id	sid	tid	token	lemma	pos
ejpam-5303	1	1	european	european	PROPN
ejpam-5303	1	2	journal	journal	PROPN
ejpam-5303	1	3	of	of	ADP
ejpam-5303	1	4	pure	pure	ADJ
ejpam-5303	1	5	and	and	CCONJ
ejpam-5303	1	6	applied	apply	VERB
ejpam-5303	1	7	mathematics	mathematic	NOUN
ejpam-5303	1	8	vol	vol	NOUN
ejpam-5303	1	9	.	.	PROPN
ejpam-5303	2	1	17	17	NUM
ejpam-5303	2	2	,	,	PUNCT
ejpam-5303	2	3	no	no	INTJ
ejpam-5303	2	4	.	.	NOUN
ejpam-5303	2	5	3	3	NUM
ejpam-5303	2	6	,	,	PUNCT
ejpam-5303	2	7	2024	2024	NUM
ejpam-5303	2	8	,	,	PUNCT
ejpam-5303	2	9	2073	2073	NUM
ejpam-5303	2	10	-	-	SYM
ejpam-5303	2	11	2083	2083	NUM
ejpam-5303	2	12	issn	issn	PROPN
ejpam-5303	2	13	1307	1307	NUM
ejpam-5303	2	14	-	-	SYM
ejpam-5303	2	15	5543	5543	NUM
ejpam-5303	2	16	–	–	PUNCT
ejpam-5303	2	17	ejpam.com	ejpam.com	X
ejpam-5303	2	18	published	publish	VERB
ejpam-5303	2	19	by	by	ADP
ejpam-5303	2	20	new	new	PROPN
ejpam-5303	2	21	york	york	PROPN
ejpam-5303	2	22	business	business	PROPN
ejpam-5303	2	23	global	global	VERB
ejpam-5303	2	24	some	some	DET
ejpam-5303	2	25	properties	property	NOUN
ejpam-5303	2	26	of	of	ADP
ejpam-5303	2	27	(	(	PUNCT
ejpam-5303	2	28	m	m	PROPN
ejpam-5303	2	29	,	,	PUNCT
ejpam-5303	2	30	k)−quasi	k)−quasi	PROPN
ejpam-5303	2	31	paranormal	paranormal	ADJ
ejpam-5303	2	32	operators	operator	NOUN
ejpam-5303	2	33	on	on	ADP
ejpam-5303	2	34	hilbert	hilbert	PROPN
ejpam-5303	2	35	spaces	space	NOUN
ejpam-5303	2	36	valdete	valdete	NOUN
ejpam-5303	2	37	rexhëbeqaj	rexhëbeqaj	ADP
ejpam-5303	2	38	hamiti1	hamiti1	PROPN
ejpam-5303	2	39	,	,	PUNCT
ejpam-5303	2	40	shkumbin	shkumbin	PROPN
ejpam-5303	2	41	makolli2,∗	makolli2,∗	AUX
ejpam-5303	2	42	1	1	NUM
ejpam-5303	2	43	department	department	NOUN
ejpam-5303	2	44	of	of	ADP
ejpam-5303	2	45	mathematics	mathematic	NOUN
ejpam-5303	2	46	,	,	PUNCT
ejpam-5303	2	47	faculty	faculty	NOUN
ejpam-5303	2	48	of	of	ADP
ejpam-5303	2	49	electrical	electrical	ADJ
ejpam-5303	2	50	and	and	CCONJ
ejpam-5303	2	51	computer	computer	NOUN
ejpam-5303	2	52	engineering	engineering	NOUN
ejpam-5303	2	53	,	,	PUNCT
ejpam-5303	2	54	university	university	PROPN
ejpam-5303	2	55	of	of	ADP
ejpam-5303	2	56	prishtina	prishtina	PROPN
ejpam-5303	2	57	”	"	PUNCT
