-2653	37	29	if	if	SCONJ
ejpam-2653	38	1	and	and	CCONJ
ejpam-2653	38	2	only	only	ADV
ejpam-2653	38	3	if	if	SCONJ
ejpam-2653	38	4	c∗ac	c∗ac	NOUN
ejpam-2653	38	5	≥	≥	NOUN
ejpam-2653	38	6	c∗bc	c∗bc	VERB
ejpam-2653	38	7	for	for	ADP
ejpam-2653	38	8	any	any	DET
ejpam-2653	38	9	c	c	PROPN
ejpam-2653	38	10	∈	∈	PROPN
ejpam-2653	38	11	b	b	PROPN
ejpam-2653	38	12	(	(	PUNCT
ejpam-2653	38	13	h	h	NOUN
ejpam-2653	38	14	)	)	PUNCT
ejpam-2653	38	15	.	.	PUNCT
ejpam-2653	39	1	we	we	PRON
ejpam-2653	39	2	call	call	VERB
ejpam-2653	39	3	u	u	NOUN
ejpam-2653	39	4	∈	∈	PROPN
ejpam-2653	39	5	b	b	PROPN
ejpam-2653	39	6	(	(	PUNCT
ejpam-2653	39	7	h	h	NOUN
ejpam-2653	39	8	)	)	PUNCT
ejpam-2653	39	9	is	be	AUX
ejpam-2653	39	10	ϕ-unitary	ϕ-unitary	ADJ
ejpam-2653	39	11	if	if	SCONJ
ejpam-2653	39	12	ϕ	ϕ	X
ejpam-2653	39	13	(	(	PUNCT
ejpam-2653	39	14	u	u	NOUN
ejpam-2653	39	15	,	,	PUNCT
ejpam-2653	39	16	u	u	NOUN
ejpam-2653	39	17	)	)	PUNCT
ejpam-2653	39	18	=	=	SYM
ejpam-2653	39	19	1h	1h	NUM
ejpam-2653	39	20	.	.	PUNCT
ejpam-2653	40	1	the	the	DET
ejpam-2653	40	2	main	main	ADJ
ejpam-2653	40	3	results	result	NOUN
ejpam-2653	40	4	are	be	AUX
ejpam-2653	40	5	given	give	VERB
ejpam-2653	40	6	in	in	ADP
ejpam-2653	40	7	the	the	DET
ejpam-2653	40	8	next	next	ADJ
ejpam-2653	40	9	section	section	NOUN
ejpam-2653	40	10	.	.	PUNCT
ejpam-2653	41	1	in	in	ADP
ejpam-2653	41	2	this	this	DET
ejpam-2653	41	3	paper	paper	NOUN
ejpam-2653	41	4	,	,	PUNCT
ejpam-2653	41	5	we	we	PRON
ejpam-2653	41	6	will	will	AUX
ejpam-2653	41	7	present	present	VERB
ejpam-2653	41	8	some	some	DET
ejpam-2653	41	9	operator	operator	NOUN
ejpam-2653	41	10	inequalities	inequality	NOUN
ejpam-2653	41	11	which	which	PRON
ejpam-2653	41	12	are	be	AUX
ejpam-2653	41	13	generalizations	generalization	NOUN
ejpam-2653	41	14	of	of	ADP
ejpam-2653	41	15	(	(	PUNCT
ejpam-2653	41	16	1	1	NUM
ejpam-2653	41	17	)	)	PUNCT
ejpam-2653	41	18	and	and	CCONJ
ejpam-2653	41	19	(	(	PUNCT
ejpam-2653	41	20	2	2	NUM
ejpam-2653	41	21	)	)	PUNCT
ejpam-2653	41	22	.	.	PUNCT
ejpam-2653	42	1	2	2	X
ejpam-2653	42	2	.	.	X
ejpam-2653	42	3	proofs	proof	NOUN
ejpam-2653	42	4	of	of	ADP
ejpam-2653	42	5	the	the	DET
ejpam-2653	42	6	inequalities	inequality	NOUN
ejpam-2653	42	7	to	to	PART
ejpam-2653	42	8	prove	prove	VERB
ejpam-2653	42	9	our	our	PRON
ejpam-2653	42	10	main	main	ADJ
ejpam-2653	42	11	results	result	NOUN
ejpam-2653	42	12	we	we	PRON
ejpam-2653	42	13	need	need	VERB
ejpam-2653	42	14	the	the	DET
ejpam-2653	42	15	following	follow	VERB
ejpam-2653	42	16	lemma	lemma	PROPN
ejpam-2653	42	17	.	.	PUNCT
ejpam-2653	43	1	lemma	lemma	PROPN
ejpam-2653	43	2	1	1	NUM
ejpam-2653	43	3	.	.	PUNCT
ejpam-2653	44	1	[	[	X
ejpam-2653	44	2	3	3	NUM
ejpam-2653	44	3	,	,	PUNCT
ejpam-2653	44	4	lemma	lemma	PROPN
ejpam-2653	44	5	1.24	1.24	NUM
ejpam-2653	44	6	]	]	PUNCT
ejpam-2653	44	7	let	let	VERB
ejpam-2653	44	8	a	a	DET
ejpam-2653	44	9	∈	∈	PROPN
ejpam-2653	44	10	b	b	PROPN
ejpam-2653	44	11	(	(	PUNCT
ejpam-2653	44	12	h	h	NOUN
ejpam-2653	44	13	)	)	PUNCT
ejpam-2653	44	14	be	be	AUX
ejpam-2653	44	15	positive	positive	ADJ
ejpam-2653	44	16	and	and	CCONJ
ejpam-2653	44	17	satisfying	satisfying	ADJ
ejpam-2653	44	18	m1h	m1h	PROPN
ejpam-2653	44	19	≥	≥	NOUN
ejpam-2653	44	20	a	a	DET
ejpam-2653	44	21	≥	≥	NOUN
ejpam-2653	44	22	m1h	m1h	X
ejpam-2653	44	23	>	>	X
ejpam-2653	44	24	0	0	PUNCT
ejpam-2653	45	1	for	for	ADP
ejpam-2653	45	2	some	some	DET
ejpam-2653	45	3	scalars	scalar	NOUN
ejpam-2653	45	4	m	m	VERB
ejpam-2653	45	5	<	<	X
ejpam-2653	45	6	m	m	VERB
ejpam-2653	45	7	.	.	PUNCT
ejpam-2653	46	1	then	then	ADV
ejpam-2653	46	2	(	(	PUNCT
ejpam-2653	46	3	m	m	VERB
ejpam-2653	46	4	+	+	NOUN
ejpam-2653	46	5	m	m	X
ejpam-2653	46	6	)	)	PUNCT
ejpam-2653	46	7	1h	1h	NUM
ejpam-2653	46	8	≥mma−1	≥mma−1	NOUN
ejpam-2653	46	9	+	+	PROPN
ejpam-2653	46	10	a.	a.	PROPN
ejpam-2653	46	11	h.r	h.r	PROPN
ejpam-2653	46	12	.	.	PROPN
ejpam-2653	46	13	moradi	moradi	PROPN
ejpam-2653	46	14	,	,	PUNCT
ejpam-2653	46	15	m.e	m.e	PROPN
ejpam-2653	46	16	.	.	PROPN
ejpam-2653	46	17	omidvar	omidvar	PROPN
ejpam-2653	46	18	,	,	PUNCT
ejpam-2653	46	19	m.k	m.k	PROPN
ejpam-2653	46	20	.	.	PROPN
ejpam-2653	46	21	anwary	anwary	PROPN
ejpam-2653	46	22	/	/	SYM
ejpam-2653	46	23	eur	eur	PROPN
ejpam-2653	46	24	.	.	PUNCT
ejpam-2653	47	1	j.	j.	PROPN
ejpam-2653	47	2	pure	pure	PROPN
ejpam-2653	47	3	appl	appl	PROPN
ejpam-2653	47	4	.	.	PROPN
ejpam-2653	47	5	math	math	PROPN
ejpam-2653	47	6	,	,	PUNCT
ejpam-2653	47	7	10	10	NUM
ejpam-2653	47	8	(	(	PUNCT
ejpam-2653	47	9	2	2	NUM
ejpam-2653	47	10	)	)	PUNCT
ejpam-2653	47	11	(	(	PUNCT
ejpam-2653	47	12	2017	2017	NUM
ejpam-2653	47	13	)	)	PUNCT
ejpam-2653	47	14	,	,	PUNCT
ejpam-2653	47	15	231	231	NUM
ejpam-2653	47	16	-	-	SYM
ejpam-2653	47	17	237	237	NUM
ejpam-2653	47	18	233	233	NUM
ejpam-2653	47	19	the	the	DET
ejpam-2653	47	20	following	following	ADJ
ejpam-2653	47	21	result	result	NOUN
ejpam-2653	47	22	is	be	AUX
ejpam-2653	47	23	our	our	PRON
ejpam-2653	47	24	first	first	ADJ
ejpam-2653	47	25	main	main	ADJ
ejpam-2653	47	26	result	result	NOUN
ejpam-2653	47	27	.	.	PUNCT
ejpam-2653	48	1	it	it	PRON
ejpam-2653	48	2	presents	present	VERB
ejpam-2653	48	3	a	a	DET
ejpam-2653	48	4	generalization	generalization	NOUN
ejpam-2653	48	5	of	of	ADP
ejpam-2653	48	6	the	the	DET
ejpam-2653	48	7	kantorovich	kantorovich	PROPN
ejpam-2653	48	8	inequality	inequality	NOUN
ejpam-2653	48	9	.	.	PUNCT
ejpam-2653	49	1	theorem	theorem	NOUN
ejpam-2653	49	2	2	2	NUM
ejpam-2653	49	3	.	.	PUNCT
ejpam-2653	49	4	let	let	VERB
ejpam-2653	49	5	a	a	PRON
ejpam-2653	49	6	,	,	PUNCT
ejpam-2653	49	7	c	c	PROPN
ejpam-2653	49	8	∈	∈	PROPN
ejpam-2653	49	9	b	b	PROPN
ejpam-2653	49	10	(	(	PUNCT
ejpam-2653	49	11	h	h	NOUN
ejpam-2653	49	12	)	)	PUNCT
ejpam-2653	49	13	and	and	CCONJ
ejpam-2653	49	14	a	a	PRON
ejpam-2653	49	15	be	be	AUX
ejpam-2653	49	16	a	a	DET
ejpam-2653	49	17	positive	positive	ADJ
ejpam-2653	49	18	satisfying	satisfying	NOUN
ejpam-2653	50	1	m1h	m1h	NOUN
ejpam-2653	50	2	≥	≥	NUM
ejpam-2653	50	3	a	a	DET
