id	sid	tid	token	lemma	pos
bibechana-7555	1	1	microsoft	microsoft	PROPN
bibechana-7555	1	2	word	word	PROPN
bibechana-7555	1	3	forouzanfar	forouzanfar	ADV
bibechana-7555	1	4	et	et	PROPN
bibechana-7555	1	5	al_46	al_46	PROPN
bibechana-7555	1	6	-	-	PUNCT
bibechana-7555	1	7	48_.doc	48_.doc	NUM
bibechana-7555	1	8	a.m.	a.m.	NOUN
bibechana-7555	1	9	forouzanfar	forouzanfar	ADV
bibechana-7555	1	10	et	et	PROPN
bibechana-7555	1	11	al	al	PROPN
bibechana-7555	1	12	/	/	PUNCT
bibechana-7555	1	13	bibechana	bibechana	PROPN
bibechana-7555	1	14	10	10	NUM
bibechana-7555	1	15	(	(	PUNCT
bibechana-7555	1	16	2014	2014	NUM
bibechana-7555	1	17	)	)	PUNCT
bibechana-7555	1	18	31	31	NUM
bibechana-7555	1	19	-	-	SYM
bibechana-7555	1	20	33	33	NUM
bibechana-7555	1	21	:	:	PUNCT
bibechana-7555	1	22	bmhss	bmhss	PROPN
bibechana-7555	1	23	,	,	PUNCT
bibechana-7555	1	24	p.31	p.31	X
bibechana-7555	1	25	(	(	PUNCT
bibechana-7555	1	26	online	online	ADJ
bibechana-7555	1	27	publication	publication	NOUN
bibechana-7555	1	28	:	:	PUNCT
bibechana-7555	1	29	dec	dec	PROPN
bibechana-7555	1	30	.	.	PROPN
bibechana-7555	1	31	,	,	PUNCT
bibechana-7555	1	32	2013	2013	NUM
bibechana-7555	1	33	)	)	PUNCT
bibechana-7555	1	34	bibechana	bibechana	NOUN
bibechana-7555	1	35	a	a	DET
bibechana-7555	1	36	multidisciplinary	multidisciplinary	ADJ
bibechana-7555	1	37	journal	journal	NOUN
bibechana-7555	1	38	of	of	ADP
bibechana-7555	1	39	science	science	NOUN
bibechana-7555	1	40	,	,	PUNCT
bibechana-7555	1	41	technology	technology	NOUN
bibechana-7555	1	42	and	and	CCONJ
bibechana-7555	1	43	mathematics	mathematic	NOUN
bibechana-7555	1	44	issn	issn	VERB
bibechana-7555	1	45	2091	2091	NUM
bibechana-7555	1	46	-	-	SYM
bibechana-7555	1	47	0762	0762	NUM
bibechana-7555	1	48	(	(	PUNCT
bibechana-7555	1	49	online	online	ADJ
bibechana-7555	1	50	)	)	PUNCT
bibechana-7555	1	51	journal	journal	NOUN
bibechana-7555	1	52	homepage	homepage	NOUN
bibechana-7555	1	53	:	:	PUNCT
bibechana-7555	1	54	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-7555	1	55	uniformly	uniformly	ADV
bibechana-7555	1	56	invariant	invariant	VERB
bibechana-7555	1	57	normed	normed	ADJ
bibechana-7555	1	58	spaces	space	NOUN
bibechana-7555	1	59	a.m.	a.m.	PROPN
bibechana-7555	2	1	forouzanfar	forouzanfar	ADV
bibechana-7555	2	2	1	1	NUM
bibechana-7555	2	3	,	,	PUNCT
bibechana-7555	2	4	s.	s.	PROPN
bibechana-7555	2	5	khorshidvandpour	khorshidvandpour	PROPN
bibechana-7555	3	1	2	2	NUM
bibechana-7555	3	2	*	*	PUNCT
bibechana-7555	3	3	and	and	CCONJ
bibechana-7555	3	4	z.	z.	PROPN
bibechana-7555	3	5	bahmani	bahmani	X
bibechana-7555	3	6	3	3	NUM
bibechana-7555	3	7	1	1	NUM
bibechana-7555	3	8	faculty	faculty	NOUN
bibechana-7555	3	9	of	of	ADP
bibechana-7555	3	10	mathematical	mathematical	ADJ
bibechana-7555	3	11	sciences	science	NOUN
bibechana-7555	3	12	and	and	CCONJ
bibechana-7555	3	13	computer	computer	NOUN
bibechana-7555	3	14	,	,	PUNCT
bibechana-7555	3	15	shahid	shahid	PROPN
bibechana-7555	3	16	chamran	chamran	PROPN
bibechana-7555	3	17	university	university	PROPN
bibechana-7555	3	18	,	,	PUNCT
bibechana-7555	3	19	ahvaz	ahvaz	PROPN
bibechana-7555	3	20	,	,	PUNCT
bibechana-7555	3	21	iran	iran	PROPN
bibechana-7555	3	22	2faculty	2faculty	NUM
bibechana-7555	3	23	of	of	ADP
bibechana-7555	3	24	mathematical	mathematical	ADJ
bibechana-7555	3	25	sciences	science	NOUN
bibechana-7555	3	26	and	and	CCONJ
bibechana-7555	3	27	computer	computer	NOUN
bibechana-7555	3	28	,	,	PUNCT
bibechana-7555	3	29	shahid	shahid	PROPN
bibechana-7555	3	30	chamran	chamran	PROPN
bibechana-7555	3	31	university	university	PROPN
bibechana-7555	3	32	,	,	PUNCT
bibechana-7555	3	33	ahvaz	ahvaz	PROPN
bibechana-7555	3	34	,	,	PUNCT
bibechana-7555	3	35	iran	iran	PROPN
bibechana-7555	3	36	3	3	NUM
bibechana-7555	3	37	department	department	NOUN
bibechana-7555	3	38	of	of	ADP
bibechana-7555	3	39	mathematics	mathematic	NOUN
bibechana-7555	3	40	,	,	PUNCT
bibechana-7555	3	41	islamic	islamic	PROPN
bibechana-7555	3	42	azad	azad	PROPN
bibechana-7555	3	43	university	university	PROPN
bibechana-7555	3	44	,	,	PUNCT
bibechana-7555	3	45	genaveh	genaveh	NOUN
bibechana-7555	3	46	branch	branch	NOUN
bibechana-7555	3	47	,	,	PUNCT
bibechana-7555	3	48	genaveh	genaveh	NOUN
bibechana-7555	3	49	,	,	PUNCT
bibechana-7555	3	50	iran	iran	PROPN
bibechana-7555	3	51	*	*	NOUN
bibechana-7555	3	52	email	email	NOUN
bibechana-7555	3	53	:	:	PUNCT
bibechana-7555	3	54	sajad_khorshidvand@yahoo.com	sajad_khorshidvand@yahoo.com	X
bibechana-7555	3	55	article	article	NOUN
bibechana-7555	3	56	history	history	NOUN
bibechana-7555	3	57	:	:	PUNCT
bibechana-7555	3	58	received	receive	VERB
bibechana-7555	3	59	4	4	NUM
bibechana-7555	3	60	february	february	NOUN
bibechana-7555	3	61	,	,	PUNCT
bibechana-7555	3	62	2013	2013	NUM
bibechana-7555	3	63	;	;	PUNCT
bibechana-7555	3	64	accepted	accept	VERB
bibechana-7555	3	65	27	27	NUM
bibechana-7555	3	66	september	september	PROPN
bibechana-7555	3	67	,	,	PUNCT
bibechana-7555	3	68	2013	2013	NUM
bibechana-7555	3	69	abstract	abstract	NOUN
bibechana-7555	3	70	in	in	ADP
bibechana-7555	3	71	this	this	DET
bibechana-7555	3	72	work	work	NOUN
bibechana-7555	3	73	,	,	PUNCT
bibechana-7555	3	74	we	we	PRON
bibechana-7555	3	75	introduce	introduce	VERB
bibechana-7555	3	76	the	the	DET
bibechana-7555	3	77	concepts	concept	NOUN
bibechana-7555	3	78	of	of	ADP
bibechana-7555	3	79	compactly	compactly	ADV
bibechana-7555	3	80	invariant	invariant	ADJ
bibechana-7555	3	81	and	and	CCONJ
bibechana-7555	3	82	uniformly	uniformly	ADV
bibechana-7555	3	83	invariant	invariant	ADJ
bibechana-7555	3	84	.	.	PUNCT
bibechana-7555	4	1	also	also	ADV
bibechana-7555	4	2	we	we	PRON
bibechana-7555	4	3	define	define	VERB
bibechana-7555	4	4	sometimes	sometimes	ADV
bibechana-7555	4	5	c	c	NOUN
bibechana-7555	4	6	-	-	PUNCT
bibechana-7555	4	7	invariant	invariant	ADJ
bibechana-7555	4	8	closed	closed	ADJ
bibechana-7555	4	9	subspaces	subspace	NOUN
bibechana-7555	4	10	and	and	CCONJ
bibechana-7555	4	11	then	then	ADV
bibechana-7555	4	12	prove	prove	VERB
bibechana-7555	4	13	every	every	DET
bibechana-7555	4	14	m	m	ADJ
bibechana-7555	4	15	-	-	ADJ
bibechana-7555	4	16	dimensional	dimensional	ADJ
bibechana-7555	4	17	normed	normed	ADJ
bibechana-7555	4	18	space	space	NOUN
bibechana-7555	4	19	with	with	ADP
bibechana-7555	4	20	has	have	VERB
bibechana-7555	4	21	a	a	DET
bibechana-7555	4	22	nontrivial	nontrivial	NOUN
bibechana-7555	4	23	sometimes	sometimes	ADV
bibechana-7555	4	24	c	c	NOUN
bibechana-7555	4	25	-	-	PUNCT
bibechana-7555	4	26	invariant	invariant	ADJ
bibechana-7555	4	27	closed	closed	ADJ
bibechana-7555	4	28	subspace	subspace	NOUN
bibechana-7555	4	29	.	.	PUNCT
bibechana-7555	5	1	sequentially	sequentially	ADV
bibechana-7555	5	2	c	c	X
bibechana-7555	5	3	-	-	PUNCT
bibechana-7555	5	4	invariant	invariant	ADJ
bibechana-7555	5	5	closed	closed	ADJ
bibechana-7555	5	6	subspaces	subspace	NOUN
bibechana-7555	5	7	are	be	AUX