ejpam-5303	2	58	hasan	hasan	PROPN
ejpam-5303	2	59	prishtina	prishtina	PROPN
ejpam-5303	2	60	”	"	PUNCT
ejpam-5303	2	61	,	,	PUNCT
ejpam-5303	2	62	prishtinë	prishtinë	PROPN
ejpam-5303	2	63	,	,	PUNCT
ejpam-5303	2	64	10000	10000	NUM
ejpam-5303	2	65	,	,	PUNCT
ejpam-5303	2	66	kosovë	kosovë	NOUN
ejpam-5303	2	67	2	2	NUM
ejpam-5303	2	68	department	department	NOUN
ejpam-5303	2	69	of	of	ADP
ejpam-5303	2	70	mathematics	mathematic	NOUN
ejpam-5303	2	71	,	,	PUNCT
ejpam-5303	2	72	faculty	faculty	NOUN
ejpam-5303	2	73	of	of	ADP
ejpam-5303	2	74	civil	civil	ADJ
ejpam-5303	2	75	engineering	engineering	NOUN
ejpam-5303	2	76	,	,	PUNCT
ejpam-5303	2	77	university	university	PROPN
ejpam-5303	2	78	of	of	ADP
ejpam-5303	2	79	prishtina	prishtina	PROPN
ejpam-5303	2	80	”	"	PUNCT
ejpam-5303	2	81	hasan	hasan	PROPN
ejpam-5303	2	82	prishtina	prishtina	PROPN
ejpam-5303	2	83	”	"	PUNCT
ejpam-5303	2	84	,	,	PUNCT
ejpam-5303	2	85	prishtinë	prishtinë	PROPN
ejpam-5303	2	86	,	,	PUNCT
ejpam-5303	2	87	10000	10000	NUM
ejpam-5303	2	88	,	,	PUNCT
ejpam-5303	2	89	kosovë	kosovë	NOUN
ejpam-5303	2	90	abstract	abstract	NOUN
ejpam-5303	2	91	.	.	PUNCT
ejpam-5303	3	1	let	let	VERB
ejpam-5303	3	2	h	h	PRON
ejpam-5303	3	3	be	be	AUX
ejpam-5303	3	4	a	a	DET
ejpam-5303	3	5	complex	complex	ADJ
ejpam-5303	3	6	hilbert	hilbert	NOUN
ejpam-5303	3	7	space	space	NOUN
ejpam-5303	3	8	and	and	CCONJ
ejpam-5303	3	9	let	let	VERB
ejpam-5303	3	10	t	t	PROPN
ejpam-5303	3	11	represent	represent	VERB
ejpam-5303	3	12	a	a	DET
ejpam-5303	3	13	bounded	bounded	ADJ
ejpam-5303	3	14	linear	linear	ADJ
ejpam-5303	3	15	operator	operator	NOUN
ejpam-5303	3	16	on	on	ADP
ejpam-5303	3	17	h.	h.	PROPN
ejpam-5303	3	18	in	in	ADP
ejpam-5303	3	19	this	this	DET
ejpam-5303	3	20	paper	paper	NOUN
ejpam-5303	3	21	we	we	PRON
ejpam-5303	3	22	introduce	introduce	VERB
ejpam-5303	3	23	,	,	PUNCT
ejpam-5303	3	24	a	a	DET
ejpam-5303	3	25	new	new	ADJ
ejpam-5303	3	26	class	class	NOUN
ejpam-5303	3	27	of	of	ADP
ejpam-5303	3	28	non	non	ADJ
ejpam-5303	3	29	normal	normal	ADJ
ejpam-5303	3	30	operators	operator	NOUN
ejpam-5303	3	31	,	,	PUNCT
ejpam-5303	3	32	the	the	DET
ejpam-5303	3	33	(	(	PUNCT
ejpam-5303	3	34	m	m	PROPN
ejpam-5303	3	35	,	,	PUNCT