ejpam-2653	50	4	≥	≥	NOUN
ejpam-2653	50	5	m1h	m1h	X
ejpam-2653	50	6	>	>	X
ejpam-2653	50	7	0	0	PUNCT
ejpam-2653	51	1	for	for	ADP
ejpam-2653	51	2	some	some	DET
ejpam-2653	51	3	scalars	scalar	NOUN
ejpam-2653	51	4	m	m	VERB
ejpam-2653	51	5	<	<	X
ejpam-2653	51	6	m	m	VERB
ejpam-2653	51	7	.	.	PUNCT
ejpam-2653	52	1	then	then	ADV
ejpam-2653	52	2	ϕ	ϕ	X
ejpam-2653	52	3	(	(	PUNCT
ejpam-2653	52	4	ac	ac	PROPN
ejpam-2653	52	5	,	,	PUNCT
ejpam-2653	52	6	c	c	NOUN
ejpam-2653	52	7	)	)	PUNCT
ejpam-2653	52	8	#	#	SYM
ejpam-2653	52	9	ϕ	ϕ	NOUN
ejpam-2653	52	10	(	(	PUNCT
ejpam-2653	52	11	a−1c	a−1c	ADJ
ejpam-2653	52	12	,	,	PUNCT
ejpam-2653	52	13	c	c	NOUN
ejpam-2653	52	14	)	)	PUNCT
ejpam-2653	52	15	≤	≤	NUM
ejpam-2653	52	16	m	m	VERB
ejpam-2653	53	1	+	+	NOUN
ejpam-2653	53	2	m	m	VERB
ejpam-2653	53	3	2	2	NUM
ejpam-2653	53	4	√	√	NUM
ejpam-2653	53	5	mm	mm	PROPN
ejpam-2653	53	6	ϕ	ϕ	X
ejpam-2653	53	7	(	(	PUNCT
ejpam-2653	53	8	c	c	X
ejpam-2653	53	9	,	,	PUNCT
ejpam-2653	53	10	c	c	NOUN
ejpam-2653	53	11	)	)	PUNCT
ejpam-2653	53	12	.	.	PUNCT
ejpam-2653	54	1	(	(	PUNCT
ejpam-2653	54	2	3	3	X
ejpam-2653	54	3	)	)	PUNCT
ejpam-2653	54	4	proof	proof	NOUN
ejpam-2653	54	5	.	.	PUNCT
ejpam-2653	55	1	by	by	ADP
ejpam-2653	55	2	lemma	lemma	PROPN
ejpam-2653	55	3	1	1	NUM
ejpam-2653	55	4	,	,	PUNCT
ejpam-2653	55	5	we	we	PRON
ejpam-2653	55	6	have	have	VERB
ejpam-2653	55	7	(	(	PUNCT
ejpam-2653	55	8	m	m	VERB
ejpam-2653	55	9	+	+	NOUN
ejpam-2653	55	10	m	m	X
ejpam-2653	55	11	)	)	PUNCT
ejpam-2653	55	12	1h	1h	NUM
ejpam-2653	55	13	≥mma−1	≥mma−1	NOUN
ejpam-2653	55	14	+	+	NOUN
ejpam-2653	55	15	a.	a.	NOUN
ejpam-2653	55	16	since	since	SCONJ
ejpam-2653	55	17	ϕ	ϕ	PROPN
ejpam-2653	55	18	is	be	AUX
ejpam-2653	55	19	sesquilinear	sesquilinear	NOUN
ejpam-2653	55	20	map	map	NOUN
ejpam-2653	55	21	,	,	PUNCT
ejpam-2653	55	22	we	we	PRON
ejpam-2653	55	23	obtain	obtain	VERB
ejpam-2653	55	24	(	(	PUNCT
ejpam-2653	55	25	m	m	VERB
ejpam-2653	55	26	+	+	NOUN
ejpam-2653	55	27	m)ϕ	m)ϕ	NOUN
ejpam-2653	55	28	(	(	PUNCT
ejpam-2653	55	29	c	c	X
ejpam-2653	55	30	,	,	PUNCT
ejpam-2653	55	31	c	c	NOUN
ejpam-2653	55	32	)	)	PUNCT
ejpam-2653	55	33	≥mmϕ	≥mmϕ	PROPN
ejpam-2653	55	34	(	(	PUNCT
ejpam-2653	55	35	a−1c	a−1c	PROPN
ejpam-2653	55	36	,	,	PUNCT
ejpam-2653	55	37	c	c	NOUN
ejpam-2653	55	38	)	)	PUNCT
ejpam-2653	56	1	+	+	CCONJ
ejpam-2653	56	2	ϕ	ϕ	X
ejpam-2653	56	3	(	(	PUNCT
ejpam-2653	56	4	ac	ac	PROPN
ejpam-2653	56	5	,	,	PUNCT
ejpam-2653	56	6	c	c	NOUN
ejpam-2653	56	7	)	)	PUNCT
ejpam-2653	56	8	≥	≥	NOUN
ejpam-2653	56	9	2	2	NUM
ejpam-2653	56	10	√	√	NUM
ejpam-2653	56	11	mmϕ	mmϕ	ADJ
ejpam-2653	56	12	(	(	PUNCT
ejpam-2653	56	13	a−1c	a−1c	ADJ
ejpam-2653	56	14	,	,	PUNCT
ejpam-2653	56	15	c	c	NOUN
ejpam-2653	56	16	)	)	PUNCT
ejpam-2653	56	17	#	#	SYM
ejpam-2653	56	18	ϕ	ϕ	X
ejpam-2653	56	19	(	(	PUNCT
ejpam-2653	56	20	ac	ac	PROPN
ejpam-2653	56	21	,	,	PUNCT
ejpam-2653	56	22	c	c	NOUN
ejpam-2653	56	23	)	)	PUNCT
ejpam-2653	56	24	.	.	PUNCT
ejpam-2653	57	1	which	which	PRON
ejpam-2653	57	2	is	be	AUX
ejpam-2653	57	3	exactly	exactly	ADV
ejpam-2653	57	4	desired	desire	VERB
ejpam-2653	57	5	result	result	NOUN
ejpam-2653	57	6	(	(	PUNCT
ejpam-2653	57	7	3	3	NUM
ejpam-2653	57	8	)	)	PUNCT
ejpam-2653	57	9	.	.	PUNCT
ejpam-2653	58	1	example	example	NOUN
ejpam-2653	59	1	1	1	NUM
ejpam-2653	59	2	.	.	PUNCT
ejpam-2653	59	3	by	by	ADP
ejpam-2653	59	4	taking	take	VERB
ejpam-2653	59	5	ϕ	ϕ	NOUN
ejpam-2653	59	6	(	(	PUNCT
ejpam-2653	59	7	a	a	DET
ejpam-2653	59	8	,	,	PUNCT
ejpam-2653	59	9	b	b	NOUN
ejpam-2653	59	10	)	)	PUNCT
ejpam-2653	59	11	=	=	SYM
ejpam-2653	59	12	b∗a	b∗a	X
ejpam-2653	59	13	in	in	ADP
ejpam-2653	59	14	theorem	theorem	NOUN
ejpam-2653	59	15	2	2	NUM
ejpam-2653	59	16	we	we	PRON
ejpam-2653	59	17	infer	infer	VERB
ejpam-2653	59	18	that	that	SCONJ
ejpam-2653	59	19	c∗ac#c∗a−1c	c∗ac#c∗a−1c	PROPN
ejpam-2653	59	20	≤	≤	PROPN
ejpam-2653	59	21	m	m	VERB
ejpam-2653	59	22	+	+	NOUN
ejpam-2653	59	23	m	m	VERB
ejpam-2653	59	24	2	2	NUM
ejpam-2653	59	25	√	√	NUM
ejpam-2653	59	26	mm	mm	PROPN
ejpam-2653	59	27	c∗c	c∗c	PROPN
ejpam-2653	59	28	.	.	PUNCT
ejpam-2653	60	1	in	in	ADP
ejpam-2653	60	2	addition	addition	NOUN
ejpam-2653	60	3	,	,	PUNCT
ejpam-2653	60	4	if	if	SCONJ
ejpam-2653	60	5	c	c	PROPN
ejpam-2653	60	6	is	be	AUX
ejpam-2653	60	7	unitary	unitary	ADJ
ejpam-2653	60	8	then	then	ADV
ejpam-2653	60	9	c∗ac#c∗a−1c	c∗ac#c∗a−1c	PROPN
ejpam-2653	60	10	≤	≤	PROPN
ejpam-2653	60	11	m	m	VERB
ejpam-2653	60	12	+	+	NOUN
ejpam-2653	60	13	m	m	VERB
ejpam-2653	60	14	2	2	NUM
ejpam-2653	60	15	√	√	NUM
ejpam-2653	60	16	mm	mm	INTJ
ejpam-2653	60	17	.	.	PUNCT
ejpam-2653	61	1	theorem	theorem	NOUN
ejpam-2653	61	2	3	3	X
ejpam-2653	61	3	.	.	PUNCT
ejpam-2653	62	1	let	let	AUX
ejpam-2653	62	2	ai	ai	VERB
ejpam-2653	62	3	,	,	PUNCT
ejpam-2653	62	4	ci	ci	PROPN
ejpam-2653	62	5	∈	∈	PROPN
ejpam-2653	62	6	b	b	PROPN
ejpam-2653	62	7	(	(	PUNCT
ejpam-2653	62	8	h	h	NOUN
ejpam-2653	62	9	)	)	PUNCT
ejpam-2653	62	10	and	and	CCONJ
ejpam-2653	62	11	ai	ai	VERB
ejpam-2653	62	12	be	be	AUX
ejpam-2653	62	13	a	a	DET
ejpam-2653	62	14	positive	positive	ADJ
ejpam-2653	62	15	satisfying	satisfying	NOUN
ejpam-2653	62	16	m1h	m1h	NOUN
ejpam-2653	62	17	≥	≥	NOUN
ejpam-2653	62	18	ai	ai	VERB
ejpam-2653	62	19	≥	≥	PROPN
ejpam-2653	62	20	m1h	m1h	X
ejpam-2653	62	21	>	>	X
ejpam-2653	62	22	0	0	PUNCT
ejpam-2653	63	1	for	for	ADP
ejpam-2653	63	2	some	some	DET
ejpam-2653	63	3	scalars	scalar	NOUN
ejpam-2653	63	4	m	m	VERB
ejpam-2653	63	5	<	<	X
ejpam-2653	63	6	m	m	VERB
ejpam-2653	63	7	(	(	PUNCT
ejpam-2653	63	8	i	i	NOUN
ejpam-2653	63	9	=	=	NOUN
ejpam-2653	63	10	1	1	NUM
ejpam-2653	63	11	,	,	PUNCT
ejpam-2653	63	12	.	.	PUNCT
ejpam-2653	63	13	.	.	PUNCT
ejpam-2653	63	14	.	.	PUNCT
ejpam-2653	63	15	,	,	PUNCT
ejpam-2653	63	16	n	n	CCONJ
ejpam-2653	63	17	)	)	PUNCT
ejpam-2653	63	18	.	.	PUNCT
ejpam-2653	64	1	then	then	ADV
ejpam-2653	64	2	(	(	PUNCT
ejpam-2653	64	3	n∑	n∑	NOUN
ejpam-2653	64	4	i=1	i=1	PROPN
ejpam-2653	64	5	ϕ	ϕ	PROPN
ejpam-2653	64	6	(	(	PUNCT
ejpam-2653	64	7	aici	aici	PROPN