bibechana-7555	5	8	also	also	ADV
bibechana-7555	5	9	introduced	introduce	VERB
bibechana-7555	5	10	.	.	PUNCT
bibechana-7555	6	1	next	next	ADV
bibechana-7555	6	2	,	,	PUNCT
bibechana-7555	6	3	an	an	DET
bibechana-7555	6	4	open	open	ADJ
bibechana-7555	6	5	problem	problem	NOUN
bibechana-7555	6	6	on	on	ADP
bibechana-7555	6	7	the	the	DET
bibechana-7555	6	8	connection	connection	NOUN
bibechana-7555	6	9	between	between	ADP
bibechana-7555	6	10	compactly	compactly	ADV
bibechana-7555	6	11	invariant	invariant	ADJ
bibechana-7555	6	12	and	and	CCONJ
bibechana-7555	6	13	uniformly	uniformly	ADV
bibechana-7555	6	14	invariant	invariant	ADJ
bibechana-7555	6	15	normed	normed	ADJ
bibechana-7555	6	16	spaces	space	NOUN
bibechana-7555	6	17	has	have	AUX
bibechana-7555	6	18	been	be	AUX
bibechana-7555	6	19	posed	pose	VERB
bibechana-7555	6	20	.	.	PUNCT
bibechana-7555	7	1	finally	finally	ADV
bibechana-7555	7	2	,	,	PUNCT
bibechana-7555	7	3	we	we	PRON
bibechana-7555	7	4	prove	prove	VERB
bibechana-7555	7	5	a	a	DET
bibechana-7555	7	6	theorem	theorem	NOUN
bibechana-7555	7	7	on	on	ADP
bibechana-7555	7	8	the	the	DET
bibechana-7555	7	9	existence	existence	NOUN
bibechana-7555	7	10	of	of	ADP
bibechana-7555	7	11	a	a	DET
bibechana-7555	7	12	positive	positive	ADJ
bibechana-7555	7	13	operator	operator	NOUN
bibechana-7555	7	14	on	on	ADP
bibechana-7555	7	15	a	a	DET
bibechana-7555	7	16	strict	strict	ADJ
bibechana-7555	7	17	uniformly	uniformly	ADV
bibechana-7555	7	18	invariant	invariant	ADJ
bibechana-7555	7	19	hilbert	hilbert	NOUN
bibechana-7555	7	20	space	space	NOUN
bibechana-7555	7	21	.	.	PUNCT
bibechana-7555	8	1	keywords	keyword	NOUN
bibechana-7555	8	2	:	:	PUNCT
bibechana-7555	8	3	compactly	compactly	ADV
bibechana-7555	8	4	invariant	invariant	VERB
bibechana-7555	8	5	normed	normed	ADJ
bibechana-7555	8	6	space	space	NOUN
bibechana-7555	8	7	,	,	PUNCT
bibechana-7555	8	8	uniformly	uniformly	ADV
bibechana-7555	8	9	invariant	invariant	VERB
bibechana-7555	8	10	normed	normed	ADJ
bibechana-7555	8	11	space	space	NOUN
bibechana-7555	8	12	,	,	PUNCT
bibechana-7555	8	13	unitary	unitary	ADJ
bibechana-7555	8	14	space	space	NOUN
bibechana-7555	8	15	,	,	PUNCT
bibechana-7555	8	16	positive	positive	ADJ
bibechana-7555	8	17	operator	operator	NOUN
bibechana-7555	8	18	.	.	PUNCT
bibechana-7555	9	1	1	1	X
bibechana-7555	9	2	.	.	X
bibechana-7555	9	3	introduction	introduction	NOUN
bibechana-7555	9	4	the	the	DET
bibechana-7555	9	5	subject	subject	NOUN
bibechana-7555	9	6	of	of	ADP
bibechana-7555	9	7	extension	extension	NOUN
bibechana-7555	9	8	of	of	ADP
bibechana-7555	9	9	linear	linear	PROPN
bibechana-7555	9	10	operators	operator	NOUN
bibechana-7555	9	11	is	be	AUX
bibechana-7555	9	12	one	one	NUM
bibechana-7555	9	13	of	of	ADP
bibechana-7555	9	14	the	the	DET
bibechana-7555	9	15	important	important	ADJ
bibechana-7555	9	16	subjects	subject	NOUN
bibechana-7555	9	17	in	in	ADP
bibechana-7555	9	18	functional	functional	ADJ
bibechana-7555	9	19	analysis	analysis	NOUN
bibechana-7555	9	20	.	.	PUNCT
bibechana-7555	10	1	invariant	invariant	ADJ
bibechana-7555	10	2	subspace	subspace	NOUN
bibechana-7555	10	3	problem	problem	NOUN
bibechana-7555	10	4	is	be	AUX
bibechana-7555	10	5	also	also	ADV
bibechana-7555	10	6	.	.	PUNCT
bibechana-7555	11	1	bandyopadeyay	bandyopadeyay	PROPN
bibechana-7555	11	2	and	and	CCONJ
bibechana-7555	11	3	roy	roy	PROPN
bibechana-7555	12	1	[	[	X
bibechana-7555	12	2	1	1	NUM
bibechana-7555	12	3	]	]	PUNCT
bibechana-7555	12	4	have	have	AUX
bibechana-7555	12	5	studied	study	VERB
bibechana-7555	12	6	uniqueness	uniqueness	NOUN
bibechana-7555	12	7	of	of	ADP
bibechana-7555	12	8	invariant	invariant	PROPN
bibechana-7555	12	9	hahn	hahn	PROPN
bibechana-7555	12	10	-	-	PUNCT
bibechana-7555	12	11	banach	banach	NOUN
bibechana-7555	12	12	extensions	extension	NOUN
bibechana-7555	12	13	.	.	PUNCT
bibechana-7555	13	1	author	author	NOUN
bibechana-7555	13	2	in	in	ADP
bibechana-7555	13	3	[	[	X
bibechana-7555	13	4	2	2	NUM
bibechana-7555	13	5	]	]	PUNCT
bibechana-7555	13	6	has	have	AUX
bibechana-7555	13	7	studied	study	VERB
bibechana-7555	13	8	invariant	invariant	ADJ
bibechana-7555	13	9	subspace	subspace	NOUN
bibechana-7555	13	10	problem	problem	NOUN
bibechana-7555	13	11	for	for	ADP
bibechana-7555	13	12	banach	banach	NOUN
bibechana-7555	13	13	spaces	space	NOUN
bibechana-7555	13	14	,	,	PUNCT
bibechana-7555	13	15	in	in	ADP
bibechana-7555	13	16	[	[	X
bibechana-7555	13	17	3	3	NUM
bibechana-7555	13	18	,	,	PUNCT
bibechana-7555	13	19	4	4	NUM
bibechana-7555	13	20	]	]	ADJ
bibechana-7555	13	21	extensions	extension	NOUN
bibechana-7555	13	22	of	of	ADP
bibechana-7555	13	23	positive	positive	ADJ
bibechana-7555	13	24	operators	operator	NOUN
bibechana-7555	13	25	has	have	AUX
bibechana-7555	13	26	been	be	AUX
bibechana-7555	13	27	worked	work	VERB
bibechana-7555	13	28	.	.	PUNCT
bibechana-7555	14	1	saccoman	saccoman	NOUN
bibechana-7555	15	1	[	[	X
bibechana-7555	15	2	5	5	NUM
bibechana-7555	15	3	]	]	PUNCT
bibechana-7555	15	4	has	have	AUX
bibechana-7555	15	5	given	give	VERB
bibechana-7555	15	6	a	a	DET
bibechana-7555	15	7	necessary	necessary	ADJ
bibechana-7555	15	8	and	and	CCONJ
bibechana-7555	15	9	sufficient	sufficient	ADJ
bibechana-7555	15	10	condition	condition	NOUN
bibechana-7555	15	11	for	for	ADP
bibechana-7555	15	12	extension	extension	NOUN
bibechana-7555	15	13	of	of	ADP
bibechana-7555	15	14	a	a	DET
bibechana-7555	15	15	linear	linear	ADJ
bibechana-7555	15	16	operator	operator	NOUN
bibechana-7555	15	17	between	between	ADP
bibechana-7555	15	18	banach	banach	NOUN
bibechana-7555	15	19	spaces	space	NOUN
bibechana-7555	15	20	.	.	PUNCT
bibechana-7555	16	1	karapınar	karapınar	PROPN
bibechana-7555	17	1	[	[	X
bibechana-7555	17	2	6	6	NUM
bibechana-7555	17	3	]	]	PUNCT
bibechana-7555	17	4	,	,	PUNCT
bibechana-7555	17	5	has	have	AUX
bibechana-7555	17	6	used	use	VERB
bibechana-7555	17	7	of	of	ADP
bibechana-7555	17	8	invariants	invariant	NOUN
bibechana-7555	17	9	to	to	PART
bibechana-7555	17	10	consider	consider	VERB
bibechana-7555	17	11	the	the	DET
bibechana-7555	17	12	problem	problem	NOUN
bibechana-7555	17	13	of	of	ADP
bibechana-7555	17	14	isomorphic	isomorphic	ADJ
bibechana-7555	17	15	classification	classification	NOUN
bibechana-7555	17	16	of	of	ADP
bibechana-7555	17	17	pairs	pair	NOUN
bibechana-7555	17	18	of	of	ADP
bibechana-7555	17	19	-köthe	-köthe	ADJ
bibechana-7555	17	20	spaces	space	NOUN
bibechana-7555	17	21	.	.	PUNCT
bibechana-7555	18	1	in	in	ADP
bibechana-7555	18	2	this	this	DET
bibechana-7555	18	3	work	work	NOUN
bibechana-7555	18	4	,	,	PUNCT
bibechana-7555	18	5	we	we	PRON
bibechana-7555	18	6	introduce	introduce	VERB
bibechana-7555	18	7	the	the	DET
bibechana-7555	18	8	new	new	ADJ
bibechana-7555	18	9	concepts	concept	NOUN
bibechana-7555	18	10	"	"	PUNCT
bibechana-7555	18	11	compactly	compactly	ADV
bibechana-7555	18	12	invariant	invariant	ADJ