ejpam-5303	3	36	k)−quasi	k)−quasi	ADJ
ejpam-5303	3	37	paranormal	paranormal	ADJ
ejpam-5303	3	38	operator	operator	NOUN
ejpam-5303	3	39	.	.	PUNCT
ejpam-5303	4	1	an	an	DET
ejpam-5303	4	2	operator	operator	NOUN
ejpam-5303	4	3	t	t	NOUN
ejpam-5303	4	4	is	be	AUX
ejpam-5303	4	5	said	say	VERB
ejpam-5303	4	6	to	to	PART
ejpam-5303	4	7	be	be	AUX
ejpam-5303	4	8	a	a	DET
ejpam-5303	4	9	(	(	PUNCT
ejpam-5303	4	10	m	m	PROPN
ejpam-5303	4	11	,	,	PUNCT
ejpam-5303	4	12	k)−quasi	k)−quasi	ADJ
ejpam-5303	4	13	paranormal	paranormal	ADJ
ejpam-5303	4	14	operator	operator	NOUN
ejpam-5303	4	15	,	,	PUNCT
ejpam-5303	4	16	for	for	ADP
ejpam-5303	4	17	a	a	DET
ejpam-5303	4	18	non	non	ADJ
ejpam-5303	4	19	negative	negative	ADJ
ejpam-5303	4	20	integer	integer	NOUN
ejpam-5303	4	21	k	k	PROPN
ejpam-5303	4	22	and	and	CCONJ
ejpam-5303	4	23	a	a	DET
ejpam-5303	4	24	real	real	ADJ
ejpam-5303	4	25	positive	positive	ADJ
ejpam-5303	4	26	number	number	NOUN
ejpam-5303	4	27	m	m	VERB
ejpam-5303	4	28	if	if	SCONJ
ejpam-5303	4	29	it	it	PRON
ejpam-5303	4	30	satisfies	satisfy	VERB
ejpam-5303	4	31	∥t	∥t	ADJ
ejpam-5303	4	32	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	4	33	≤	≤	NUM
ejpam-5303	4	34	m∥t	m∥t	PROPN
ejpam-5303	4	35	k+2x∥·∥t	k+2x∥·∥t	PROPN
ejpam-5303	4	36	kx∥	kx∥	PROPN
ejpam-5303	4	37	,	,	PUNCT
ejpam-5303	4	38	for	for	ADP
ejpam-5303	4	39	all	all	DET
ejpam-5303	4	40	x	x	SYM
ejpam-5303	4	41	∈	∈	PROPN
ejpam-5303	4	42	h.	h.	NOUN
ejpam-5303	4	43	this	this	DET
ejpam-5303	4	44	new	new	ADJ
ejpam-5303	4	45	class	class	NOUN
ejpam-5303	4	46	of	of	ADP
ejpam-5303	4	47	operators	operator	NOUN
ejpam-5303	4	48	is	be	AUX
ejpam-5303	4	49	generalization	generalization	NOUN
ejpam-5303	4	50	of	of	ADP
ejpam-5303	4	51	some	some	PRON
ejpam-5303	4	52	of	of	ADP
ejpam-5303	4	53	the	the	DET
ejpam-5303	4	54	non	non	ADJ
ejpam-5303	4	55	normal	normal	ADJ
ejpam-5303	4	56	operators	operator	NOUN
ejpam-5303	4	57	,	,	PUNCT
ejpam-5303	4	58	such	such	ADJ
ejpam-5303	4	59	as	as	ADP
ejpam-5303	4	60	,	,	PUNCT
ejpam-5303	4	61	the	the	DET
ejpam-5303	4	62	k−quasi	k−quasi	PROPN
ejpam-5303	4	63	paranormal	paranormal	ADJ
ejpam-5303	4	64	and	and	CCONJ
ejpam-5303	4	65	m−paranormal	m−paranormal	ADJ