ejpam-2653	64	8	,	,	PUNCT
ejpam-2653	64	9	ci	ci	NOUN
ejpam-2653	64	10	)	)	PUNCT
ejpam-2653	64	11	)	)	PUNCT
ejpam-2653	65	1	#	#	NOUN
ejpam-2653	65	2	(	(	PUNCT
ejpam-2653	65	3	n∑	n∑	NOUN
ejpam-2653	65	4	i=1	i=1	PROPN
ejpam-2653	66	1	ϕ	ϕ	PROPN
ejpam-2653	67	1	(	(	PUNCT
ejpam-2653	67	2	a−1	a−1	PROPN
ejpam-2653	67	3	i	i	PROPN
ejpam-2653	67	4	ci	ci	PROPN
ejpam-2653	67	5	,	,	PUNCT
ejpam-2653	67	6	ci	ci	PROPN
ejpam-2653	67	7	)	)	PUNCT
ejpam-2653	67	8	)	)	PUNCT
ejpam-2653	68	1	≤	≤	NUM
ejpam-2653	68	2	m	m	VERB
ejpam-2653	69	1	+	+	NOUN
ejpam-2653	69	2	m	m	VERB
ejpam-2653	69	3	2	2	NUM
ejpam-2653	69	4	√	√	NUM
ejpam-2653	70	1	mm	mm	NUM
ejpam-2653	70	2	n∑	n∑	NOUN
ejpam-2653	70	3	i=1	i=1	PROPN
ejpam-2653	71	1	ϕ	ϕ	PROPN
ejpam-2653	71	2	(	(	PUNCT
ejpam-2653	71	3	ci	ci	PROPN
ejpam-2653	71	4	,	,	PUNCT
ejpam-2653	71	5	ci	ci	NOUN
ejpam-2653	71	6	)	)	PUNCT
ejpam-2653	71	7	.	.	PUNCT
ejpam-2653	72	1	proof	proof	NOUN
ejpam-2653	72	2	.	.	PUNCT
ejpam-2653	73	1	putting	put	VERB
ejpam-2653	73	2	ã	ã	PROPN
ejpam-2653	73	3	=	=	PROPN
ejpam-2653	73	4	a1	a1	NOUN
ejpam-2653	73	5	.	.	PUNCT
ejpam-2653	73	6	.	.	PUNCT
ejpam-2653	74	1	.	.	PUNCT
ejpam-2653	74	2	0	0	NUM
ejpam-2653	74	3	...	...	PUNCT
ejpam-2653	74	4	.	.	PUNCT
ejpam-2653	74	5	.	.	PUNCT
ejpam-2653	75	1	.	.	PUNCT
ejpam-2653	76	1	...	...	PUNCT
ejpam-2653	77	1	0	0	NUM
ejpam-2653	77	2	·	·	PUNCT
ejpam-2653	77	3	·	·	PUNCT
ejpam-2653	77	4	·	·	PUNCT
ejpam-2653	77	5	an	an	DET
ejpam-2653	77	6			PROPN
ejpam-2653	77	7	,	,	PUNCT
ejpam-2653	77	8	c̃	c̃	PROPN
ejpam-2653	77	9	=	=	SYM
ejpam-2653	77	10	c1	c1	NOUN
ejpam-2653	77	11	...	...	PUNCT
ejpam-2653	78	1	cn	cn	PROPN
ejpam-2653	78	2			PROPN
ejpam-2653	78	3	then	then	ADV
ejpam-2653	78	4	we	we	PRON
ejpam-2653	78	5	have	have	VERB
ejpam-2653	78	6	sp	sp	ADP
ejpam-2653	78	7	(	(	PUNCT
ejpam-2653	78	8	ã	ã	PROPN
ejpam-2653	78	9	)	)	PUNCT
ejpam-2653	78	10	⊂	⊂	PROPN
ejpam-2653	79	1	[	[	X
ejpam-2653	79	2	m	m	X
ejpam-2653	79	3	,	,	PUNCT
ejpam-2653	79	4	m	m	VERB
ejpam-2653	79	5	]	]	X
ejpam-2653	79	6	.	.	PUNCT
ejpam-2653	80	1	next	next	ADV
ejpam-2653	80	2	we	we	PRON
ejpam-2653	80	3	define	define	VERB
ejpam-2653	80	4	ϕ̃	ϕ̃	PROPN
ejpam-2653	80	5	:	:	PUNCT
ejpam-2653	81	1	⊕b	⊕b	PROPN
ejpam-2653	81	2	(	(	PUNCT
ejpam-2653	81	3	h	h	NOUN
ejpam-2653	81	4	)	)	PUNCT
ejpam-2653	81	5	×⊕b	×⊕b	ADJ
ejpam-2653	81	6	(	(	PUNCT
ejpam-2653	81	7	h	h	NOUN
ejpam-2653	81	8	)	)	PUNCT
ejpam-2653	81	9	→	→	SYM
ejpam-2653	81	10	⊕b	⊕b	PROPN
ejpam-2653	81	11	(	(	PUNCT
ejpam-2653	81	12	h	h	NOUN
ejpam-2653	81	13	)	)	PUNCT
ejpam-2653	81	14	ϕ̃	ϕ̃	PROPN
ejpam-2653	82	1			NOUN
ejpam-2653	82	2	a1	a1	NOUN
ejpam-2653	82	3	...	...	PUNCT
ejpam-2653	83	1	an	an	DET
ejpam-2653	83	2			PROPN
ejpam-2653	83	3	,	,	PUNCT
ejpam-2653	83	4	a1	a1	NOUN
ejpam-2653	83	5	...	...	PUNCT
ejpam-2653	83	6	an	an	DET
ejpam-2653	83	7			PROPN
ejpam-2653	83	8			PROPN
ejpam-2653	84	1	=	=	PUNCT
ejpam-2653	84	2	n∑	n∑	PROPN
ejpam-2653	84	3	i=1	i=1	PROPN
ejpam-2653	85	1	ϕ	ϕ	PROPN
ejpam-2653	85	2	(	(	PUNCT
ejpam-2653	85	3	ai	ai	PROPN
ejpam-2653	85	4	,	,	PUNCT
ejpam-2653	85	5	ai	ai	VERB
ejpam-2653	85	6	)	)	PUNCT
ejpam-2653	85	7	.	.	PUNCT
ejpam-2653	86	1	h.r	h.r	PROPN
ejpam-2653	86	2	.	.	PROPN
ejpam-2653	86	3	moradi	moradi	PROPN
ejpam-2653	86	4	,	,	PUNCT
ejpam-2653	86	5	m.e	m.e	PROPN
ejpam-2653	86	6	.	.	PROPN
ejpam-2653	86	7	omidvar	omidvar	PROPN
ejpam-2653	86	8	,	,	PUNCT
ejpam-2653	86	9	m.k	m.k	PROPN
ejpam-2653	86	10	.	.	PROPN
ejpam-2653	86	11	anwary	anwary	PROPN
ejpam-2653	86	12	/	/	SYM
ejpam-2653	86	13	eur	eur	PROPN
ejpam-2653	86	14	.	.	PUNCT
ejpam-2653	87	1	j.	j.	PROPN
ejpam-2653	87	2	pure	pure	PROPN
ejpam-2653	87	3	appl	appl	PROPN
ejpam-2653	87	4	.	.	PROPN
ejpam-2653	87	5	math	math	PROPN
ejpam-2653	87	6	,	,	PUNCT
ejpam-2653	87	7	10	10	NUM
ejpam-2653	87	8	(	(	PUNCT
ejpam-2653	87	9	2	2	NUM
ejpam-2653	87	10	)	)	PUNCT
ejpam-2653	87	11	(	(	PUNCT
ejpam-2653	87	12	2017	2017	NUM
ejpam-2653	87	13	)	)	PUNCT
ejpam-2653	87	14	,	,	PUNCT
ejpam-2653	87	15	231	231	NUM
ejpam-2653	87	16	-	-	SYM
ejpam-2653	87	17	237	237	NUM
ejpam-2653	87	18	234	234	NUM
ejpam-2653	87	19	in	in	ADP
ejpam-2653	87	20	particular	particular	ADJ
ejpam-2653	87	21	,	,	PUNCT
ejpam-2653	87	22	we	we	PRON
ejpam-2653	87	23	have	have	VERB
ejpam-2653	87	24	ϕ̃	ϕ̃	PROPN
ejpam-2653	87	25	(	(	PUNCT
ejpam-2653	87	26	ãc̃	ãc̃	PROPN
ejpam-2653	87	27	,	,	PUNCT
ejpam-2653	87	28	c̃	c̃	PROPN
ejpam-2653	87	29	)	)	PUNCT
ejpam-2653	88	1	=	=	PUNCT
ejpam-2653	89	1	ϕ̃	ϕ̃	PROPN
ejpam-2653	89	2			NOUN
ejpam-2653	89	3	a1	a1	NOUN
ejpam-2653	89	4	.	.	PUNCT
ejpam-2653	89	5	.	.	PUNCT
ejpam-2653	90	1	.	.	PUNCT
ejpam-2653	90	2	0	0	NUM
ejpam-2653	90	3	...	...	PUNCT
ejpam-2653	90	4	.	.	PUNCT
ejpam-2653	90	5	.	.	PUNCT
ejpam-2653	91	1	.	.	PUNCT
ejpam-2653	92	1	...	...	PUNCT
ejpam-2653	93	1	0	0	NUM
ejpam-2653	93	2	·	·	PUNCT
ejpam-2653	93	3	·	·	PUNCT
ejpam-2653	93	4	·	·	PUNCT
ejpam-2653	93	5	an	an	DET
ejpam-2653	93	6			PROPN
ejpam-2653	93	7	c1	c1	NOUN
ejpam-2653	93	8	...	...	PUNCT
ejpam-2653	94	1	cn	cn	PROPN
ejpam-2653	94	2			PROPN
ejpam-2653	94	3	,	,	PUNCT
ejpam-2653	94	4	c1	c1	NOUN
ejpam-2653	94	5	...	...	PUNCT
ejpam-2653	95	1	cn	cn	PROPN
ejpam-2653	95	2			NOUN
ejpam-2653	95	3			PROPN
ejpam-2653	96	1	=	=	PUNCT
ejpam-2653	96	2	ϕ̃	ϕ̃	PROPN
ejpam-2653	96	3			NOUN
ejpam-2653	96	4	a1c1	a1c1	NOUN
ejpam-2653	96	5	...	...	PUNCT
ejpam-2653	96	6	ancn	ancn	PROPN
ejpam-2653	96	7			NOUN
ejpam-2653	96	8	,	,	PUNCT
ejpam-2653	96	9	c1	c1	NOUN
ejpam-2653	96	10	...	...	PUNCT
ejpam-2653	97	1	cn	cn	PROPN
ejpam-2653	97	2			PROPN
ejpam-2653	97	3			PROPN
ejpam-2653	98	1	=	=	PUNCT
ejpam-2653	98	2	n∑	n∑	PROPN
ejpam-2653	98	3	i=1	i=1	PROPN
ejpam-2653	99	1	ϕ	ϕ	PROPN
ejpam-2653	99	2	(	(	PUNCT
ejpam-2653	99	3	aici	aici	PROPN
ejpam-2653	99	4	,	,	PUNCT
ejpam-2653	99	5	ci	ci	PROPN
ejpam-2653	99	6	)	)	PUNCT
ejpam-2653	99	7	.	.	PUNCT
ejpam-2653	100	1	it	it	PRON
ejpam-2653	100	2	can	can	AUX
ejpam-2653	100	3	be	be	AUX
ejpam-2653	100	4	deduced	deduce	VERB
ejpam-2653	100	5	from	from	ADP