bibechana-7555	18	13	and	and	CCONJ
bibechana-7555	18	14	uniformly	uniformly	ADV
bibechana-7555	18	15	invariant	invariant	ADJ
bibechana-7555	18	16	normed	normed	ADJ
bibechana-7555	18	17	spaces	space	NOUN
bibechana-7555	18	18	"	"	PUNCT
bibechana-7555	18	19	to	to	PART
bibechana-7555	18	20	prove	prove	VERB
bibechana-7555	18	21	a	a	DET
bibechana-7555	18	22	theorem	theorem	NOUN
bibechana-7555	18	23	on	on	ADP
bibechana-7555	18	24	the	the	DET
bibechana-7555	18	25	existence	existence	NOUN
bibechana-7555	18	26	of	of	ADP
bibechana-7555	18	27	a	a	DET
bibechana-7555	18	28	positive	positive	ADJ
bibechana-7555	18	29	operator	operator	NOUN
bibechana-7555	18	30	on	on	ADP
bibechana-7555	18	31	a	a	DET
bibechana-7555	18	32	strict	strict	ADJ
bibechana-7555	18	33	uniformly	uniformly	ADV
bibechana-7555	18	34	invariant	invariant	ADJ
bibechana-7555	18	35	hilbert	hilbert	NOUN
bibechana-7555	18	36	space	space	NOUN
bibechana-7555	18	37	.	.	PUNCT
bibechana-7555	19	1	first	first	ADV
bibechana-7555	19	2	of	of	ADP
bibechana-7555	19	3	all	all	PRON
bibechana-7555	19	4	,	,	PUNCT
bibechana-7555	19	5	we	we	PRON
bibechana-7555	19	6	have	have	VERB
bibechana-7555	19	7	the	the	DET
bibechana-7555	19	8	following	follow	VERB
bibechana-7555	19	9	definitions	definition	NOUN
bibechana-7555	19	10	and	and	CCONJ
bibechana-7555	19	11	results	result	NOUN
bibechana-7555	19	12	.	.	PUNCT
bibechana-7555	20	1	definition	definition	NOUN
bibechana-7555	20	2	1.1	1.1	NUM
bibechana-7555	21	1	[	[	X
bibechana-7555	21	2	7	7	NUM
bibechana-7555	21	3	]	]	PUNCT
bibechana-7555	21	4	:	:	PUNCT
bibechana-7555	21	5	let	let	VERB
bibechana-7555	21	6	x	x	PRON
bibechana-7555	21	7	and	and	CCONJ
bibechana-7555	21	8	y	y	PROPN
bibechana-7555	21	9	be	be	AUX
bibechana-7555	21	10	normed	normed	ADJ
bibechana-7555	21	11	spaces	space	NOUN
bibechana-7555	21	12	and	and	CCONJ
bibechana-7555	21	13	t	t	PROPN
bibechana-7555	21	14	:	:	PUNCT
bibechana-7555	21	15	x	x	X
bibechana-7555	21	16	a	a	DET
bibechana-7555	21	17	linear	linear	ADJ
bibechana-7555	21	18	operator	operator	NOUN
bibechana-7555	21	19	.	.	PUNCT
bibechana-7555	22	1	t	t	PROPN
bibechana-7555	22	2	is	be	AUX
bibechana-7555	22	3	called	call	VERB
bibechana-7555	22	4	to	to	PART
bibechana-7555	22	5	be	be	AUX
bibechana-7555	22	6	a	a	DET
bibechana-7555	22	7	compact	compact	ADJ
bibechana-7555	22	8	operator	operator	NOUN
bibechana-7555	22	9	if	if	SCONJ
bibechana-7555	22	10	is	be	AUX
bibechana-7555	22	11	compact	compact	ADJ
bibechana-7555	22	12	,	,	PUNCT
bibechana-7555	22	13	for	for	ADP
bibechana-7555	22	14	every	every	DET
bibechana-7555	22	15	bounded	bound	VERB
bibechana-7555	22	16	subset	subset	NOUN
bibechana-7555	22	17	m	m	PROPN
bibechana-7555	22	18	of	of	ADP
bibechana-7555	22	19	x.	x.	PROPN
bibechana-7555	22	20	lemma	lemma	PROPN
bibechana-7555	22	21	1.1	1.1	NUM
bibechana-7555	23	1	[	[	X
bibechana-7555	23	2	7	7	NUM
bibechana-7555	23	3	]	]	PUNCT
bibechana-7555	23	4	:	:	PUNCT
bibechana-7555	23	5	let	let	VERB
bibechana-7555	23	6	x	x	PRON
bibechana-7555	23	7	be	be	AUX
bibechana-7555	23	8	a	a	DET
bibechana-7555	23	9	normed	normed	ADJ
bibechana-7555	23	10	space	space	NOUN
bibechana-7555	23	11	.	.	PUNCT
bibechana-7555	24	1	if	if	SCONJ
bibechana-7555	24	2	,	,	PUNCT
bibechana-7555	24	3	the	the	DET
bibechana-7555	24	4	identity	identity	NOUN
bibechana-7555	24	5	operator	operator	NOUN
bibechana-7555	24	6	is	be	AUX
bibechana-7555	24	7	not	not	PART
bibechana-7555	24	8	compact	compact	ADJ
bibechana-7555	24	9	.	.	PUNCT
bibechana-7555	25	1	definition	definition	NOUN
bibechana-7555	25	2	1.2	1.2	NUM
bibechana-7555	25	3	:	:	PUNCT
bibechana-7555	25	4	let	let	VERB
bibechana-7555	25	5	t	t	NOUN
bibechana-7555	25	6	be	be	AUX
bibechana-7555	25	7	a	a	DET
bibechana-7555	25	8	linear	linear	ADJ
bibechana-7555	25	9	operator	operator	NOUN
bibechana-7555	25	10	on	on	ADP
bibechana-7555	25	11	a	a	DET
bibechana-7555	25	12	vector	vector	NOUN
bibechana-7555	25	13	space	space	NOUN
bibechana-7555	25	14	x.	x.	NOUN
bibechana-7555	26	1	if	if	SCONJ
bibechana-7555	26	2	there	there	PRON
bibechana-7555	26	3	is	be	VERB
bibechana-7555	26	4	a	a	DET
bibechana-7555	26	5	subspace	subspace	NOUN
bibechana-7555	26	6	y	y	PROPN
bibechana-7555	26	7	of	of	ADP
bibechana-7555	26	8	x	x	SYM
bibechana-7555	26	9	such	such	ADJ
bibechana-7555	26	10	that	that	SCONJ
bibechana-7555	26	11	then	then	ADV
bibechana-7555	26	12	y	y	PROPN
bibechana-7555	26	13	is	be	AUX
bibechana-7555	26	14	called	call	VERB
bibechana-7555	26	15	an	an	DET
bibechana-7555	26	16	invariant	invariant	ADJ
bibechana-7555	26	17	subspace	subspace	NOUN
bibechana-7555	26	18	of	of	ADP
bibechana-7555	26	19	t.	t.	PROPN
bibechana-7555	26	20	throughout	throughout	ADP
bibechana-7555	26	21	this	this	DET
bibechana-7555	26	22	paper	paper	NOUN
bibechana-7555	26	23	,	,	PUNCT
bibechana-7555	26	24	denotes	denote	VERB
bibechana-7555	26	25	the	the	DET
bibechana-7555	26	26	normed	normed	ADJ
bibechana-7555	26	27	space	space	NOUN
bibechana-7555	26	28	of	of	ADP
bibechana-7555	26	29	all	all	DET
bibechana-7555	26	30	bounded	bound	VERB
bibechana-7555	26	31	linear	linear	PROPN
bibechana-7555	26	32	operators	operator	NOUN
bibechana-7555	26	33	on	on	ADP
bibechana-7555	26	34	a	a	DET
bibechana-7555	26	35	normed	normed	ADJ
bibechana-7555	26	36	space	space	NOUN
bibechana-7555	26	37	x.	x.	NOUN
bibechana-7555	26	38	further	far	ADV
bibechana-7555	26	39	,	,	PUNCT
bibechana-7555	26	40	by	by	ADP
bibechana-7555	26	41	we	we	PRON
bibechana-7555	26	42	mean	mean	VERB
bibechana-7555	26	43	that	that	SCONJ
bibechana-7555	26	44	the	the	DET
bibechana-7555	26	45	normed	normed	ADJ
bibechana-7555	26	46	space	space	NOUN
bibechana-7555	26	47	of	of	ADP
bibechana-7555	26	48	all	all	DET
bibechana-7555	26	49	compact	compact	ADJ
bibechana-7555	26	50	operators	operator	NOUN
bibechana-7555	26	51	on	on	ADP
bibechana-7555	26	52	x.	x.	NOUN
bibechana-7555	26	53	clearly	clearly	ADV
bibechana-7555	26	54	,	,	PUNCT
bibechana-7555	26	55	is	be	AUX
bibechana-7555	26	56	a	a	DET
bibechana-7555	26	57	closed	closed	ADJ
bibechana-7555	26	58	subspace	subspace	NOUN
bibechana-7555	26	59	of	of	ADP
bibechana-7555	26	60	.	.	PUNCT
bibechana-7555	27	1	a.m.	a.m.	PROPN
bibechana-7555	28	1	forouzanfar	forouzanfar	ADV
bibechana-7555	28	2	et	et	PROPN
bibechana-7555	28	3	al	al	PROPN
bibechana-7555	28	4	/	/	PUNCT
bibechana-7555	28	5	bibechana	bibechana	PROPN
bibechana-7555	28	6	10	10	NUM
bibechana-7555	28	7	(	(	PUNCT
bibechana-7555	28	8	2014	2014	NUM
bibechana-7555	28	9	)	)	PUNCT
bibechana-7555	28	10	31	31	NUM
bibechana-7555	28	11	-	-	SYM
bibechana-7555	28	12	33	33	NUM
bibechana-7555	28	13	:	:	PUNCT
bibechana-7555	28	14	bmhss	bmhss	PROPN
bibechana-7555	28	15	,	,	PUNCT
bibechana-7555	28	16	p.32	p.32	X
bibechana-7555	28	17	(	(	PUNCT
bibechana-7555	28	18	online	online	ADJ
bibechana-7555	28	19	publication	publication	NOUN
bibechana-7555	28	20	:	:	PUNCT
bibechana-7555	29	1	dec	dec	PROPN