ejpam-5303	4	66	operators	operator	NOUN
ejpam-5303	4	67	.	.	PUNCT
ejpam-5303	5	1	we	we	PRON
ejpam-5303	5	2	prove	prove	VERB
ejpam-5303	5	3	the	the	DET
ejpam-5303	5	4	basic	basic	ADJ
ejpam-5303	5	5	properties	property	NOUN
ejpam-5303	5	6	,	,	PUNCT
ejpam-5303	5	7	the	the	DET
ejpam-5303	5	8	structural	structural	ADJ
ejpam-5303	5	9	and	and	CCONJ
ejpam-5303	5	10	spectral	spectral	ADJ
ejpam-5303	5	11	properties	property	NOUN
ejpam-5303	5	12	and	and	CCONJ
ejpam-5303	5	13	also	also	ADV
ejpam-5303	5	14	the	the	DET
ejpam-5303	5	15	matrix	matrix	NOUN
ejpam-5303	5	16	representation	representation	NOUN
ejpam-5303	5	17	of	of	ADP
ejpam-5303	5	18	this	this	DET
ejpam-5303	5	19	new	new	ADJ
ejpam-5303	5	20	class	class	NOUN
ejpam-5303	5	21	of	of	ADP
ejpam-5303	5	22	operators	operator	NOUN
ejpam-5303	5	23	.	.	PUNCT
ejpam-5303	6	1	2020	2020	NUM
ejpam-5303	6	2	mathematics	mathematic	NOUN
ejpam-5303	6	3	subject	subject	NOUN
ejpam-5303	6	4	classifications	classification	NOUN
ejpam-5303	6	5	:	:	PUNCT
ejpam-5303	6	6	47b20	47b20	NUM
ejpam-5303	6	7	,	,	PUNCT
ejpam-5303	6	8	47b47	47b47	NOUN
ejpam-5303	6	9	,	,	PUNCT
ejpam-5303	6	10	47a10	47a10	NUM
ejpam-5303	6	11	key	key	ADJ
ejpam-5303	6	12	words	word	NOUN
ejpam-5303	6	13	and	and	CCONJ
ejpam-5303	6	14	phrases	phrase	NOUN
ejpam-5303	6	15	:	:	PUNCT
ejpam-5303	6	16	(	(	PUNCT
ejpam-5303	6	17	m	m	PROPN
ejpam-5303	6	18	,	,	PUNCT
ejpam-5303	6	19	k)−quasi	k)−quasi	ADJ
ejpam-5303	6	20	paranormal	paranormal	ADJ
ejpam-5303	6	21	operator	operator	NOUN
ejpam-5303	6	22	,	,	PUNCT
ejpam-5303	6	23	m−quasi	m−quasi	NOUN
ejpam-5303	6	24	paranormal	paranormal	ADJ
ejpam-5303	6	25	operator	operator	NOUN
ejpam-5303	6	26	,	,	PUNCT
ejpam-5303	6	27	k−quasi	k−quasi	PROPN
ejpam-5303	6	28	paranormal	paranormal	NOUN
ejpam-5303	6	29	operator	operator	NOUN
ejpam-5303	6	30	,	,	PUNCT
ejpam-5303	6	31	m−	m−	PROPN
ejpam-5303	6	32	paranormal	paranormal	NOUN
ejpam-5303	6	33	operator	operator	NOUN
ejpam-5303	6	34	,	,	PUNCT
ejpam-5303	6	35	approximate	approximate	ADJ
ejpam-5303	6	36	point	point	NOUN
ejpam-5303	6	37	spectrum	spectrum	NOUN
ejpam-5303	6	38	of	of	ADP
ejpam-5303	6	39	operator	operator	NOUN
ejpam-5303	6	40	1	1	NUM