ejpam-2653	100	6	theorem	theorem	ADJ
ejpam-2653	100	7	2	2	NUM
ejpam-2653	100	8	that	that	SCONJ
ejpam-2653	100	9	ϕ̃	ϕ̃	PROPN
ejpam-2653	100	10	(	(	PUNCT
ejpam-2653	100	11	ãc̃	ãc̃	PROPN
ejpam-2653	100	12	,	,	PUNCT
ejpam-2653	100	13	c̃	c̃	PROPN
ejpam-2653	100	14	)	)	PUNCT
ejpam-2653	101	1	#	#	SYM
ejpam-2653	101	2	ϕ̃	ϕ̃	PROPN
ejpam-2653	101	3	(	(	PUNCT
ejpam-2653	101	4	ã−1c̃	ã−1c̃	PROPN
ejpam-2653	101	5	,	,	PUNCT
ejpam-2653	101	6	c̃	c̃	PROPN
ejpam-2653	101	7	)	)	PUNCT
ejpam-2653	101	8	≤	≤	PUNCT
ejpam-2653	101	9	m	m	VERB
ejpam-2653	102	1	+	+	NOUN
ejpam-2653	103	1	m	m	VERB
ejpam-2653	103	2	2	2	NUM
ejpam-2653	103	3	√	√	NUM
ejpam-2653	103	4	mm	mm	PROPN
ejpam-2653	103	5	ϕ̃	ϕ̃	PROPN
ejpam-2653	103	6	(	(	PUNCT
ejpam-2653	103	7	c̃	c̃	PROPN
ejpam-2653	103	8	,	,	PUNCT
ejpam-2653	103	9	c̃	c̃	PROPN
ejpam-2653	103	10	)	)	PUNCT
ejpam-2653	103	11	.	.	PUNCT
ejpam-2653	104	1	this	this	PRON
ejpam-2653	104	2	completes	complete	VERB
ejpam-2653	104	3	the	the	DET
ejpam-2653	104	4	proof	proof	NOUN
ejpam-2653	104	5	.	.	PUNCT
ejpam-2653	105	1	the	the	DET
ejpam-2653	105	2	following	follow	VERB
ejpam-2653	105	3	corollary	corollary	NOUN
ejpam-2653	105	4	follows	follow	VERB
ejpam-2653	105	5	immediately	immediately	ADV
ejpam-2653	105	6	.	.	PUNCT
ejpam-2653	106	1	corollary	corollary	ADJ
ejpam-2653	106	2	1	1	NUM
ejpam-2653	106	3	.	.	PUNCT
ejpam-2653	107	1	if	if	SCONJ
ejpam-2653	107	2	in	in	ADP
ejpam-2653	107	3	theorem	theorem	NOUN
ejpam-2653	107	4	3	3	NUM
ejpam-2653	107	5	,	,	PUNCT
ejpam-2653	107	6	c̃	c̃	PROPN
ejpam-2653	107	7	=	=	SYM
ejpam-2653	107	8	c1	c1	NOUN
ejpam-2653	107	9	...	...	PUNCT
ejpam-2653	108	1	cn	cn	PROPN
ejpam-2653	108	2			PROPN
ejpam-2653	108	3	is	be	AUX
ejpam-2653	108	4	a	a	DET
ejpam-2653	108	5	ϕ̃-unitary	ϕ̃-unitary	ADJ
ejpam-2653	108	6	,	,	PUNCT
ejpam-2653	108	7	then	then	ADV
ejpam-2653	108	8	(	(	PUNCT
ejpam-2653	108	9	n∑	n∑	NOUN
ejpam-2653	108	10	i=1	i=1	PROPN
ejpam-2653	108	11	ϕ	ϕ	PROPN
ejpam-2653	108	12	(	(	PUNCT
ejpam-2653	108	13	aici	aici	PROPN
ejpam-2653	108	14	,	,	PUNCT
ejpam-2653	108	15	ci	ci	NOUN
ejpam-2653	108	16	)	)	PUNCT
ejpam-2653	108	17	)	)	PUNCT
ejpam-2653	109	1	#	#	NOUN
ejpam-2653	109	2	(	(	PUNCT
ejpam-2653	109	3	n∑	n∑	NOUN
ejpam-2653	109	4	i=1	i=1	PROPN
ejpam-2653	110	1	ϕ	ϕ	PROPN
ejpam-2653	111	1	(	(	PUNCT
ejpam-2653	111	2	a−1	a−1	PROPN
ejpam-2653	111	3	i	i	PROPN
ejpam-2653	111	4	ci	ci	PROPN
ejpam-2653	111	5	,	,	PUNCT
ejpam-2653	111	6	ci	ci	PROPN
ejpam-2653	111	7	)	)	PUNCT
ejpam-2653	111	8	)	)	PUNCT
ejpam-2653	112	1	≤	≤	NUM
ejpam-2653	112	2	m	m	VERB
ejpam-2653	113	1	+	+	NOUN
ejpam-2653	113	2	m	m	VERB
ejpam-2653	113	3	2	2	NUM
ejpam-2653	113	4	√	√	NUM
ejpam-2653	113	5	mm	mm	INTJ
ejpam-2653	113	6	.	.	PUNCT
ejpam-2653	114	1	theorem	theorem	ADJ
ejpam-2653	114	2	4	4	NUM
ejpam-2653	114	3	.	.	PUNCT
ejpam-2653	115	1	let	let	VERB
ejpam-2653	115	2	a	a	DET
ejpam-2653	115	3	be	be	AUX
ejpam-2653	115	4	a	a	DET
ejpam-2653	115	5	positive	positive	ADJ
ejpam-2653	115	6	operator	operator	NOUN
ejpam-2653	115	7	on	on	ADP
ejpam-2653	115	8	h	h	NOUN
ejpam-2653	115	9	satisfying	satisfy	VERB
ejpam-2653	115	10	m1h	m1h	PROPN
ejpam-2653	115	11	≥	≥	NUM
ejpam-2653	115	12	a	a	DET
ejpam-2653	115	13	≥	≥	NOUN
ejpam-2653	115	14	m1h	m1h	X
ejpam-2653	115	15	>	>	X
ejpam-2653	115	16	0	0	PUNCT
ejpam-2653	116	1	for	for	ADP
ejpam-2653	116	2	some	some	DET
ejpam-2653	116	3	scalars	scalar	NOUN
ejpam-2653	116	4	m	m	VERB
ejpam-2653	116	5	<	<	X
ejpam-2653	116	6	m	m	VERB
ejpam-2653	116	7	.	.	PUNCT
ejpam-2653	117	1	then	then	ADV
ejpam-2653	117	2	ϕ	ϕ	X
ejpam-2653	117	3	(	(	PUNCT
ejpam-2653	117	4	a−1c	a−1c	PROPN
ejpam-2653	117	5	,	,	PUNCT
ejpam-2653	117	6	c	c	NOUN
ejpam-2653	117	7	)	)	PUNCT
ejpam-2653	117	8	−	−	PROPN
ejpam-2653	117	9	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	117	10	,	,	PUNCT
ejpam-2653	117	11	c)−1	c)−1	NOUN
ejpam-2653	117	12	≤	≤	NOUN
ejpam-2653	117	13	(	(	PUNCT
ejpam-2653	117	14	√	√	NUM
ejpam-2653	117	15	m	m	VERB
ejpam-2653	117	16	−	−	NOUN
ejpam-2653	117	17	√	√	PROPN
ejpam-2653	117	18	m	m	NOUN
ejpam-2653	117	19	)	)	PUNCT
ejpam-2653	117	20	2	2	NUM
ejpam-2653	117	21	mm	mm	PROPN
ejpam-2653	117	22	ϕ	ϕ	X
ejpam-2653	117	23	(	(	PUNCT
ejpam-2653	117	24	c	c	X
ejpam-2653	117	25	,	,	PUNCT
ejpam-2653	117	26	c	c	NOUN
ejpam-2653	117	27	)	)	PUNCT
ejpam-2653	117	28	,	,	PUNCT
ejpam-2653	117	29	for	for	ADP
ejpam-2653	117	30	every	every	DET
ejpam-2653	117	31	c	c	PROPN
ejpam-2653	117	32	∈	∈	PROPN
ejpam-2653	117	33	b	b	PROPN
ejpam-2653	117	34	(	(	PUNCT
ejpam-2653	117	35	h	h	NOUN
ejpam-2653	117	36	)	)	PUNCT
ejpam-2653	117	37	.	.	PUNCT
ejpam-2653	118	1	proof	proof	NOUN
ejpam-2653	118	2	.	.	PUNCT
ejpam-2653	119	1	according	accord	VERB
ejpam-2653	119	2	to	to	ADP
ejpam-2653	119	3	lemma	lemma	PROPN
ejpam-2653	119	4	1	1	NUM
ejpam-2653	119	5	,	,	PUNCT
ejpam-2653	119	6	we	we	PRON
ejpam-2653	119	7	have	have	VERB
ejpam-2653	119	8	(	(	PUNCT
ejpam-2653	119	9	m	m	VERB
ejpam-2653	119	10	+	+	NOUN
ejpam-2653	119	11	m	m	X
ejpam-2653	119	12	)	)	PUNCT
ejpam-2653	119	13	1h	1h	NUM
ejpam-2653	119	14	≥mma−1	≥mma−1	NOUN
ejpam-2653	119	15	+	+	PUNCT
ejpam-2653	119	16	a	a	PRON
ejpam-2653	119	17	and	and	CCONJ
ejpam-2653	119	18	hence	hence	ADV
ejpam-2653	119	19	ϕ	ϕ	X
ejpam-2653	119	20	(	(	PUNCT
ejpam-2653	119	21	a−1c	a−1c	ADJ
ejpam-2653	119	22	,	,	PUNCT
ejpam-2653	119	23	c	c	NOUN
ejpam-2653	119	24	)	)	PUNCT
ejpam-2653	119	25	≤	≤	NUM
ejpam-2653	119	26	m	m	VERB
ejpam-2653	120	1	+	+	NOUN
ejpam-2653	120	2	m	m	VERB
ejpam-2653	120	3	mm	mm	ADJ
ejpam-2653	120	4	ϕ	ϕ	X
ejpam-2653	120	5	(	(	PUNCT
ejpam-2653	120	6	c	c	X
ejpam-2653	120	7	,	,	PUNCT
ejpam-2653	120	8	c)−	c)−	PROPN
ejpam-2653	120	9	1	1	NUM
ejpam-2653	120	10	mm	mm	PROPN
ejpam-2653	120	11	ϕ	ϕ	PROPN
ejpam-2653	120	12	(	(	PUNCT
ejpam-2653	120	13	ac	ac	PROPN
ejpam-2653	120	14	,	,	PUNCT
ejpam-2653	120	15	c	c	NOUN
ejpam-2653	120	16	)	)	PUNCT
ejpam-2653	120	17	,	,	PUNCT
ejpam-2653	120	18	h.r	h.r	PROPN
ejpam-2653	120	19	.	.	PROPN
ejpam-2653	120	20	moradi	moradi	PROPN