bibechana-7555	29	2	.	.	PROPN
bibechana-7555	29	3	,	,	PUNCT
bibechana-7555	29	4	2013	2013	NUM
bibechana-7555	29	5	)	)	PUNCT
bibechana-7555	29	6	definition	definition	NOUN
bibechana-7555	29	7	1.3	1.3	NUM
bibechana-7555	30	1	[	[	X
bibechana-7555	30	2	5	5	NUM
bibechana-7555	30	3	]	]	PUNCT
bibechana-7555	30	4	:	:	PUNCT
bibechana-7555	30	5	a	a	DET
bibechana-7555	30	6	normed	normed	ADJ
bibechana-7555	30	7	linear	linear	ADJ
bibechana-7555	30	8	space	space	NOUN
bibechana-7555	30	9	x	x	PUNCT
bibechana-7555	30	10	is	be	AUX
bibechana-7555	30	11	an	an	DET
bibechana-7555	30	12	unitary	unitary	ADJ
bibechana-7555	30	13	space	space	NOUN
bibechana-7555	30	14	if	if	SCONJ
bibechana-7555	30	15	the	the	DET
bibechana-7555	30	16	norm	norm	NOUN
bibechana-7555	30	17	satisfies	satisfy	VERB
bibechana-7555	30	18	the	the	DET
bibechana-7555	30	19	parallelogram	parallelogram	NOUN
bibechana-7555	30	20	low	low	ADJ
bibechana-7555	30	21	,	,	PUNCT
bibechana-7555	30	22	that	that	ADV
bibechana-7555	30	23	is	is	ADV
bibechana-7555	30	24	,	,	PUNCT
bibechana-7555	30	25	the	the	DET
bibechana-7555	30	26	following	follow	VERB
bibechana-7555	30	27	theorem	theorem	NOUN
bibechana-7555	30	28	gives	give	VERB
bibechana-7555	30	29	a	a	DET
bibechana-7555	30	30	necessary	necessary	ADJ
bibechana-7555	30	31	and	and	CCONJ
bibechana-7555	30	32	sufficient	sufficient	ADJ
bibechana-7555	30	33	condition	condition	NOUN
bibechana-7555	30	34	for	for	ADP
bibechana-7555	30	35	extension	extension	NOUN
bibechana-7555	30	36	of	of	ADP
bibechana-7555	30	37	a	a	DET
bibechana-7555	30	38	linear	linear	ADJ
bibechana-7555	30	39	operator	operator	NOUN
bibechana-7555	30	40	between	between	ADP
bibechana-7555	30	41	banach	banach	NOUN
bibechana-7555	30	42	spaces	space	NOUN
bibechana-7555	30	43	.	.	PUNCT
bibechana-7555	31	1	theorem	theorem	VERB
bibechana-7555	31	2	1.1	1.1	NUM
bibechana-7555	32	1	[	[	X
bibechana-7555	32	2	5	5	NUM
bibechana-7555	32	3	]	]	PUNCT
bibechana-7555	32	4	:	:	PUNCT
bibechana-7555	32	5	let	let	VERB
bibechana-7555	32	6	x	x	PRON
bibechana-7555	32	7	be	be	AUX
bibechana-7555	32	8	a	a	DET
bibechana-7555	32	9	banach	banach	NOUN
bibechana-7555	32	10	space	space	NOUN
bibechana-7555	32	11	and	and	CCONJ
bibechana-7555	32	12	m	m	AUX
bibechana-7555	32	13	be	be	AUX
bibechana-7555	32	14	a	a	DET
bibechana-7555	32	15	closed	closed	ADJ
bibechana-7555	32	16	subspace	subspace	NOUN
bibechana-7555	32	17	of	of	ADP
bibechana-7555	32	18	the	the	DET
bibechana-7555	32	19	real	real	ADJ
bibechana-7555	32	20	banach	banach	NOUN
bibechana-7555	32	21	space	space	NOUN
bibechana-7555	32	22	x	x	PUNCT
bibechana-7555	32	23	and	and	CCONJ
bibechana-7555	32	24	b	b	PROPN
bibechana-7555	32	25	is	be	AUX
bibechana-7555	32	26	a	a	DET
bibechana-7555	32	27	bounded	bounded	ADJ
bibechana-7555	32	28	linear	linear	ADJ
bibechana-7555	32	29	operator	operator	NOUN
bibechana-7555	32	30	which	which	PRON
bibechana-7555	32	31	maps	map	VERB
bibechana-7555	32	32	m	m	VERB
bibechana-7555	32	33	into	into	ADP
bibechana-7555	32	34	an	an	DET
bibechana-7555	32	35	arbitrary	arbitrary	ADJ
bibechana-7555	32	36	banach	banach	NOUN
bibechana-7555	32	37	space	space	NOUN
bibechana-7555	33	1	y.	y.	NOUN
bibechana-7555	33	2	then	then	ADV
bibechana-7555	33	3	there	there	PRON
bibechana-7555	33	4	exist	exist	VERB
bibechana-7555	33	5	a	a	DET
bibechana-7555	33	6	bounded	bounded	ADJ
bibechana-7555	33	7	linear	linear	ADJ
bibechana-7555	33	8	operator	operator	NOUN
bibechana-7555	33	9	b	b	PROPN
bibechana-7555	33	10	which	which	PRON
bibechana-7555	33	11	maps	map	VERB
bibechana-7555	33	12	x	x	PUNCT
bibechana-7555	33	13	into	into	ADP
bibechana-7555	33	14	y	y	PROPN
bibechana-7555	33	15	and	and	CCONJ
bibechana-7555	33	16	if	if	SCONJ
bibechana-7555	34	1	and	and	CCONJ
bibechana-7555	34	2	only	only	ADV
bibechana-7555	34	3	if	if	SCONJ
bibechana-7555	34	4	x	x	PRON
bibechana-7555	34	5	is	be	AUX
bibechana-7555	34	6	a	a	DET
bibechana-7555	34	7	unitary	unitary	ADJ
bibechana-7555	34	8	space	space	NOUN
bibechana-7555	34	9	.	.	PUNCT
bibechana-7555	35	1	2	2	X
bibechana-7555	35	2	.	.	X
bibechana-7555	35	3	main	main	ADJ
bibechana-7555	35	4	results	result	NOUN
bibechana-7555	35	5	in	in	ADP
bibechana-7555	35	6	this	this	DET
bibechana-7555	35	7	section	section	NOUN
bibechana-7555	35	8	,	,	PUNCT
bibechana-7555	35	9	we	we	PRON
bibechana-7555	35	10	let	let	VERB
bibechana-7555	35	11	always	always	ADV
bibechana-7555	35	12	x	x	VERB
bibechana-7555	35	13	be	be	AUX
bibechana-7555	35	14	a	a	DET
bibechana-7555	35	15	normed	normed	ADJ
bibechana-7555	35	16	space	space	NOUN
bibechana-7555	35	17	over	over	ADP
bibechana-7555	35	18	f	f	PROPN
bibechana-7555	35	19	(	(	PUNCT
bibechana-7555	35	20	)	)	PUNCT
bibechana-7555	35	21	;	;	PUNCT
bibechana-7555	35	22	unless	unless	SCONJ
bibechana-7555	35	23	the	the	DET
bibechana-7555	35	24	contrary	contrary	NOUN
bibechana-7555	35	25	is	be	AUX
bibechana-7555	35	26	specified	specify	VERB
bibechana-7555	35	27	.	.	PUNCT
bibechana-7555	36	1	we	we	PRON
bibechana-7555	36	2	set	set	VERB
bibechana-7555	36	3	and	and	CCONJ
bibechana-7555	36	4	definition	definition	NOUN
bibechana-7555	36	5	2.1	2.1	NUM
bibechana-7555	36	6	:	:	PUNCT
bibechana-7555	36	7	we	we	PRON
bibechana-7555	36	8	say	say	VERB
bibechana-7555	36	9	that	that	SCONJ
bibechana-7555	36	10	x	x	PRON
bibechana-7555	36	11	is	be	AUX
bibechana-7555	36	12	compactly	compactly	ADV
bibechana-7555	36	13	invariant	invariant	ADJ
bibechana-7555	36	14	when	when	SCONJ
bibechana-7555	36	15	for	for	SCONJ
bibechana-7555	36	16	each	each	DET
bibechana-7555	36	17	there	there	PRON
bibechana-7555	36	18	exists	exist	VERB
bibechana-7555	36	19	nonzero	nonzero	NOUN
bibechana-7555	36	20	such	such	ADJ
bibechana-7555	36	21	that	that	SCONJ
bibechana-7555	36	22	dealing	deal	VERB
bibechana-7555	36	23	with	with	ADP
bibechana-7555	36	24	the	the	DET
bibechana-7555	36	25	previous	previous	ADJ
bibechana-7555	36	26	definition	definition	NOUN
bibechana-7555	36	27	we	we	PRON
bibechana-7555	36	28	have	have	VERB
bibechana-7555	36	29	the	the	DET
bibechana-7555	36	30	following	follow	VERB
bibechana-7555	36	31	theorem	theorem	VERB
bibechana-7555	36	32	.	.	PUNCT
bibechana-7555	37	1	theorem	theorem	VERB
bibechana-7555	37	2	2.1	2.1	NUM
bibechana-7555	37	3	:	:	PUNCT
bibechana-7555	37	4	let	let	VERB
bibechana-7555	37	5	x	x	PRON
bibechana-7555	37	6	be	be	AUX
bibechana-7555	37	7	a	a	DET
bibechana-7555	37	8	finite	finite	ADJ
bibechana-7555	37	9	-	-	ADJ
bibechana-7555	37	10	dimensional	dimensional	ADJ
bibechana-7555	37	11	normed	normed	ADJ
bibechana-7555	37	12	space	space	NOUN
bibechana-7555	37	13	.	.	PUNCT
bibechana-7555	38	1	then	then	ADV
bibechana-7555	38	2	x	x	PRON
bibechana-7555	38	3	is	be	AUX
bibechana-7555	38	4	compactly	compactly	ADV
bibechana-7555	38	5	invariant	invariant	ADJ
bibechana-7555	38	6	.	.	PUNCT
bibechana-7555	39	1	proof	proof	NOUN
bibechana-7555	39	2	.	.	PUNCT