ejpam-5303	6	41	.	.	PUNCT
ejpam-5303	7	1	introduction	introduction	NOUN
ejpam-5303	7	2	let	let	VERB
ejpam-5303	7	3	h	h	PRON
ejpam-5303	7	4	be	be	AUX
ejpam-5303	7	5	a	a	DET
ejpam-5303	7	6	complex	complex	ADJ
ejpam-5303	7	7	hilbert	hilbert	NOUN
ejpam-5303	7	8	space	space	NOUN
ejpam-5303	7	9	with	with	ADP
ejpam-5303	7	10	inner	inner	ADJ
ejpam-5303	7	11	product	product	NOUN
ejpam-5303	7	12	⟨	⟨	VERB
ejpam-5303	7	13	·	·	PUNCT
ejpam-5303	7	14	,	,	PUNCT
ejpam-5303	7	15	·	·	PUNCT
ejpam-5303	7	16	⟩.	⟩.	NOUN
ejpam-5303	7	17	let	let	VERB
ejpam-5303	7	18	l(h	l(h	PROPN
ejpam-5303	7	19	)	)	PUNCT
ejpam-5303	7	20	denote	denote	VERB
ejpam-5303	7	21	the	the	DET
ejpam-5303	7	22	c∗	c∗	PROPN
ejpam-5303	7	23	algebra	algebra	NOUN
ejpam-5303	7	24	of	of	ADP
ejpam-5303	7	25	all	all	DET
ejpam-5303	7	26	bounded	bounded	ADJ
ejpam-5303	7	27	operators	operator	NOUN
ejpam-5303	7	28	on	on	ADP
ejpam-5303	7	29	h.	h.	PROPN
ejpam-5303	7	30	for	for	ADP
ejpam-5303	7	31	an	an	DET
ejpam-5303	7	32	operator	operator	NOUN
ejpam-5303	7	33	t	t	X
ejpam-5303	7	34	∈	∈	PROPN
ejpam-5303	7	35	l(h	l(h	PROPN
ejpam-5303	7	36	)	)	PUNCT
ejpam-5303	7	37	,	,	PUNCT
ejpam-5303	7	38	by	by	ADP
ejpam-5303	7	39	kert	kert	PROPN
ejpam-5303	7	40	and	and	CCONJ
ejpam-5303	7	41	t	t	PROPN
ejpam-5303	7	42	(	(	PUNCT
ejpam-5303	7	43	h	h	NOUN
ejpam-5303	7	44	)	)	PUNCT
ejpam-5303	7	45	we	we	PRON
ejpam-5303	7	46	denote	denote	VERB
ejpam-5303	7	47	the	the	DET
ejpam-5303	7	48	null	null	ADJ
ejpam-5303	7	49	space	space	NOUN
ejpam-5303	7	50	and	and	CCONJ
ejpam-5303	7	51	the	the	DET
ejpam-5303	7	52	range	range	NOUN
ejpam-5303	7	53	of	of	ADP
ejpam-5303	7	54	t	t	PROPN
ejpam-5303	7	55	,	,	PUNCT
ejpam-5303	7	56	respectively	respectively	ADV
ejpam-5303	7	57	.	.	PUNCT
ejpam-5303	8	1	the	the	DET
ejpam-5303	8	2	null	null	ADJ
ejpam-5303	8	3	operator	operator	NOUN
ejpam-5303	8	4	will	will	AUX
ejpam-5303	8	5	be	be	AUX
ejpam-5303	8	6	denoted	denote	VERB
ejpam-5303	8	7	by	by	ADP
ejpam-5303	8	8	0	0	NUM
ejpam-5303	8	9	and	and	CCONJ
ejpam-5303	8	10	the	the	DET
ejpam-5303	8	11	identity	identity	NOUN
ejpam-5303	8	12	operator	operator	NOUN
ejpam-5303	8	13	by	by	ADP
ejpam-5303	8	14	i.	i.	PROPN