ejpam-2653	120	21	,	,	PUNCT
ejpam-2653	120	22	m.e	m.e	PROPN
ejpam-2653	120	23	.	.	PROPN
ejpam-2653	120	24	omidvar	omidvar	PROPN
ejpam-2653	120	25	,	,	PUNCT
ejpam-2653	120	26	m.k	m.k	PROPN
ejpam-2653	120	27	.	.	PROPN
ejpam-2653	120	28	anwary	anwary	PROPN
ejpam-2653	120	29	/	/	SYM
ejpam-2653	120	30	eur	eur	PROPN
ejpam-2653	120	31	.	.	PUNCT
ejpam-2653	121	1	j.	j.	PROPN
ejpam-2653	121	2	pure	pure	PROPN
ejpam-2653	121	3	appl	appl	PROPN
ejpam-2653	121	4	.	.	PROPN
ejpam-2653	121	5	math	math	PROPN
ejpam-2653	121	6	,	,	PUNCT
ejpam-2653	121	7	10	10	NUM
ejpam-2653	121	8	(	(	PUNCT
ejpam-2653	121	9	2	2	NUM
ejpam-2653	121	10	)	)	PUNCT
ejpam-2653	121	11	(	(	PUNCT
ejpam-2653	121	12	2017	2017	NUM
ejpam-2653	121	13	)	)	PUNCT
ejpam-2653	121	14	,	,	PUNCT
ejpam-2653	121	15	231	231	NUM
ejpam-2653	121	16	-	-	SYM
ejpam-2653	121	17	237	237	NUM
ejpam-2653	121	18	235	235	NUM
ejpam-2653	121	19	for	for	ADP
ejpam-2653	121	20	every	every	DET
ejpam-2653	121	21	c	c	PROPN
ejpam-2653	121	22	∈	∈	PROPN
ejpam-2653	121	23	b	b	PROPN
ejpam-2653	121	24	(	(	PUNCT
ejpam-2653	121	25	h	h	NOUN
ejpam-2653	121	26	)	)	PUNCT
ejpam-2653	121	27	.	.	PUNCT
ejpam-2653	122	1	then	then	ADV
ejpam-2653	122	2	it	it	PRON
ejpam-2653	122	3	follows	follow	VERB
ejpam-2653	122	4	that	that	SCONJ
ejpam-2653	123	1	ϕ	ϕ	PROPN
ejpam-2653	123	2	(	(	PUNCT
ejpam-2653	123	3	a−1c	a−1c	PROPN
ejpam-2653	123	4	,	,	PUNCT
ejpam-2653	123	5	c	c	NOUN
ejpam-2653	123	6	)	)	PUNCT
ejpam-2653	123	7	−	−	PROPN
ejpam-2653	123	8	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	123	9	,	,	PUNCT
ejpam-2653	123	10	c)−1	c)−1	NOUN
ejpam-2653	123	11	≤	≤	NOUN
ejpam-2653	123	12	(	(	PUNCT
ejpam-2653	123	13	1	1	NUM
ejpam-2653	123	14	m	m	NOUN
ejpam-2653	123	15	+	+	NUM
ejpam-2653	123	16	1	1	NUM
ejpam-2653	123	17	m	m	NOUN
ejpam-2653	123	18	)	)	PUNCT
ejpam-2653	123	19	ϕ	ϕ	NOUN
ejpam-2653	123	20	(	(	PUNCT
ejpam-2653	123	21	c	c	X
ejpam-2653	123	22	,	,	PUNCT
ejpam-2653	123	23	c)−	c)−	PROPN
ejpam-2653	123	24	1	1	NUM
ejpam-2653	123	25	mm	mm	PROPN
ejpam-2653	123	26	ϕ	ϕ	PROPN
ejpam-2653	123	27	(	(	PUNCT
ejpam-2653	123	28	ac	ac	PROPN
ejpam-2653	123	29	,	,	PUNCT
ejpam-2653	123	30	c)−	c)−	PROPN
ejpam-2653	123	31	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	123	32	,	,	PUNCT
ejpam-2653	123	33	c)−1	c)−1	NOUN
ejpam-2653	123	34	=	=	SYM
ejpam-2653	123	35	(	(	PUNCT
ejpam-2653	123	36	1√	1√	PROPN
ejpam-2653	123	37	m	m	NOUN
ejpam-2653	123	38	−	−	PROPN
ejpam-2653	123	39	1√	1√	PROPN
ejpam-2653	123	40	m	m	NOUN
ejpam-2653	123	41	)	)	PUNCT
ejpam-2653	123	42	2	2	NUM
ejpam-2653	123	43	ϕ	ϕ	X
ejpam-2653	123	44	(	(	PUNCT
ejpam-2653	123	45	c	c	X
ejpam-2653	123	46	,	,	PUNCT
ejpam-2653	123	47	c)−	c)−	PROPN
ejpam-2653	123	48	(	(	PUNCT
ejpam-2653	123	49	1√	1√	PROPN
ejpam-2653	123	50	mm	mm	PROPN
ejpam-2653	123	51	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	123	52	,	,	PUNCT
ejpam-2653	123	53	c	c	NOUN
ejpam-2653	123	54	)	)	PUNCT
ejpam-2653	123	55	1	1	NUM
ejpam-2653	123	56	2	2	NUM
ejpam-2653	123	57	−	−	NOUN
ejpam-2653	123	58	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	123	59	,	,	PUNCT
ejpam-2653	123	60	c)−	c)−	PROPN
ejpam-2653	123	61	1	1	NUM
ejpam-2653	123	62	2	2	NUM
ejpam-2653	123	63	)	)	SYM
ejpam-2653	123	64	2	2	NUM
ejpam-2653	123	65	≤	≤	NOUN
ejpam-2653	123	66	(	(	PUNCT
ejpam-2653	123	67	1√	1√	PROPN
ejpam-2653	123	68	m	m	NOUN
ejpam-2653	123	69	−	−	PROPN
ejpam-2653	123	70	1√	1√	PROPN
ejpam-2653	123	71	m	m	NOUN
ejpam-2653	123	72	)	)	PUNCT
ejpam-2653	123	73	2	2	NUM
ejpam-2653	123	74	ϕ	ϕ	X
ejpam-2653	123	75	(	(	PUNCT
ejpam-2653	123	76	c	c	X
ejpam-2653	123	77	,	,	PUNCT
ejpam-2653	123	78	c	c	NOUN
ejpam-2653	123	79	)	)	PUNCT
ejpam-2653	123	80	.	.	PUNCT
ejpam-2653	124	1	based	base	VERB
ejpam-2653	124	2	on	on	ADP
ejpam-2653	124	3	the	the	DET
ejpam-2653	124	4	discussion	discussion	NOUN
ejpam-2653	124	5	above	above	ADV
ejpam-2653	124	6	,	,	PUNCT
ejpam-2653	124	7	we	we	PRON
ejpam-2653	124	8	conclude	conclude	VERB
ejpam-2653	124	9	that	that	DET
ejpam-2653	124	10	ϕ	ϕ	PROPN
ejpam-2653	124	11	(	(	PUNCT
ejpam-2653	124	12	a−1c	a−1c	PROPN
ejpam-2653	124	13	,	,	PUNCT
ejpam-2653	124	14	c	c	NOUN
ejpam-2653	124	15	)	)	PUNCT
ejpam-2653	124	16	−	−	PROPN
ejpam-2653	124	17	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	124	18	,	,	PUNCT
ejpam-2653	124	19	c)−1	c)−1	NOUN
ejpam-2653	124	20	≤	≤	NOUN
ejpam-2653	124	21	(	(	PUNCT
ejpam-2653	124	22	√	√	NUM
ejpam-2653	124	23	m	m	VERB
ejpam-2653	124	24	−	−	NOUN
ejpam-2653	124	25	√	√	PROPN
ejpam-2653	124	26	m	m	NOUN
ejpam-2653	124	27	)	)	PUNCT
ejpam-2653	124	28	2	2	NUM
ejpam-2653	124	29	mm	mm	PROPN
ejpam-2653	124	30	ϕ	ϕ	X
ejpam-2653	124	31	(	(	PUNCT
ejpam-2653	124	32	c	c	X
ejpam-2653	124	33	,	,	PUNCT
ejpam-2653	124	34	c	c	NOUN
ejpam-2653	124	35	)	)	PUNCT
ejpam-2653	124	36	.	.	PUNCT
ejpam-2653	125	1	we	we	PRON
ejpam-2653	125	2	have	have	AUX
ejpam-2653	125	3	completed	complete	VERB
ejpam-2653	125	4	the	the	DET
ejpam-2653	125	5	proof	proof	NOUN
ejpam-2653	125	6	of	of	ADP
ejpam-2653	125	7	theorem	theorem	ADJ
ejpam-2653	125	8	4	4	NUM
ejpam-2653	125	9	.	.	PUNCT
ejpam-2653	125	10	proposition	proposition	NOUN
ejpam-2653	125	11	1	1	NUM
ejpam-2653	125	12	.	.	PUNCT
ejpam-2653	126	1	let	let	VERB
ejpam-2653	126	2	a	a	DET
ejpam-2653	126	3	be	be	AUX
ejpam-2653	126	4	a	a	DET
ejpam-2653	126	5	positive	positive	ADJ
ejpam-2653	126	6	operator	operator	NOUN
ejpam-2653	126	7	on	on	ADP
ejpam-2653	126	8	h	h	NOUN
ejpam-2653	126	9	satisfying	satisfy	VERB
ejpam-2653	126	10	m1h	m1h	PROPN
ejpam-2653	126	11	≥	≥	NUM
ejpam-2653	126	12	a	a	DET
ejpam-2653	126	13	≥	≥	NOUN
ejpam-2653	126	14	m1h	m1h	X
ejpam-2653	126	15	>	>	X
ejpam-2653	126	16	0	0	PUNCT
ejpam-2653	127	1	for	for	ADP
ejpam-2653	127	2	some	some	DET
ejpam-2653	127	3	scalars	scalar	NOUN
ejpam-2653	127	4	m	m	VERB
ejpam-2653	127	5	<	<	X
ejpam-2653	127	6	m	m	VERB
ejpam-2653	127	7	.	.	PUNCT
ejpam-2653	128	1	then	then	ADV
ejpam-2653	128	2	ϕ	ϕ	X
ejpam-2653	128	3	(	(	PUNCT
ejpam-2653	128	4	a2c	a2c	PROPN