bibechana-7555	40	1	let	let	AUX
bibechana-7555	40	2	be	be	AUX
bibechana-7555	40	3	an	an	DET
bibechana-7555	40	4	arbitrary	arbitrary	ADJ
bibechana-7555	40	5	closed	closed	ADJ
bibechana-7555	40	6	subspace	subspace	NOUN
bibechana-7555	40	7	of	of	ADP
bibechana-7555	40	8	x.	x.	NOUN
bibechana-7555	40	9	it	it	PRON
bibechana-7555	40	10	is	be	AUX
bibechana-7555	40	11	easy	easy	ADJ
bibechana-7555	40	12	to	to	PART
bibechana-7555	40	13	show	show	VERB
bibechana-7555	40	14	that	that	SCONJ
bibechana-7555	40	15	the	the	DET
bibechana-7555	40	16	identity	identity	NOUN
bibechana-7555	40	17	operator	operator	NOUN
bibechana-7555	40	18	on	on	ADP
bibechana-7555	40	19	x	x	NOUN
bibechana-7555	40	20	,	,	PUNCT
bibechana-7555	40	21	say	say	VERB
bibechana-7555	40	22	,	,	PUNCT
bibechana-7555	40	23	is	be	AUX
bibechana-7555	40	24	compact	compact	ADJ
bibechana-7555	40	25	.	.	PUNCT
bibechana-7555	41	1	this	this	PRON
bibechana-7555	41	2	completes	complete	VERB
bibechana-7555	41	3	the	the	DET
bibechana-7555	41	4	proof	proof	NOUN
bibechana-7555	41	5	.	.	PUNCT
bibechana-7555	42	1	example	example	NOUN
bibechana-7555	42	2	2.1	2.1	NUM
bibechana-7555	42	3	:	:	PUNCT
bibechana-7555	42	4	are	be	AUX
bibechana-7555	42	5	compactly	compactly	ADV
bibechana-7555	42	6	invariant	invariant	ADJ
bibechana-7555	42	7	normed	normed	ADJ
bibechana-7555	42	8	spaces	space	NOUN
bibechana-7555	42	9	.	.	PUNCT
bibechana-7555	43	1	theorem	theorem	VERB
bibechana-7555	43	2	2.2	2.2	NUM
bibechana-7555	43	3	:	:	PUNCT
bibechana-7555	43	4	every	every	DET
bibechana-7555	43	5	infinite	infinite	ADJ
bibechana-7555	43	6	-	-	PUNCT
bibechana-7555	43	7	dimensional	dimensional	ADJ
bibechana-7555	43	8	banach	banach	NOUN
bibechana-7555	43	9	space	space	NOUN
bibechana-7555	43	10	contains	contain	VERB
bibechana-7555	43	11	infinite	infinite	ADJ
bibechana-7555	43	12	many	many	ADJ
bibechana-7555	43	13	compactly	compactly	ADV
bibechana-7555	43	14	invariant	invariant	ADJ
bibechana-7555	43	15	subspaces	subspace	NOUN
bibechana-7555	43	16	.	.	PUNCT
bibechana-7555	44	1	proof	proof	NOUN
bibechana-7555	44	2	.	.	PUNCT
bibechana-7555	45	1	it	it	PRON
bibechana-7555	45	2	immediately	immediately	ADV
bibechana-7555	45	3	follows	follow	VERB
bibechana-7555	45	4	from	from	ADP
bibechana-7555	45	5	the	the	DET
bibechana-7555	45	6	dvoretzky	dvoretzky	NOUN
bibechana-7555	45	7	's	's	PART
bibechana-7555	45	8	theorem.[8,theorem8	theorem.[8,theorem8	NUM
bibechana-7555	45	9	]	]	PUNCT
bibechana-7555	45	10	.	.	PUNCT
bibechana-7555	46	1	definition	definition	NOUN
bibechana-7555	46	2	2.2	2.2	NUM
bibechana-7555	46	3	:	:	PUNCT
bibechana-7555	46	4	we	we	PRON
bibechana-7555	46	5	say	say	VERB
bibechana-7555	46	6	that	that	SCONJ
bibechana-7555	46	7	a	a	DET
bibechana-7555	46	8	closed	closed	ADJ
bibechana-7555	46	9	subspace	subspace	NOUN
bibechana-7555	46	10	y	y	PROPN
bibechana-7555	46	11	of	of	ADP
bibechana-7555	46	12	x	x	PRON
bibechana-7555	46	13	is	be	AUX
bibechana-7555	46	14	sometimes	sometimes	ADV
bibechana-7555	46	15	c	c	NOUN
bibechana-7555	46	16	-	-	PUNCT
bibechana-7555	46	17	invariant	invariant	ADJ
bibechana-7555	46	18	,	,	PUNCT
bibechana-7555	46	19	when	when	SCONJ
bibechana-7555	46	20	there	there	PRON
bibechana-7555	46	21	is	be	VERB
bibechana-7555	46	22	such	such	ADJ
bibechana-7555	46	23	that	that	SCONJ
bibechana-7555	46	24	t	t	PROPN
bibechana-7555	46	25	is	be	AUX
bibechana-7555	46	26	called	call	VERB
bibechana-7555	46	27	fixing	fix	VERB
bibechana-7555	46	28	operator	operator	NOUN
bibechana-7555	46	29	of	of	ADP
bibechana-7555	46	30	y.	y.	PROPN
bibechana-7555	46	31	example	example	NOUN
bibechana-7555	46	32	2.2	2.2	NUM
bibechana-7555	46	33	:	:	PUNCT
bibechana-7555	46	34	let	let	AUX
bibechana-7555	46	35	be	be	AUX
bibechana-7555	46	36	a	a	DET
bibechana-7555	46	37	compact	compact	ADJ
bibechana-7555	46	38	operator	operator	NOUN
bibechana-7555	46	39	.	.	PUNCT
bibechana-7555	47	1	then	then	ADV
bibechana-7555	47	2	is	be	AUX
bibechana-7555	47	3	a	a	DET
bibechana-7555	47	4	sometimes	sometimes	ADV
bibechana-7555	47	5	c	c	NOUN
bibechana-7555	47	6	-	-	PUNCT
bibechana-7555	47	7	invariant	invariant	ADJ
bibechana-7555	47	8	closed	closed	ADJ
bibechana-7555	47	9	subspace	subspace	NOUN
bibechana-7555	47	10	of	of	ADP
bibechana-7555	47	11	x.	x.	NOUN
bibechana-7555	47	12	the	the	DET
bibechana-7555	47	13	problem	problem	NOUN
bibechana-7555	47	14	of	of	ADP
bibechana-7555	47	15	the	the	DET
bibechana-7555	47	16	existence	existence	NOUN
bibechana-7555	47	17	of	of	ADP
bibechana-7555	47	18	invariant	invariant	ADJ
bibechana-7555	47	19	subspaces	subspace	NOUN
bibechana-7555	47	20	of	of	ADP
bibechana-7555	47	21	a	a	DET
bibechana-7555	47	22	normed	normed	ADJ
bibechana-7555	47	23	space	space	NOUN
bibechana-7555	47	24	is	be	AUX
bibechana-7555	47	25	attractive	attractive	ADJ
bibechana-7555	47	26	for	for	ADP
bibechana-7555	47	27	many	many	ADJ
bibechana-7555	47	28	authors	author	NOUN
bibechana-7555	47	29	,	,	PUNCT
bibechana-7555	47	30	for	for	ADP
bibechana-7555	47	31	example	example	NOUN
bibechana-7555	47	32	see	see	VERB
bibechana-7555	47	33	[	[	PUNCT
bibechana-7555	47	34	9	9	NUM
bibechana-7555	47	35	-	-	SYM
bibechana-7555	47	36	12	12	NUM
bibechana-7555	47	37	]	]	PUNCT
bibechana-7555	47	38	.	.	PUNCT
bibechana-7555	48	1	next	next	ADV
bibechana-7555	48	2	,	,	PUNCT
bibechana-7555	48	3	we	we	PRON
bibechana-7555	48	4	prove	prove	VERB
bibechana-7555	48	5	a	a	DET
bibechana-7555	48	6	theorem	theorem	NOUN
bibechana-7555	48	7	,	,	PUNCT
bibechana-7555	48	8	in	in	ADP
bibechana-7555	48	9	the	the	DET
bibechana-7555	48	10	sense	sense	NOUN
bibechana-7555	48	11	of	of	ADP
bibechana-7555	48	12	definition	definition	NOUN
bibechana-7555	48	13	2.2	2.2	NUM
bibechana-7555	48	14	.	.	PUNCT
bibechana-7555	49	1	theorem	theorem	VERB
bibechana-7555	49	2	2.3	2.3	NUM
bibechana-7555	49	3	:	:	PUNCT
bibechana-7555	49	4	if	if	SCONJ
bibechana-7555	49	5	x	x	PRON
bibechana-7555	49	6	is	be	AUX
bibechana-7555	49	7	a	a	DET
bibechana-7555	49	8	m	m	ADV
bibechana-7555	49	9	-	-	ADJ
bibechana-7555	49	10	dimensional	dimensional	ADJ
bibechana-7555	49	11	normed	normed	ADJ
bibechana-7555	49	12	space	space	NOUN
bibechana-7555	49	13	with	with	ADP
bibechana-7555	49	14	,	,	PUNCT
bibechana-7555	49	15	then	then	ADV
bibechana-7555	49	16	it	it	PRON
bibechana-7555	49	17	has	have	VERB
bibechana-7555	49	18	a	a	DET
bibechana-7555	49	19	nontrivial	nontrivial	NOUN
bibechana-7555	49	20	sometimes	sometimes	ADV
bibechana-7555	49	21	c	c	NOUN
bibechana-7555	49	22	-	-	PUNCT
bibechana-7555	49	23	invariant	invariant	ADJ
bibechana-7555	49	24	closed	closed	ADJ
bibechana-7555	49	25	subspace	subspace	NOUN
bibechana-7555	49	26	.	.	PUNCT
bibechana-7555	50	1	proof	proof	NOUN
bibechana-7555	50	2	.	.	PUNCT
bibechana-7555	51	1	suppose	suppose	VERB
bibechana-7555	51	2	.	.	PUNCT
bibechana-7555	52	1	let	let	AUX
bibechana-7555	52	2	be	be	AUX
bibechana-7555	52	3	a	a	DET