ejpam-5303	8	15	if	if	SCONJ
ejpam-5303	8	16	t	t	PROPN
ejpam-5303	8	17	is	be	AUX
ejpam-5303	8	18	an	an	DET
ejpam-5303	8	19	operator	operator	NOUN
ejpam-5303	8	20	,	,	PUNCT
ejpam-5303	8	21	then	then	ADV
ejpam-5303	8	22	t	t	PROPN
ejpam-5303	8	23	∗	∗	NOUN
ejpam-5303	8	24	is	be	AUX
ejpam-5303	8	25	its	its	PRON
ejpam-5303	8	26	adjoint	adjoint	NOUN
ejpam-5303	8	27	,	,	PUNCT
ejpam-5303	8	28	and	and	CCONJ
ejpam-5303	8	29	∥t∥	∥t∥	CCONJ
ejpam-5303	8	30	=	=	SYM
ejpam-5303	8	31	∥t	∥t	ADJ
ejpam-5303	8	32	∗∥.	∗∥.	NOUN
ejpam-5303	8	33	by	by	ADP
ejpam-5303	8	34	σ(t	σ(t	PROPN
ejpam-5303	8	35	)	)	PUNCT
ejpam-5303	8	36	,	,	PUNCT
ejpam-5303	8	37	r(t	r(t	NOUN
ejpam-5303	8	38	)	)	PUNCT
ejpam-5303	8	39	,	,	PUNCT
ejpam-5303	8	40	σa(t	σa(t	NUM
ejpam-5303	8	41	)	)	PUNCT
ejpam-5303	8	42	we	we	PRON
ejpam-5303	8	43	write	write	VERB
ejpam-5303	8	44	the	the	DET
ejpam-5303	8	45	spectrum	spectrum	NOUN
ejpam-5303	8	46	,	,	PUNCT
ejpam-5303	8	47	the	the	DET
ejpam-5303	8	48	spectral	spectral	ADJ
ejpam-5303	8	49	radius	radius	NOUN
ejpam-5303	8	50	and	and	CCONJ
ejpam-5303	8	51	the	the	DET
ejpam-5303	8	52	approximate	approximate	ADJ
ejpam-5303	8	53	point	point	NOUN
ejpam-5303	8	54	spectrum	spectrum	NOUN
ejpam-5303	8	55	of	of	ADP
ejpam-5303	8	56	t	t	PROPN
ejpam-5303	8	57	,	,	PUNCT
ejpam-5303	8	58	respectively	respectively	ADV
ejpam-5303	8	59	.	.	PUNCT
ejpam-5303	9	1	an	an	DET
ejpam-5303	9	2	operator	operator	NOUN
ejpam-5303	9	3	t	t	PROPN
ejpam-5303	9	4	∈	∈	PROPN
ejpam-5303	9	5	l(h	l(h	PROPN
ejpam-5303	9	6	)	)	PUNCT
ejpam-5303	9	7	is	be	AUX
ejpam-5303	9	8	said	say	VERB
ejpam-5303	9	9	to	to	PART
ejpam-5303	9	10	be	be	AUX
ejpam-5303	9	11	:	:	PUNCT
ejpam-5303	9	12	an	an	DET
ejpam-5303	9	13	isometry	isometry	NOUN
ejpam-5303	9	14	if	if	SCONJ
ejpam-5303	9	15	∥tx∥	∥tx∥	ADP
ejpam-5303	9	16	=	=	SYM
ejpam-5303	9	17	∥x∥	∥x∥	PROPN
ejpam-5303	9	18	,	,	PUNCT
ejpam-5303	9	19	for	for	ADP
ejpam-5303	9	20	all	all	DET
ejpam-5303	9	21	x	x	SYM
ejpam-5303	9	22	∈	∈	PROPN
ejpam-5303	9	23	h	h	NOUN
ejpam-5303	9	24	;	;	PUNCT
ejpam-5303	9	25	an	an	DET
ejpam-5303	9	26	unitary	unitary	ADJ
ejpam-5303	9	27	operator	operator	NOUN
ejpam-5303	9	28	if	if	SCONJ
ejpam-5303	9	29	t	t	PROPN