ejpam-2653	128	5	,	,	PUNCT
ejpam-2653	128	6	c	c	NOUN
ejpam-2653	128	7	)	)	PUNCT
ejpam-2653	128	8	#	#	SYM
ejpam-2653	128	9	ϕ	ϕ	X
ejpam-2653	128	10	(	(	PUNCT
ejpam-2653	128	11	c	c	X
ejpam-2653	128	12	,	,	PUNCT
ejpam-2653	128	13	c	c	NOUN
ejpam-2653	128	14	)	)	PUNCT
ejpam-2653	128	15	≤	≤	NUM
ejpam-2653	128	16	m	m	VERB
ejpam-2653	129	1	+	+	NOUN
ejpam-2653	129	2	m	m	VERB
ejpam-2653	129	3	2	2	NUM
ejpam-2653	129	4	√	√	NUM
ejpam-2653	129	5	mm	mm	PROPN
ejpam-2653	129	6	ϕ	ϕ	PROPN
ejpam-2653	129	7	(	(	PUNCT
ejpam-2653	129	8	ac	ac	PROPN
ejpam-2653	129	9	,	,	PUNCT
ejpam-2653	129	10	c	c	NOUN
ejpam-2653	129	11	)	)	PUNCT
ejpam-2653	129	12	,	,	PUNCT
ejpam-2653	129	13	for	for	ADP
ejpam-2653	129	14	every	every	DET
ejpam-2653	129	15	c	c	PROPN
ejpam-2653	129	16	∈	∈	PROPN
ejpam-2653	129	17	b	b	PROPN
ejpam-2653	129	18	(	(	PUNCT
ejpam-2653	129	19	h	h	NOUN
ejpam-2653	129	20	)	)	PUNCT
ejpam-2653	129	21	.	.	PUNCT
ejpam-2653	130	1	proof	proof	NOUN
ejpam-2653	130	2	.	.	PUNCT
ejpam-2653	131	1	replacing	replace	VERB
ejpam-2653	131	2	c	c	NOUN
ejpam-2653	131	3	with	with	ADP
ejpam-2653	131	4	a	a	DET
ejpam-2653	131	5	1	1	NUM
ejpam-2653	131	6	2c	2c	NOUN
ejpam-2653	131	7	in	in	ADP
ejpam-2653	131	8	the	the	DET
ejpam-2653	131	9	(	(	PUNCT
ejpam-2653	131	10	3	3	NUM
ejpam-2653	131	11	)	)	PUNCT
ejpam-2653	131	12	,	,	PUNCT
ejpam-2653	131	13	we	we	PRON
ejpam-2653	131	14	have	have	VERB
ejpam-2653	131	15	ϕ	ϕ	NOUN
ejpam-2653	131	16	(	(	PUNCT
ejpam-2653	131	17	aa	aa	NOUN
ejpam-2653	131	18	1	1	NUM
ejpam-2653	131	19	2c	2c	NUM
ejpam-2653	131	20	,	,	PUNCT
ejpam-2653	131	21	a	a	DET
ejpam-2653	131	22	1	1	NUM
ejpam-2653	131	23	2c	2c	NUM
ejpam-2653	131	24	)	)	PUNCT
ejpam-2653	132	1	#	#	SYM
ejpam-2653	132	2	ϕ	ϕ	NOUN
ejpam-2653	132	3	(	(	PUNCT
ejpam-2653	132	4	a−1a	a−1a	PROPN
ejpam-2653	132	5	1	1	NUM
ejpam-2653	132	6	2c	2c	NUM
ejpam-2653	132	7	,	,	PUNCT
ejpam-2653	132	8	a	a	DET
ejpam-2653	132	9	1	1	NUM
ejpam-2653	132	10	2c	2c	NUM
ejpam-2653	132	11	)	)	PUNCT
ejpam-2653	132	12	≤	≤	NUM
ejpam-2653	132	13	m	m	VERB
ejpam-2653	132	14	+	+	NOUN
ejpam-2653	132	15	m	m	VERB
ejpam-2653	132	16	2	2	NUM
ejpam-2653	132	17	√	√	NUM
ejpam-2653	132	18	mm	mm	PROPN
ejpam-2653	132	19	ϕ	ϕ	PROPN
ejpam-2653	132	20	(	(	PUNCT
ejpam-2653	132	21	a	a	DET
ejpam-2653	132	22	1	1	NUM
ejpam-2653	132	23	2c	2c	NUM
ejpam-2653	132	24	,	,	PUNCT
ejpam-2653	132	25	a	a	DET
ejpam-2653	132	26	1	1	NUM
ejpam-2653	132	27	2c	2c	NUM
ejpam-2653	132	28	)	)	PUNCT
ejpam-2653	132	29	therefore	therefore	ADV
ejpam-2653	132	30	ϕ	ϕ	X
ejpam-2653	132	31	(	(	PUNCT
ejpam-2653	132	32	a2c	a2c	PROPN
ejpam-2653	132	33	,	,	PUNCT
ejpam-2653	132	34	c	c	NOUN
ejpam-2653	132	35	)	)	PUNCT
ejpam-2653	132	36	#	#	SYM
ejpam-2653	132	37	ϕ	ϕ	X
ejpam-2653	132	38	(	(	PUNCT
ejpam-2653	132	39	c	c	X
ejpam-2653	132	40	,	,	PUNCT
ejpam-2653	132	41	c	c	NOUN
ejpam-2653	132	42	)	)	PUNCT
ejpam-2653	132	43	≤	≤	NUM
ejpam-2653	132	44	m	m	VERB
ejpam-2653	133	1	+	+	NOUN
ejpam-2653	133	2	m	m	VERB
ejpam-2653	134	1	2	2	NUM
ejpam-2653	134	2	√	√	NUM
ejpam-2653	134	3	mm	mm	PROPN
ejpam-2653	134	4	ϕ	ϕ	PROPN
ejpam-2653	134	5	(	(	PUNCT
ejpam-2653	134	6	ac	ac	PROPN
ejpam-2653	134	7	,	,	PUNCT
ejpam-2653	134	8	c	c	NOUN
ejpam-2653	134	9	)	)	PUNCT
ejpam-2653	134	10	.	.	PUNCT
ejpam-2653	135	1	which	which	PRON
ejpam-2653	135	2	completes	complete	VERB
ejpam-2653	135	3	the	the	DET
ejpam-2653	135	4	proof	proof	NOUN
ejpam-2653	135	5	.	.	PUNCT
ejpam-2653	136	1	to	to	PART
ejpam-2653	136	2	prove	prove	VERB
ejpam-2653	136	3	the	the	DET
ejpam-2653	136	4	theorem	theorem	NOUN
ejpam-2653	136	5	5	5	NUM
ejpam-2653	136	6	,	,	PUNCT
ejpam-2653	136	7	we	we	PRON
ejpam-2653	136	8	need	need	VERB
ejpam-2653	136	9	the	the	DET
ejpam-2653	136	10	following	following	ADJ
ejpam-2653	136	11	basic	basic	ADJ
ejpam-2653	136	12	lemma	lemma	PROPN
ejpam-2653	136	13	.	.	PUNCT
ejpam-2653	137	1	lemma	lemma	PROPN
ejpam-2653	137	2	2	2	X
ejpam-2653	137	3	.	.	PUNCT
ejpam-2653	137	4	let	let	VERB
ejpam-2653	137	5	a	a	PRON
ejpam-2653	137	6	be	be	AUX
ejpam-2653	137	7	a	a	DET
ejpam-2653	137	8	self	self	NOUN
ejpam-2653	137	9	-	-	PUNCT
ejpam-2653	137	10	adjoint	adjoint	NOUN
ejpam-2653	137	11	operator	operator	NOUN
ejpam-2653	137	12	on	on	ADP
ejpam-2653	137	13	h	h	NOUN
ejpam-2653	137	14	satisfying	satisfy	VERB
ejpam-2653	137	15	m1h	m1h	PROPN
ejpam-2653	137	16	≥	≥	NUM
ejpam-2653	137	17	a	a	DET
ejpam-2653	137	18	≥	≥	NOUN
ejpam-2653	137	19	m1h	m1h	NOUN
ejpam-2653	137	20	for	for	ADP
ejpam-2653	137	21	some	some	DET
ejpam-2653	137	22	scalars	scalar	NOUN
ejpam-2653	137	23	m	m	VERB
ejpam-2653	137	24	<	<	X
ejpam-2653	137	25	m	m	PROPN
ejpam-2653	137	26	,	,	PUNCT
ejpam-2653	137	27	then	then	ADV
ejpam-2653	137	28	(	(	PUNCT
ejpam-2653	137	29	m1h	m1h	NOUN
ejpam-2653	137	30	−a	−a	PROPN
ejpam-2653	137	31	)	)	PUNCT
ejpam-2653	137	32	(	(	PUNCT
ejpam-2653	137	33	a−m1h	a−m1h	X
ejpam-2653	137	34	)	)	PUNCT
ejpam-2653	137	35	≤	≤	NUM
ejpam-2653	137	36	(	(	PUNCT
ejpam-2653	137	37	m	m	VERB
ejpam-2653	137	38	−m	−m	ADJ
ejpam-2653	137	39	2	2	NUM
ejpam-2653	137	40	)	)	SYM
ejpam-2653	137	41	2	2	NUM
ejpam-2653	137	42	.	.	PUNCT
ejpam-2653	138	1	references	reference	NOUN
ejpam-2653	138	2	236	236	NUM
ejpam-2653	138	3	proof	proof	NOUN
ejpam-2653	138	4	.	.	PUNCT
ejpam-2653	139	1	a	a	DET
ejpam-2653	139	2	simple	simple	ADJ
ejpam-2653	139	3	computation	computation	NOUN
ejpam-2653	139	4	yields	yield	NOUN
ejpam-2653	139	5	(	(	PUNCT
ejpam-2653	139	6	m1h	m1h	NOUN
ejpam-2653	139	7	−a	−a	PROPN
ejpam-2653	139	8	)	)	PUNCT
ejpam-2653	139	9	(	(	PUNCT
ejpam-2653	139	10	a−m1h	a−m1h	X
ejpam-2653	139	11	)	)	PUNCT
ejpam-2653	139	12	=	=	SYM
ejpam-2653	139	13	(	(	PUNCT
ejpam-2653	139	14	m	m	VERB
ejpam-2653	139	15	+	+	ADJ
ejpam-2653	139	16	m)a−mm1h	m)a−mm1h	ADJ
ejpam-2653	139	17	−a2	−a2	NOUN
ejpam-2653	139	18	=	=	PUNCT
ejpam-2653	139	19	(	(	PUNCT
ejpam-2653	139	20	m	m	VERB
ejpam-2653	139	21	−m)2	−m)2	NUM
ejpam-2653	139	22	4	4	NUM
ejpam-2653	139	23	1h	1h	NUM
ejpam-2653	139	24	−	−	PROPN