bibechana-7555	52	4	basis	basis	NOUN
bibechana-7555	52	5	for	for	ADP
bibechana-7555	52	6	x.	x.	PROPN
bibechana-7555	52	7	set	set	VERB
bibechana-7555	52	8	.	.	PUNCT
bibechana-7555	53	1	obviously	obviously	ADV
bibechana-7555	53	2	,	,	PUNCT
bibechana-7555	53	3	y	y	PROPN
bibechana-7555	53	4	is	be	AUX
bibechana-7555	53	5	a	a	DET
bibechana-7555	53	6	nontrivial	nontrivial	NOUN
bibechana-7555	53	7	closed	close	VERB
bibechana-7555	53	8	subspace	subspace	NOUN
bibechana-7555	53	9	of	of	ADP
bibechana-7555	53	10	x.	x.	NOUN
bibechana-7555	53	11	the	the	DET
bibechana-7555	53	12	rest	rest	NOUN
bibechana-7555	53	13	of	of	ADP
bibechana-7555	53	14	what	what	PRON
bibechana-7555	53	15	we	we	PRON
bibechana-7555	53	16	need	need	VERB
bibechana-7555	53	17	follows	follow	VERB
bibechana-7555	53	18	from	from	ADP
bibechana-7555	53	19	theorem2.1	theorem2.1	NOUN
bibechana-7555	53	20	.	.	PUNCT
bibechana-7555	54	1	definition	definition	NOUN
bibechana-7555	54	2	2.3	2.3	NUM
bibechana-7555	54	3	:	:	PUNCT
bibechana-7555	54	4	we	we	PRON
bibechana-7555	54	5	say	say	VERB
bibechana-7555	54	6	that	that	SCONJ
bibechana-7555	54	7	a	a	DET
bibechana-7555	54	8	closed	closed	ADJ
bibechana-7555	54	9	subspace	subspace	NOUN
bibechana-7555	54	10	y	y	PROPN
bibechana-7555	54	11	of	of	ADP
bibechana-7555	54	12	a	a	PRON
bibechana-7555	54	13	x	x	PUNCT
bibechana-7555	54	14	is	be	AUX
bibechana-7555	54	15	sequentially	sequentially	ADV
bibechana-7555	54	16	c	c	NOUN
bibechana-7555	54	17	-	-	PUNCT
bibechana-7555	54	18	invariant	invariant	ADJ
bibechana-7555	54	19	when	when	SCONJ
bibechana-7555	54	20	there	there	PRON
bibechana-7555	54	21	is	be	VERB
bibechana-7555	54	22	a	a	DET
bibechana-7555	54	23	sequence	sequence	NOUN
bibechana-7555	54	24	of	of	ADP
bibechana-7555	54	25	such	such	ADJ
bibechana-7555	54	26	that	that	PRON
bibechana-7555	54	27	for	for	SCONJ
bibechana-7555	54	28	all	all	DET
bibechana-7555	54	29	the	the	DET
bibechana-7555	54	30	sequence	sequence	NOUN
bibechana-7555	54	31	is	be	AUX
bibechana-7555	54	32	called	call	VERB
bibechana-7555	54	33	fixing	fix	VERB
bibechana-7555	54	34	sequence	sequence	NOUN
bibechana-7555	54	35	of	of	ADP
bibechana-7555	54	36	y.	y.	NOUN
bibechana-7555	54	37	the	the	DET
bibechana-7555	54	38	next	next	ADJ
bibechana-7555	54	39	theorem	theorem	NOUN
bibechana-7555	54	40	gives	give	VERB
bibechana-7555	54	41	an	an	DET
bibechana-7555	54	42	interesting	interesting	ADJ
bibechana-7555	54	43	property	property	NOUN
bibechana-7555	54	44	on	on	ADP
bibechana-7555	54	45	invariance	invariance	NOUN
bibechana-7555	54	46	in	in	ADP
bibechana-7555	54	47	the	the	DET
bibechana-7555	54	48	sense	sense	NOUN
bibechana-7555	54	49	of	of	ADP
bibechana-7555	54	50	definition	definition	NOUN
bibechana-7555	54	51	2.3	2.3	NUM
bibechana-7555	54	52	.	.	PUNCT
bibechana-7555	55	1	theorem	theorem	VERB
bibechana-7555	55	2	2.4	2.4	NUM
bibechana-7555	55	3	:	:	PUNCT
bibechana-7555	55	4	let	let	VERB
bibechana-7555	55	5	y	y	PRON
bibechana-7555	55	6	be	be	AUX
bibechana-7555	55	7	a	a	DET
bibechana-7555	55	8	sequentially	sequentially	ADV
bibechana-7555	55	9	c	c	NOUN
bibechana-7555	55	10	-	-	PUNCT
bibechana-7555	55	11	invariant	invariant	ADJ
bibechana-7555	55	12	closed	closed	ADJ
bibechana-7555	55	13	subspace	subspace	NOUN
bibechana-7555	55	14	of	of	ADP
bibechana-7555	55	15	x.	x.	NOUN
bibechana-7555	55	16	also	also	ADV
bibechana-7555	55	17	,	,	PUNCT
bibechana-7555	55	18	let	let	AUX
bibechana-7555	55	19	be	be	AUX
bibechana-7555	55	20	fixing	fix	VERB
bibechana-7555	55	21	sequence	sequence	NOUN
bibechana-7555	55	22	of	of	ADP
bibechana-7555	55	23	y	y	PROPN
bibechana-7555	55	24	which	which	PRON
bibechana-7555	55	25	then	then	ADV
bibechana-7555	55	26	y	y	PROPN
bibechana-7555	55	27	is	be	AUX
bibechana-7555	55	28	an	an	DET
bibechana-7555	55	29	invariant	invariant	ADJ
bibechana-7555	55	30	subspace	subspace	NOUN
bibechana-7555	55	31	of	of	ADP
bibechana-7555	55	32	t.	t.	PROPN
bibechana-7555	55	33	a.m.	a.m.	PROPN
bibechana-7555	56	1	forouzanfar	forouzanfar	PROPN
bibechana-7555	56	2	et	et	PROPN
bibechana-7555	56	3	al	al	PROPN
bibechana-7555	56	4	/	/	PUNCT
bibechana-7555	56	5	bibechana	bibechana	PROPN
bibechana-7555	56	6	10	10	NUM
bibechana-7555	56	7	(	(	PUNCT
bibechana-7555	56	8	2014	2014	NUM
bibechana-7555	56	9	)	)	PUNCT
bibechana-7555	56	10	31	31	NUM
bibechana-7555	56	11	-	-	SYM
bibechana-7555	56	12	33	33	NUM
bibechana-7555	56	13	:	:	PUNCT
bibechana-7555	56	14	bmhss	bmhss	PROPN
bibechana-7555	56	15	,	,	PUNCT
bibechana-7555	56	16	p.33	p.33	PROPN
bibechana-7555	56	17	(	(	PUNCT
bibechana-7555	56	18	online	online	ADJ
bibechana-7555	56	19	publication	publication	NOUN
bibechana-7555	56	20	:	:	PUNCT
bibechana-7555	56	21	dec	dec	PROPN
bibechana-7555	56	22	.	.	PROPN
bibechana-7555	56	23	,	,	PUNCT
bibechana-7555	56	24	2013	2013	NUM
bibechana-7555	56	25	)	)	PUNCT
bibechana-7555	56	26	proof	proof	NOUN
bibechana-7555	56	27	.	.	PUNCT
bibechana-7555	56	28	suppose	suppose	VERB
bibechana-7555	56	29	that	that	SCONJ
bibechana-7555	56	30	since	since	SCONJ
bibechana-7555	56	31	for	for	ADP
bibechana-7555	56	32	all	all	PRON
bibechana-7555	56	33	,	,	PUNCT
bibechana-7555	56	34	so	so	ADV
bibechana-7555	56	35	by	by	ADP
bibechana-7555	56	36	assumption	assumption	NOUN
bibechana-7555	56	37	,	,	PUNCT
bibechana-7555	56	38	on	on	ADP
bibechana-7555	56	39	the	the	DET
bibechana-7555	56	40	other	other	ADJ
bibechana-7555	56	41	hand	hand	NOUN
bibechana-7555	56	42	,	,	PUNCT
bibechana-7555	56	43	since	since	SCONJ
bibechana-7555	56	44	was	be	AUX
bibechana-7555	56	45	arbitrary	arbitrary	ADJ
bibechana-7555	56	46	,	,	PUNCT
bibechana-7555	56	47	so	so	ADV
bibechana-7555	56	48	.	.	PUNCT
bibechana-7555	57	1	□	□	PUNCT
bibechana-7555	57	2	the	the	DET
bibechana-7555	57	3	next	next	ADJ
bibechana-7555	57	4	definition	definition	NOUN
bibechana-7555	57	5	has	have	VERB
bibechana-7555	57	6	a	a	DET
bibechana-7555	57	7	key	key	ADJ
bibechana-7555	57	8	role	role	NOUN
bibechana-7555	57	9	in	in	ADP
bibechana-7555	57	10	the	the	DET
bibechana-7555	57	11	main	main	ADJ
bibechana-7555	57	12	theorem	theorem	NOUN
bibechana-7555	57	13	.	.	PUNCT
bibechana-7555	58	1	definition	definition	NOUN
bibechana-7555	58	2	2.4	2.4	NUM
bibechana-7555	58	3	:	:	PUNCT
bibechana-7555	58	4	we	we	PRON
bibechana-7555	58	5	say	say	VERB
bibechana-7555	58	6	that	that	SCONJ
bibechana-7555	58	7	a	a	DET
bibechana-7555	58	8	normed	normed	ADJ
bibechana-7555	58	9	space	space	NOUN
bibechana-7555	58	10	x	x	PUNCT
bibechana-7555	58	11	is	be	AUX
bibechana-7555	58	12	uniformly	uniformly	ADV
bibechana-7555	58	13	invariant	invariant	ADJ
bibechana-7555	58	14	when	when	SCONJ
bibechana-7555	58	15	there	there	PRON
bibechana-7555	58	16	is	be	VERB
bibechana-7555	58	17	an	an	DET
bibechana-7555	58	18	operator	operator	NOUN
bibechana-7555	58	19	such	such	ADJ
bibechana-7555	58	20	that	that	PRON
bibechana-7555	58	21	for	for	ADP
bibechana-7555	58	22	each	each	PRON