ejpam-5303	9	30	∗t	∗t	PROPN
ejpam-5303	9	31	=	=	SYM
ejpam-5303	9	32	tt	tt	PROPN
ejpam-5303	9	33	∗	∗	NOUN
ejpam-5303	9	34	=	=	PUNCT
ejpam-5303	9	35	i	i	PROPN
ejpam-5303	9	36	and	and	CCONJ
ejpam-5303	9	37	positive	positive	ADJ
ejpam-5303	9	38	operator	operator	NOUN
ejpam-5303	9	39	t	t	PROPN
ejpam-5303	9	40	≥	≥	NOUN
ejpam-5303	9	41	0	0	NUM
ejpam-5303	9	42	,	,	PUNCT
ejpam-5303	9	43	if	if	SCONJ
ejpam-5303	9	44	⟨tx	⟨tx	PROPN
ejpam-5303	9	45	,	,	PUNCT
ejpam-5303	9	46	x⟩	x⟩	PUNCT
ejpam-5303	9	47	≥	≥	NOUN
ejpam-5303	9	48	0	0	NUM
ejpam-5303	9	49	,	,	PUNCT
ejpam-5303	9	50	for	for	SCONJ
ejpam-5303	9	51	all	all	DET
ejpam-5303	9	52	x	x	SYM
ejpam-5303	9	53	∈	∈	PROPN
ejpam-5303	9	54	h	h	NOUN
ejpam-5303	9	55	(	(	PUNCT
ejpam-5303	9	56	see	see	VERB
ejpam-5303	9	57	[	[	X
ejpam-5303	9	58	4	4	NUM
ejpam-5303	9	59	]	]	PUNCT
ejpam-5303	9	60	,	,	PUNCT
ejpam-5303	9	61	[	[	X
ejpam-5303	9	62	8	8	NUM
ejpam-5303	9	63	]	]	NUM
ejpam-5303	9	64	)	)	PUNCT
ejpam-5303	9	65	.	.	PUNCT
ejpam-5303	10	1	one	one	NUM
ejpam-5303	10	2	of	of	ADP
ejpam-5303	10	3	the	the	DET
ejpam-5303	10	4	attractive	attractive	ADJ
ejpam-5303	10	5	areas	area	NOUN
ejpam-5303	10	6	of	of	ADP
ejpam-5303	10	7	research	research	NOUN
ejpam-5303	10	8	in	in	ADP
ejpam-5303	10	9	operator	operator	NOUN
ejpam-5303	10	10	theory	theory	NOUN
ejpam-5303	10	11	is	be	AUX
ejpam-5303	10	12	the	the	DET
ejpam-5303	10	13	study	study	NOUN
ejpam-5303	10	14	of	of	ADP
ejpam-5303	10	15	non	non	PRON
ejpam-5303	10	16	normal	normal	ADJ
ejpam-5303	10	17	operators	operator	NOUN
ejpam-5303	10	18	.	.	PUNCT
ejpam-5303	11	1	some	some	PRON
ejpam-5303	11	2	of	of	ADP
ejpam-5303	11	3	the	the	DET
ejpam-5303	11	4	interesting	interesting	ADJ
ejpam-5303	11	5	classes	class	NOUN
ejpam-5303	11	6	of	of	ADP
ejpam-5303	11	7	non	non	PRON
ejpam-5303	11	8	normal	normal	ADJ
ejpam-5303	11	9	operators	operator	NOUN
ejpam-5303	11	10	,	,	PUNCT
ejpam-5303	11	11	which	which	PRON
ejpam-5303	11	12	have	have	AUX
ejpam-5303	11	13	been	be	AUX
ejpam-5303	11	14	introduced	introduce	VERB
ejpam-5303	11	15	and	and	CCONJ
ejpam-5303	11	16	studied	study	VERB
ejpam-5303	11	17	before	before	ADV
ejpam-5303	11	18	are	be	AUX
ejpam-5303	11	19	paranormal	paranormal	ADJ