ejpam-2653	139	25	(	(	PUNCT
ejpam-2653	139	26	a−	a−	PROPN
ejpam-2653	139	27	m	m	PROPN
ejpam-2653	139	28	+	+	NOUN
ejpam-2653	139	29	m	m	VERB
ejpam-2653	139	30	2	2	NUM
ejpam-2653	139	31	1h	1h	NUM
ejpam-2653	139	32	)	)	PUNCT
ejpam-2653	139	33	2	2	NUM
ejpam-2653	139	34	≤	≤	NOUN
ejpam-2653	139	35	(	(	PUNCT
ejpam-2653	139	36	m	m	VERB
ejpam-2653	139	37	−m	−m	ADJ
ejpam-2653	139	38	2	2	NUM
ejpam-2653	139	39	)	)	PUNCT
ejpam-2653	139	40	2	2	NUM
ejpam-2653	139	41	1h	1h	NUM
ejpam-2653	139	42	,	,	PUNCT
ejpam-2653	139	43	as	as	SCONJ
ejpam-2653	139	44	desired	desire	VERB
ejpam-2653	139	45	.	.	PUNCT
ejpam-2653	140	1	theorem	theorem	NOUN
ejpam-2653	140	2	5	5	NUM
ejpam-2653	140	3	.	.	PUNCT
ejpam-2653	141	1	let	let	VERB
ejpam-2653	141	2	a	a	PRON
ejpam-2653	141	3	be	be	AUX
ejpam-2653	141	4	a	a	DET
ejpam-2653	141	5	self	self	NOUN
ejpam-2653	141	6	-	-	PUNCT
ejpam-2653	141	7	adjoint	adjoint	NOUN
ejpam-2653	141	8	operator	operator	NOUN
ejpam-2653	141	9	on	on	ADP
ejpam-2653	141	10	h	h	NOUN
ejpam-2653	141	11	satisfying	satisfy	VERB
ejpam-2653	141	12	m1h	m1h	PROPN
ejpam-2653	141	13	≥	≥	NUM
ejpam-2653	141	14	a	a	DET
ejpam-2653	141	15	≥	≥	NOUN
ejpam-2653	141	16	m1h	m1h	NOUN
ejpam-2653	141	17	for	for	ADP
ejpam-2653	141	18	some	some	DET
ejpam-2653	141	19	scalars	scalar	NOUN
ejpam-2653	141	20	m	m	VERB
ejpam-2653	141	21	<	<	X
ejpam-2653	141	22	m	m	NOUN
ejpam-2653	141	23	and	and	CCONJ
ejpam-2653	141	24	ϕ	ϕ	X
ejpam-2653	141	25	(	(	PUNCT
ejpam-2653	141	26	c	c	X
ejpam-2653	141	27	,	,	PUNCT
ejpam-2653	141	28	c	c	NOUN
ejpam-2653	141	29	)	)	PUNCT
ejpam-2653	141	30	=	=	SYM
ejpam-2653	141	31	1h	1h	NUM
ejpam-2653	141	32	.	.	PUNCT
ejpam-2653	142	1	then	then	ADV
ejpam-2653	142	2	ϕ	ϕ	X
ejpam-2653	142	3	(	(	PUNCT
ejpam-2653	142	4	a2c	a2c	PROPN
ejpam-2653	142	5	,	,	PUNCT
ejpam-2653	142	6	c	c	NOUN
ejpam-2653	142	7	)	)	PUNCT
ejpam-2653	142	8	−	−	PROPN
ejpam-2653	142	9	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	142	10	,	,	PUNCT
ejpam-2653	142	11	c)2	c)2	PROPN
ejpam-2653	142	12	≤	≤	NOUN
ejpam-2653	142	13	(	(	PUNCT
ejpam-2653	142	14	m	m	VERB
ejpam-2653	142	15	−m)2	−m)2	ADJ
ejpam-2653	142	16	4	4	NUM
ejpam-2653	142	17	.	.	PUNCT
ejpam-2653	143	1	proof	proof	NOUN
ejpam-2653	143	2	.	.	PUNCT
ejpam-2653	144	1	by	by	ADP
ejpam-2653	144	2	lemma	lemma	PROPN
ejpam-2653	144	3	2	2	NUM
ejpam-2653	144	4	we	we	PRON
ejpam-2653	144	5	have	have	VERB
ejpam-2653	144	6	ϕ	ϕ	X
ejpam-2653	144	7	(	(	PUNCT
ejpam-2653	144	8	a2c	a2c	PROPN
ejpam-2653	144	9	,	,	PUNCT
ejpam-2653	144	10	c	c	NOUN
ejpam-2653	144	11	)	)	PUNCT
ejpam-2653	145	1	−	−	PROPN
ejpam-2653	145	2	ϕ(ac	ϕ(ac	PROPN
ejpam-2653	145	3	,	,	PUNCT
ejpam-2653	145	4	c)2	c)2	PROPN
ejpam-2653	145	5	=	=	PUNCT
ejpam-2653	145	6	(	(	PUNCT
ejpam-2653	145	7	m1h	m1h	X
ejpam-2653	145	8	−	−	PROPN
ejpam-2653	145	9	ϕ	ϕ	PROPN
ejpam-2653	145	10	(	(	PUNCT
ejpam-2653	145	11	ac	ac	PROPN
ejpam-2653	145	12	,	,	PUNCT
ejpam-2653	145	13	c	c	NOUN
ejpam-2653	145	14	)	)	PUNCT
ejpam-2653	145	15	)	)	PUNCT
ejpam-2653	146	1	(	(	PUNCT
ejpam-2653	146	2	ϕ	ϕ	X
ejpam-2653	146	3	(	(	PUNCT
ejpam-2653	146	4	ac	ac	PROPN
ejpam-2653	146	5	,	,	PUNCT
ejpam-2653	146	6	c)−m1h	c)−m1h	PROPN
ejpam-2653	146	7	)	)	PUNCT
ejpam-2653	146	8	−	−	PROPN
ejpam-2653	146	9	ϕ	ϕ	NOUN
ejpam-2653	146	10	(	(	PUNCT
ejpam-2653	146	11	(	(	PUNCT
ejpam-2653	146	12	m1h	m1h	NOUN
ejpam-2653	146	13	−a	−a	NOUN
ejpam-2653	146	14	)	)	PUNCT
ejpam-2653	146	15	(	(	PUNCT
ejpam-2653	146	16	a−m1h	a−m1h	X
ejpam-2653	146	17	)	)	PUNCT
ejpam-2653	146	18	c	c	X
ejpam-2653	146	19	,	,	PUNCT
ejpam-2653	146	20	c	c	NOUN
ejpam-2653	146	21	)	)	PUNCT
ejpam-2653	146	22	≤	≤	NOUN
ejpam-2653	146	23	(	(	PUNCT
ejpam-2653	146	24	m1h	m1h	X
ejpam-2653	146	25	−	−	PROPN
ejpam-2653	146	26	ϕ	ϕ	PROPN
ejpam-2653	146	27	(	(	PUNCT
ejpam-2653	146	28	ac	ac	PROPN
ejpam-2653	146	29	,	,	PUNCT
ejpam-2653	146	30	c	c	NOUN
ejpam-2653	146	31	)	)	PUNCT
ejpam-2653	146	32	)	)	PUNCT
ejpam-2653	146	33	(	(	PUNCT
ejpam-2653	146	34	ϕ	ϕ	X
ejpam-2653	146	35	(	(	PUNCT
ejpam-2653	146	36	ac	ac	PROPN
ejpam-2653	146	37	,	,	PUNCT
ejpam-2653	146	38	c)−m1h	c)−m1h	NOUN
ejpam-2653	146	39	)	)	PUNCT
ejpam-2653	146	40	≤	≤	NOUN
ejpam-2653	146	41	(	(	PUNCT
ejpam-2653	146	42	m	m	VERB
ejpam-2653	146	43	−m)2	−m)2	NUM
ejpam-2653	146	44	4	4	NUM
ejpam-2653	146	45	1h	1h	NOUN
ejpam-2653	146	46	,	,	PUNCT
ejpam-2653	146	47	which	which	PRON
ejpam-2653	146	48	is	be	AUX
ejpam-2653	146	49	exactly	exactly	ADV
ejpam-2653	146	50	what	what	PRON
ejpam-2653	146	51	we	we	PRON
ejpam-2653	146	52	needed	need	VERB
ejpam-2653	146	53	to	to	PART
ejpam-2653	146	54	prove	prove	VERB
ejpam-2653	146	55	.	.	PUNCT
ejpam-2653	147	1	acknowledgements	acknowledgement	NOUN
ejpam-2653	147	2	the	the	DET
ejpam-2653	147	3	authors	author	NOUN
ejpam-2653	147	4	would	would	AUX
ejpam-2653	147	5	like	like	VERB
ejpam-2653	147	6	to	to	PART
ejpam-2653	147	7	express	express	VERB
ejpam-2653	147	8	their	their	PRON
ejpam-2653	147	9	thanks	thank	NOUN
ejpam-2653	147	10	to	to	ADP
ejpam-2653	147	11	the	the	DET
ejpam-2653	147	12	referees	referee	NOUN
ejpam-2653	147	13	for	for	ADP
ejpam-2653	147	14	their	their	PRON
ejpam-2653	147	15	valuable	valuable	ADJ
ejpam-2653	147	16	comments	comment	NOUN
ejpam-2653	147	17	and	and	CCONJ
ejpam-2653	147	18	suggestions	suggestion	NOUN
ejpam-2653	147	19	,	,	PUNCT
ejpam-2653	147	20	which	which	PRON
ejpam-2653	147	21	helped	help	VERB
ejpam-2653	147	22	to	to	PART
ejpam-2653	147	23	improve	improve	VERB
ejpam-2653	147	24	the	the	DET
ejpam-2653	147	25	paper	paper	NOUN
ejpam-2653	147	26	.	.	PUNCT
ejpam-2653	148	1	references	reference	NOUN
ejpam-2653	148	2	[	[	X
ejpam-2653	148	3	1	1	NUM
ejpam-2653	148	4	]	]	PUNCT
ejpam-2653	148	5	k.	k.	PROPN
ejpam-2653	148	6	fan	fan	PROPN
ejpam-2653	148	7	.	.	PUNCT
ejpam-2653	149	1	some	some	DET
ejpam-2653	149	2	matrix	matrix	NOUN
ejpam-2653	149	3	inequalities	inequality	NOUN
ejpam-2653	149	4	.	.	PUNCT
ejpam-2653	150	1	abhandlungen	abhandlungen	PROPN
ejpam-2653	150	2	aus	aus	PROPN
ejpam-2653	150	3	dem	dem	PROPN