bibechana-7555	58	23	.	.	PUNCT
bibechana-7555	59	1	in	in	ADP
bibechana-7555	59	2	particular	particular	ADJ
bibechana-7555	59	3	,	,	PUNCT
bibechana-7555	59	4	if	if	SCONJ
bibechana-7555	59	5	x	x	PRON
bibechana-7555	59	6	is	be	AUX
bibechana-7555	59	7	a	a	DET
bibechana-7555	59	8	hilbert	hilbert	NOUN
bibechana-7555	59	9	space	space	NOUN
bibechana-7555	59	10	then	then	ADV
bibechana-7555	59	11	we	we	PRON
bibechana-7555	59	12	say	say	VERB
bibechana-7555	59	13	that	that	SCONJ
bibechana-7555	59	14	it	it	PRON
bibechana-7555	59	15	is	be	AUX
bibechana-7555	59	16	strict	strict	ADJ
bibechana-7555	59	17	uniformly	uniformly	ADV
bibechana-7555	59	18	invariant	invariant	ADJ
bibechana-7555	59	19	when	when	SCONJ
bibechana-7555	59	20	furthermore	furthermore	ADV
bibechana-7555	59	21	the	the	DET
bibechana-7555	59	22	last	last	ADJ
bibechana-7555	59	23	assumptions	assumption	NOUN
bibechana-7555	59	24	,	,	PUNCT
bibechana-7555	59	25	is	be	AUX
bibechana-7555	59	26	positive	positive	ADJ
bibechana-7555	59	27	,	,	PUNCT
bibechana-7555	59	28	for	for	ADP
bibechana-7555	59	29	every	every	PRON
bibechana-7555	59	30	;	;	PUNCT
bibechana-7555	59	31	then	then	ADV
bibechana-7555	59	32	,	,	PUNCT
bibechana-7555	59	33	t	t	PROPN
bibechana-7555	59	34	is	be	AUX
bibechana-7555	59	35	called	call	VERB
bibechana-7555	59	36	uniformly	uniformly	ADV
bibechana-7555	59	37	invariant	invariant	ADJ
bibechana-7555	59	38	operator	operator	NOUN
bibechana-7555	59	39	and	and	CCONJ
bibechana-7555	59	40	strict	strict	ADJ
bibechana-7555	59	41	uniformly	uniformly	ADV
bibechana-7555	59	42	invariant	invariant	ADJ
bibechana-7555	59	43	operator	operator	NOUN
bibechana-7555	59	44	,	,	PUNCT
bibechana-7555	59	45	respectively	respectively	ADV
bibechana-7555	59	46	.	.	PUNCT
bibechana-7555	60	1	open	open	ADJ
bibechana-7555	60	2	problem	problem	NOUN
bibechana-7555	60	3	2.1	2.1	NUM
bibechana-7555	60	4	:	:	PUNCT
bibechana-7555	60	5	find	find	VERB
bibechana-7555	60	6	a	a	DET
bibechana-7555	60	7	normed	normed	ADJ
bibechana-7555	60	8	space	space	NOUN
bibechana-7555	60	9	which	which	PRON
bibechana-7555	60	10	is	be	AUX
bibechana-7555	60	11	both	both	PRON
bibechana-7555	60	12	uniformly	uniformly	ADV
bibechana-7555	60	13	invariant	invariant	ADJ
bibechana-7555	60	14	and	and	CCONJ
bibechana-7555	60	15	compactly	compactly	ADV
bibechana-7555	60	16	invariant	invariant	ADJ
bibechana-7555	60	17	.	.	PUNCT
bibechana-7555	61	1	now	now	ADV
bibechana-7555	61	2	we	we	PRON
bibechana-7555	61	3	can	can	AUX
bibechana-7555	61	4	now	now	ADV
bibechana-7555	61	5	prove	prove	VERB
bibechana-7555	61	6	the	the	DET
bibechana-7555	61	7	main	main	ADJ
bibechana-7555	61	8	theorem	theorem	NOUN
bibechana-7555	61	9	of	of	ADP
bibechana-7555	61	10	this	this	DET
bibechana-7555	61	11	paper	paper	NOUN
bibechana-7555	61	12	.	.	PUNCT
bibechana-7555	62	1	theorem	theorem	VERB
bibechana-7555	62	2	2.5	2.5	NUM
bibechana-7555	62	3	:	:	PUNCT
bibechana-7555	62	4	let	let	VERB
bibechana-7555	62	5	h	h	NOUN
bibechana-7555	62	6	be	be	AUX
bibechana-7555	62	7	a	a	DET
bibechana-7555	62	8	strict	strict	ADJ
bibechana-7555	62	9	uniformly	uniformly	ADV
bibechana-7555	62	10	invariant	invariant	ADJ
bibechana-7555	62	11	hilbert	hilbert	NOUN
bibechana-7555	62	12	space	space	NOUN
bibechana-7555	62	13	with	with	ADP
bibechana-7555	62	14	strict	strict	ADJ
bibechana-7555	62	15	uniformly	uniformly	ADV
bibechana-7555	62	16	invariant	invariant	ADJ
bibechana-7555	62	17	operator	operator	NOUN
bibechana-7555	62	18	t.	t.	NOUN
bibechana-7555	62	19	suppose	suppose	VERB
bibechana-7555	62	20	that	that	SCONJ
bibechana-7555	62	21	s	s	AUX
bibechana-7555	62	22	be	be	AUX
bibechana-7555	62	23	an	an	DET
bibechana-7555	62	24	linear	linear	ADJ
bibechana-7555	62	25	bounded	bound	VERB
bibechana-7555	62	26	operator	operator	NOUN
bibechana-7555	62	27	on	on	ADP
bibechana-7555	62	28	a	a	DET
bibechana-7555	62	29	closed	closed	ADJ
bibechana-7555	62	30	subspace	subspace	NOUN
bibechana-7555	62	31	y	y	PROPN
bibechana-7555	62	32	of	of	ADP
bibechana-7555	62	33	h	h	PROPN
bibechana-7555	62	34	such	such	ADJ
bibechana-7555	62	35	that	that	SCONJ
bibechana-7555	62	36	then	then	ADV
bibechana-7555	62	37	there	there	PRON
bibechana-7555	62	38	exists	exist	VERB
bibechana-7555	62	39	a	a	DET
bibechana-7555	62	40	positive	positive	ADJ
bibechana-7555	62	41	operator	operator	NOUN
bibechana-7555	62	42	on	on	ADP
bibechana-7555	62	43	h	h	PRON
bibechana-7555	62	44	such	such	ADJ
bibechana-7555	62	45	that	that	SCONJ
bibechana-7555	62	46	y	y	PROPN
bibechana-7555	62	47	is	be	AUX
bibechana-7555	62	48	invariant	invariant	ADJ
bibechana-7555	62	49	under	under	ADP
bibechana-7555	62	50	it	it	PRON
bibechana-7555	62	51	.	.	PUNCT
bibechana-7555	63	1	proof	proof	NOUN
bibechana-7555	63	2	.	.	PUNCT
bibechana-7555	64	1	by	by	ADP
bibechana-7555	64	2	theorem	theorem	NOUN
bibechana-7555	64	3	1.1	1.1	NUM
bibechana-7555	64	4	,	,	PUNCT
bibechana-7555	64	5	there	there	PRON
bibechana-7555	64	6	exists	exist	VERB
bibechana-7555	64	7	a	a	DET
bibechana-7555	64	8	linear	linear	NOUN
bibechana-7555	64	9	bounded	bound	VERB
bibechana-7555	64	10	operator	operator	NOUN
bibechana-7555	64	11	which	which	PRON
bibechana-7555	64	12	maps	map	VERB
bibechana-7555	64	13	h	h	NOUN
bibechana-7555	64	14	into	into	ADP
bibechana-7555	64	15	h.	h.	PROPN
bibechana-7555	64	16	evidently	evidently	ADV
bibechana-7555	64	17	,	,	PUNCT
bibechana-7555	64	18	the	the	DET
bibechana-7555	64	19	restriction	restriction	NOUN
bibechana-7555	64	20	of	of	ADP
bibechana-7555	64	21	to	to	ADP
bibechana-7555	64	22	y	y	PROPN
bibechana-7555	64	23	is	be	AUX
bibechana-7555	64	24	s.	s.	PROPN
bibechana-7555	64	25	since	since	SCONJ
bibechana-7555	64	26	h	h	PROPN
bibechana-7555	64	27	is	be	AUX
bibechana-7555	64	28	strict	strict	ADJ
bibechana-7555	64	29	uniformly	uniformly	ADV
bibechana-7555	64	30	invariant	invariant	ADJ
bibechana-7555	64	31	,	,	PUNCT
bibechana-7555	64	32	therefore	therefore	ADV
bibechana-7555	64	33	on	on	ADP
bibechana-7555	64	34	h.	h.	PROPN
bibechana-7555	64	35	set	set	PROPN
bibechana-7555	64	36	.then	.then	PUNCT
bibechana-7555	65	1	y	y	NOUN
bibechana-7555	65	2	is	be	AUX
bibechana-7555	65	3	an	an	DET
bibechana-7555	65	4	invariant	invariant	ADJ
bibechana-7555	65	5	subspace	subspace	NOUN
bibechana-7555	65	6	of	of	ADP
bibechana-7555	65	7	,	,	PUNCT
bibechana-7555	65	8	as	as	SCONJ
bibechana-7555	65	9	desired	desire	VERB
bibechana-7555	65	10	.	.	PUNCT
bibechana-7555	66	1	references	reference	NOUN
bibechana-7555	66	2	1	1	NUM
bibechana-7555	66	3	.	.	PUNCT
bibechana-7555	67	1	p.	p.	NOUN
bibechana-7555	67	2	bandyopadhyay	bandyopadhyay	NOUN
bibechana-7555	67	3	and	and	CCONJ
bibechana-7555	67	4	a.	a.	PROPN
bibechana-7555	67	5	k.	k.	PROPN
bibechana-7555	67	6	roy	roy	PROPN
bibechana-7555	67	7	,	,	PUNCT
bibechana-7555	67	8	extracta	extracta	PROPN
bibechana-7555	67	9	mathematica	mathematica	PROPN
bibechana-7555	67	10	,	,	PUNCT
bibechana-7555	67	11	22	22	NUM
bibechana-7555	67	12	(	(	PUNCT
bibechana-7555	67	13	2007	2007	NUM
bibechana-7555	67	14	)	)	PUNCT
bibechana-7555	67	15	93	93	NUM
bibechana-7555	67	16	.	.	PUNCT
bibechana-7555	68	1	2	2	X
bibechana-7555	68	2	.	.	PUNCT
bibechana-7555	68	3	p.	p.	NOUN
bibechana-7555	68	4	enflo	enflo	PROPN
bibechana-7555	68	5	,	,	PUNCT
bibechana-7555	68	6	,	,	PUNCT
bibechana-7555	68	7	acta	acta	PROPN
bibechana-7555	68	8	mathematica	mathematica	PROPN
bibechana-7555	68	9	,	,	PUNCT
bibechana-7555	68	10	158	158	NUM
bibechana-7555	68	11	(	(	PUNCT
bibechana-7555	68	12	1987	1987	NUM
bibechana-7555	68	13	)	)	PUNCT
bibechana-7555	68	14	213	213	NUM
bibechana-7555	68	15	.	.	NOUN
bibechana-7555	69	1	3	3	X
bibechana-7555	69	2	.	.	X
bibechana-7555	69	3	m.	m.	PROPN
bibechana-7555	69	4	vonkomerova	vonkomerova	PROPN
bibechana-7555	69	5	,	,	PUNCT
bibechana-7555	69	6	math	math	NOUN
bibechana-7555	69	7	.	.	PUNCT
bibechana-7555	70	1	slovaca	slovaca	PROPN
bibechana-7555	70	2	,	,	PUNCT
bibechana-7555	70	3	31(1981	31(1981	NUM
bibechana-7555	70	4	)	)	PUNCT
bibechana-7555	70	5	251	251	NUM
bibechana-7555	70	6	.	.	PUNCT
bibechana-7555	71	1	4	4	X
bibechana-7555	71	2	.	.	X
bibechana-7555	71	3	c.	c.	PROPN
bibechana-7555	71	4	d.	d.	PROPN
bibechana-7555	71	5	aliprantis	aliprantis	PROPN
bibechana-7555	71	6	and	and	CCONJ
bibechana-7555	71	7	o.	o.	PROPN
bibechana-7555	71	8	burkinshaw	burkinshaw	PROPN
bibechana-7555	71	9	,	,	PUNCT
bibechana-7555	71	10	positive	positive	ADJ
bibechana-7555	71	11	operators	operator	NOUN
bibechana-7555	71	12	,	,	PUNCT
bibechana-7555	71	13	springer	springer	NOUN
bibechana-7555	71	14	,	,	PUNCT
bibechana-7555	71	15	usa	usa	PROPN
bibechana-7555	71	16	,	,	PUNCT
bibechana-7555	71	17	2006	2006	NUM
bibechana-7555	71	18	.	.	PUNCT
bibechana-7555	72	1	5	5	NUM
bibechana-7555	72	2	.	.	PUNCT
bibechana-7555	72	3	j.	j.	PROPN
bibechana-7555	72	4	saccoman	saccoman	PROPN
bibechana-7555	72	5	,	,	PUNCT
bibechana-7555	72	6	,	,	PUNCT
bibechana-7555	72	7	ijmms	ijmms	NOUN
bibechana-7555	72	8	,	,	PUNCT
bibechana-7555	72	9	28	28	NUM
bibechana-7555	72	10	(	(	PUNCT
bibechana-7555	72	11	2001	2001	NUM
bibechana-7555	72	12	)	)	PUNCT
bibechana-7555	72	13	621	621	NUM
bibechana-7555	72	14	.	.	X
bibechana-7555	73	1	6	6	NUM
bibechana-7555	73	2	.	.	PUNCT
bibechana-7555	73	3	e.	e.	PROPN
bibechana-7555	73	4	karapınar	karapınar	PROPN
bibechana-7555	73	5	,	,	PUNCT
bibechana-7555	73	6	,	,	PUNCT
bibechana-7555	73	7	hacettepe	hacettepe	ADJ
bibechana-7555	73	8	journal	journal	NOUN
bibechana-7555	73	9	of	of	ADP
bibechana-7555	73	10	mathematics	mathematic	NOUN
bibechana-7555	73	11	and	and	CCONJ
bibechana-7555	73	12	statistics	statistic	NOUN
bibechana-7555	73	13	,	,	PUNCT
bibechana-7555	73	14	39	39	NUM
bibechana-7555	73	15	(	(	PUNCT
bibechana-7555	73	16	2010	2010	NUM
bibechana-7555	73	17	)	)	PUNCT
bibechana-7555	73	18	337	337	NUM
bibechana-7555	73	19	.	.	PUNCT
bibechana-7555	74	1	7	7	X
bibechana-7555	74	2	.	.	X
bibechana-7555	74	3	e.	e.	PROPN
bibechana-7555	74	4	kreyszig	kreyszig	PROPN
bibechana-7555	74	5	,	,	PUNCT
bibechana-7555	74	6	introductory	introductory	ADJ
bibechana-7555	74	7	functional	functional	ADJ
bibechana-7555	74	8	analysis	analysis	NOUN
bibechana-7555	74	9	with	with	ADP
bibechana-7555	74	10	applications	application	NOUN
bibechana-7555	74	11	,	,	PUNCT
bibechana-7555	74	12	john	john	PROPN
bibechana-7555	74	13	wiley	wiley	PROPN
bibechana-7555	74	14	&	&	CCONJ
bibechana-7555	74	15	sons	sons	PROPN
bibechana-7555	74	16	,	,	PUNCT
bibechana-7555	74	17	canada	canada	PROPN
bibechana-7555	74	18	,	,	PUNCT
bibechana-7555	74	19	1978	1978	NUM
bibechana-7555	74	20	.	.	PUNCT
bibechana-7555	75	1	8	8	NUM
bibechana-7555	75	2	.	.	PUNCT
bibechana-7555	75	3	a.	a.	PROPN
bibechana-7555	75	4	slavik	slavik	PROPN
bibechana-7555	75	5	,	,	PUNCT
bibechana-7555	75	6	glasgow	glasgow	PROPN
bibechana-7555	75	7	math	math	NOUN
bibechana-7555	75	8	.	.	PUNCT
bibechana-7555	76	1	j.	j.	PROPN
bibechana-7555	76	2	,	,	PUNCT
bibechana-7555	76	3	53	53	NUM
bibechana-7555	76	4	(	(	PUNCT
bibechana-7555	76	5	2011	2011	NUM
bibechana-7555	76	6	)	)	PUNCT
bibechana-7555	76	7	443	443	NUM
bibechana-7555	76	8	.	.	NOUN
bibechana-7555	76	9	9	9	NUM
bibechana-7555	76	10	.	.	PUNCT
bibechana-7555	76	11	s.	s.	PROPN
bibechana-7555	76	12	brown	brown	PROPN
bibechana-7555	76	13	,	,	PUNCT
bibechana-7555	76	14	int	int	NOUN
bibechana-7555	76	15	.	.	PUNCT
bibechana-7555	77	1	equ	equ	PROPN
bibechana-7555	77	2	.	.	PUNCT
bibechana-7555	78	1	oper.theory,1(1978	oper.theory,1(1978	PROPN
bibechana-7555	78	2	)	)	PUNCT
bibechana-7555	78	3	310	310	NUM
bibechana-7555	78	4	.	.	NOUN
bibechana-7555	79	1	10	10	NUM
bibechana-7555	79	2	.	.	PUNCT
bibechana-7555	79	3	i.	i.	PROPN
bibechana-7555	79	4	gohberg	gohberg	PROPN
bibechana-7555	79	5	,	,	PUNCT
bibechana-7555	79	6	p.	p.	NOUN
bibechana-7555	79	7	lancaster	lancaster	PROPN
bibechana-7555	79	8	and	and	CCONJ
bibechana-7555	79	9	l.	l.	PROPN
bibechana-7555	79	10	rodman	rodman	PROPN
bibechana-7555	79	11	,	,	PUNCT
bibechana-7555	79	12	invariant	invariant	ADJ
bibechana-7555	79	13	subspaces	subspace	NOUN
bibechana-7555	79	14	of	of	ADP
bibechana-7555	79	15	matrices	matrix	NOUN
bibechana-7555	79	16	with	with	ADP
bibechana-7555	79	17	applications	application	NOUN
bibechana-7555	79	18	,	,	PUNCT
bibechana-7555	79	19	wiley	wiley	NOUN
bibechana-7555	79	20	-	-	PUNCT
bibechana-7555	79	21	interscience	interscience	PROPN
bibechana-7555	79	22	,	,	PUNCT
bibechana-7555	79	23	new	new	PROPN
bibechana-7555	79	24	york	york	PROPN
bibechana-7555	79	25	,	,	PUNCT
bibechana-7555	79	26	1986	1986	NUM
bibechana-7555	79	27	.	.	PUNCT
bibechana-7555	80	1	11	11	NUM
bibechana-7555	80	2	.	.	PUNCT
bibechana-7555	81	1	h.	h.	PROPN
bibechana-7555	81	2	bercovici	bercovici	PROPN
bibechana-7555	81	3	and	and	CCONJ
bibechana-7555	81	4	a.	a.	NOUN
bibechana-7555	81	5	tannenbaum	tannenbaum	PROPN
bibechana-7555	81	6	,	,	PUNCT
bibechana-7555	81	7	j.	j.	PROPN
bibechana-7555	81	8	math	math	PROPN
bibechana-7555	81	9	.	.	PUNCT
bibechana-7555	82	1	anal	anal	PROPN
bibechana-7555	82	2	.	.	PUNCT
bibechana-7555	82	3	appl	appl	PROPN
bibechana-7555	82	4	.	.	PUNCT
bibechana-7555	83	1	156	156	NUM
bibechana-7555	83	2	(	(	PUNCT
bibechana-7555	83	3	1991	1991	NUM
bibechana-7555	83	4	)	)	PUNCT
bibechana-7555	83	5	220	220	NUM
bibechana-7555	83	6	.	.	NOUN
bibechana-7555	83	7	12	12	NUM
bibechana-7555	83	8	.	.	PUNCT
bibechana-7555	84	1	w.s.li	w.s.li	NOUN
bibechana-7555	84	2	and	and	CCONJ
bibechana-7555	84	3	v.muller	v.muller	ADJ
bibechana-7555	84	4	,	,	PUNCT
bibechana-7555	84	5	integr	integr	NOUN
bibechana-7555	84	6	.	.	PUNCT
bibechana-7555	84	7	equ.oper	equ.oper	NOUN
bibechana-7555	84	8	.	.	PUNCT
bibechana-7555	85	1	theory	theory	NOUN
bibechana-7555	85	2	,	,	PUNCT
bibechana-7555	85	3	(	(	PUNCT
bibechana-7555	85	4	1999)197	1999)197	X
bibechana-7555	85	5	.	.	PUNCT