ejpam-2653	150	4	mathematischen	mathematischen	PROPN
ejpam-2653	150	5	seminar	seminar	NOUN
ejpam-2653	150	6	der	der	NOUN
ejpam-2653	150	7	universität	universität	PROPN
ejpam-2653	150	8	hamburg	hamburg	PROPN
ejpam-2653	150	9	.	.	PUNCT
ejpam-2653	151	1	springer	springer	PROPN
ejpam-2653	151	2	berlin	berlin	PROPN
ejpam-2653	151	3	/	/	SYM
ejpam-2653	151	4	heidelberg	heidelberg	PROPN
ejpam-2653	151	5	,	,	PUNCT
ejpam-2653	151	6	29(3	29(3	NUM
ejpam-2653	151	7	)	)	PUNCT
ejpam-2653	151	8	,	,	PUNCT
ejpam-2653	151	9	185	185	NUM
ejpam-2653	151	10	-	-	SYM
ejpam-2653	151	11	196	196	NUM
ejpam-2653	151	12	.	.	PUNCT
ejpam-2653	151	13	1966	1966	NUM
ejpam-2653	151	14	.	.	PUNCT
ejpam-2653	152	1	[	[	X
ejpam-2653	152	2	2	2	X
ejpam-2653	152	3	]	]	PUNCT
ejpam-2653	152	4	t.	t.	PROPN
ejpam-2653	152	5	furuta	furuta	PROPN
ejpam-2653	152	6	.	.	PUNCT
ejpam-2653	153	1	extensions	extension	NOUN
ejpam-2653	153	2	of	of	ADP
ejpam-2653	153	3	hölder	hölder	NOUN
ejpam-2653	153	4	-	-	PUNCT
ejpam-2653	153	5	mccarthy	mccarthy	NOUN
ejpam-2653	153	6	and	and	CCONJ
ejpam-2653	153	7	kantorovich	kantorovich	PROPN
ejpam-2653	153	8	inequalities	inequality	NOUN
ejpam-2653	153	9	and	and	CCONJ
ejpam-2653	153	10	their	their	PRON
ejpam-2653	153	11	applications	application	NOUN
ejpam-2653	153	12	.	.	PUNCT
ejpam-2653	154	1	proc	proc	PROPN
ejpam-2653	154	2	.	.	PUNCT
ejpam-2653	155	1	japan	japan	PROPN
ejpam-2653	155	2	acad	acad	PROPN
ejpam-2653	155	3	.	.	PUNCT
ejpam-2653	156	1	ser	ser	PROPN
ejpam-2653	156	2	.	.	PUNCT
ejpam-2653	157	1	a	a	DET
ejpam-2653	157	2	math	math	NOUN
ejpam-2653	157	3	.	.	PUNCT
ejpam-2653	158	1	sci	sci	PROPN
ejpam-2653	158	2	,	,	PUNCT
ejpam-2653	158	3	73(3	73(3	NUM
ejpam-2653	158	4	)	)	PUNCT
ejpam-2653	158	5	,	,	PUNCT
ejpam-2653	158	6	38	38	NUM
ejpam-2653	158	7	-	-	SYM
ejpam-2653	158	8	41	41	NUM
ejpam-2653	158	9	.	.	PUNCT
ejpam-2653	158	10	1997	1997	NUM
ejpam-2653	158	11	.	.	PUNCT
ejpam-2653	159	1	[	[	X
ejpam-2653	159	2	3	3	X
ejpam-2653	159	3	]	]	PUNCT
ejpam-2653	159	4	t.	t.	PROPN
ejpam-2653	159	5	furuta	furuta	PROPN
ejpam-2653	159	6	,	,	PUNCT
ejpam-2653	159	7	j.	j.	PROPN
ejpam-2653	159	8	mićić	mićić	PROPN
ejpam-2653	159	9	,	,	PUNCT
ejpam-2653	159	10	j.e	j.e	PROPN
ejpam-2653	159	11	.	.	PROPN
ejpam-2653	159	12	pečarić	pečarić	PROPN
ejpam-2653	159	13	,	,	PUNCT
ejpam-2653	159	14	and	and	CCONJ
ejpam-2653	159	15	y.	y.	PROPN
ejpam-2653	159	16	seo	seo	PROPN
ejpam-2653	159	17	.	.	PUNCT
ejpam-2653	160	1	mond	mond	NOUN
ejpam-2653	160	2	-	-	PUNCT
ejpam-2653	160	3	pečarić	pečarić	NOUN
ejpam-2653	160	4	method	method	NOUN
ejpam-2653	160	5	in	in	ADP
ejpam-2653	160	6	operator	operator	NOUN
ejpam-2653	160	7	inequalities	inequality	NOUN
ejpam-2653	160	8	.	.	PUNCT
ejpam-2653	161	1	element	element	NOUN
ejpam-2653	161	2	,	,	PUNCT
ejpam-2653	161	3	zegreb	zegreb	PROPN
ejpam-2653	161	4	,	,	PUNCT
ejpam-2653	161	5	2005	2005	NUM
ejpam-2653	161	6	.	.	PUNCT
ejpam-2653	162	1	[	[	X
ejpam-2653	162	2	4	4	NUM
ejpam-2653	162	3	]	]	X
ejpam-2653	162	4	l.v	l.v	PROPN
ejpam-2653	162	5	.	.	PROPN
ejpam-2653	162	6	kantorovich	kantorovich	PROPN
ejpam-2653	162	7	.	.	PUNCT
ejpam-2653	163	1	functional	functional	ADJ
ejpam-2653	163	2	analysis	analysis	NOUN
ejpam-2653	163	3	and	and	CCONJ
ejpam-2653	163	4	applied	apply	VERB
ejpam-2653	163	5	mathematics	mathematic	NOUN
ejpam-2653	163	6	.	.	PUNCT
ejpam-2653	164	1	uspekhi	uspekhi	PROPN
ejpam-2653	164	2	mat	mat	PROPN
ejpam-2653	164	3	.	.	PUNCT
ejpam-2653	164	4	nauk	nauk	PROPN
ejpam-2653	164	5	,	,	PUNCT
ejpam-2653	164	6	3(6	3(6	NUM
ejpam-2653	164	7	)	)	PUNCT
ejpam-2653	164	8	,	,	PUNCT
ejpam-2653	164	9	89	89	NUM
ejpam-2653	164	10	-	-	SYM
ejpam-2653	164	11	185	185	NUM
ejpam-2653	164	12	.	.	PUNCT
ejpam-2653	164	13	1948	1948	NUM
ejpam-2653	164	14	.	.	PUNCT
ejpam-2653	165	1	references	reference	NOUN
ejpam-2653	165	2	237	237	NUM
ejpam-2653	166	1	[	[	X
ejpam-2653	166	2	5	5	NUM
ejpam-2653	166	3	]	]	PUNCT
ejpam-2653	166	4	z.	z.	PROPN
ejpam-2653	166	5	liu	liu	PROPN
ejpam-2653	166	6	,	,	PUNCT
ejpam-2653	166	7	k.wang	k.wang	PROPN
ejpam-2653	166	8	,	,	PUNCT
ejpam-2653	166	9	and	and	CCONJ
ejpam-2653	166	10	c.	c.	PROPN
ejpam-2653	166	11	xu	xu	PROPN
ejpam-2653	166	12	.	.	PUNCT
ejpam-2653	167	1	a	a	DET
ejpam-2653	167	2	note	note	NOUN
ejpam-2653	167	3	on	on	ADP
ejpam-2653	167	4	kantorovich	kantorovich	PROPN
ejpam-2653	167	5	inequality	inequality	NOUN
ejpam-2653	167	6	for	for	ADP
ejpam-2653	167	7	hermite	hermite	ADJ
ejpam-2653	167	8	matrices	matrix	NOUN
ejpam-2653	167	9	.	.	PUNCT
ejpam-2653	168	1	j.	j.	PROPN
ejpam-2653	168	2	inequal	inequal	PROPN
ejpam-2653	168	3	appl	appl	PROPN
ejpam-2653	168	4	,	,	PUNCT
ejpam-2653	168	5	artical	artical	PROPN
ejpam-2653	168	6	i	i	PROPN
ejpam-2653	168	7	d	d	PROPN
ejpam-2653	168	8	245767	245767	NUM
ejpam-2653	168	9	,	,	PUNCT
ejpam-2653	168	10	1	1	NUM
ejpam-2653	168	11	-	-	SYM
ejpam-2653	168	12	6	6	NUM
ejpam-2653	168	13	.	.	NOUN
ejpam-2653	168	14	2011	2011	NUM
ejpam-2653	168	15	.	.	PUNCT
ejpam-2653	169	1	[	[	X
ejpam-2653	169	2	6	6	NUM
ejpam-2653	169	3	]	]	X
ejpam-2653	169	4	a.w	a.w	PROPN
ejpam-2653	169	5	.	.	PROPN
ejpam-2653	169	6	marshall	marshall	PROPN
ejpam-2653	169	7	and	and	CCONJ
ejpam-2653	169	8	i.	i.	PROPN
ejpam-2653	169	9	olkin	olkin	PROPN
ejpam-2653	169	10	.	.	PUNCT
ejpam-2653	170	1	matrix	matrix	NOUN
ejpam-2653	170	2	versions	version	NOUN
ejpam-2653	170	3	of	of	ADP
ejpam-2653	170	4	the	the	DET
ejpam-2653	170	5	cauchy	cauchy	NOUN
ejpam-2653	170	6	and	and	CCONJ
ejpam-2653	170	7	kantorovich	kantorovich	PROPN
ejpam-2653	170	8	inequalities	inequality	NOUN
ejpam-2653	170	9	.	.	PUNCT
ejpam-2653	171	1	aequationes	aequationes	PROPN
ejpam-2653	171	2	math	math	PROPN
ejpam-2653	171	3	,	,	PUNCT
ejpam-2653	171	4	40(1	40(1	NOUN
ejpam-2653	171	5	)	)	PUNCT
ejpam-2653	171	6	,	,	PUNCT
ejpam-2653	171	7	89	89	NUM
ejpam-2653	171	8	-	-	SYM
ejpam-2653	171	9	93	93	NUM
ejpam-2653	171	10	.	.	PUNCT
ejpam-2653	171	11	1990	1990	NUM
ejpam-2653	171	12	.	.	PUNCT