ejpam-5303	11	20	operator	operator	NOUN
ejpam-5303	11	21	,	,	PUNCT
ejpam-5303	11	22	m−paranormal	m−paranormal	ADJ
ejpam-5303	11	23	operators	operator	NOUN
ejpam-5303	11	24	,	,	PUNCT
ejpam-5303	11	25	k−quasi	k−quasi	X
ejpam-5303	11	26	∗corresponding	∗corresponde	VERB
ejpam-5303	11	27	author	author	NOUN
ejpam-5303	11	28	.	.	PUNCT
ejpam-5303	12	1	doi	doi	NOUN
ejpam-5303	12	2	:	:	PUNCT
ejpam-5303	12	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5303	https://doi.org/10.29020/nybg.ejpam.v17i3.5303	PUNCT
ejpam-5303	12	4	email	email	NOUN
ejpam-5303	12	5	addresses	address	NOUN
ejpam-5303	12	6	:	:	PUNCT
ejpam-5303	12	7	valdete.rexhebeqaj@uni-pr.edu	valdete.rexhebeqaj@uni-pr.edu	X
ejpam-5303	12	8	(	(	PUNCT
ejpam-5303	12	9	v.	v.	PROPN
ejpam-5303	12	10	r.	r.	PROPN
ejpam-5303	12	11	hamiti	hamiti	PROPN
ejpam-5303	12	12	)	)	PUNCT
ejpam-5303	12	13	,	,	PUNCT
ejpam-5303	12	14	shkumbin.makolli@uni-pr.edu	shkumbin.makolli@uni-pr.edu	PROPN
ejpam-5303	12	15	(	(	PUNCT
ejpam-5303	12	16	sh	sh	PROPN
ejpam-5303	12	17	.	.	PROPN
ejpam-5303	12	18	makolli	makolli	PROPN
ejpam-5303	12	19	)	)	PUNCT
ejpam-5303	12	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5303	12	21	2073	2073	NUM
ejpam-5303	12	22	©	©	ADP
ejpam-5303	12	23	2024	2024	NUM
ejpam-5303	12	24	ejpam	ejpam	NOUN
ejpam-5303	12	25	all	all	DET
ejpam-5303	12	26	rights	right	NOUN
ejpam-5303	12	27	reserved	reserve	VERB
ejpam-5303	12	28	.	.	PUNCT
ejpam-5303	13	1	v.	v.	PROPN
ejpam-5303	13	2	r.	r.	PROPN
ejpam-5303	13	3	hamiti	hamiti	PROPN
ejpam-5303	13	4	,	,	PUNCT
ejpam-5303	13	5	sh	sh	PROPN
ejpam-5303	13	6	.	.	PROPN
ejpam-5303	13	7	makolli	makolli	PROPN
ejpam-5303	13	8	/	/	SYM
ejpam-5303	13	9	eur	eur	PROPN
ejpam-5303	13	10	.	.	PUNCT
ejpam-5303	14	1	j.	j.	PROPN
ejpam-5303	14	2	pure	pure	PROPN
ejpam-5303	14	3	appl	appl	PROPN
ejpam-5303	14	4	.	.	PROPN
ejpam-5303	14	5	math	math	PROPN
ejpam-5303	14	6	,	,	PUNCT
ejpam-5303	14	7	17	17	NUM
ejpam-5303	14	8	(	(	PUNCT
ejpam-5303	14	9	3	3	NUM
ejpam-5303	14	10	)	)	PUNCT
ejpam-5303	14	11	(	(	PUNCT
ejpam-5303	14	12	2024	2024	NUM
ejpam-5303	14	13	)	)	PUNCT
ejpam-5303	14	14	,	,	PUNCT
ejpam-5303	14	15	2073	2073	NUM
ejpam-5303	14	16	-	-	SYM
ejpam-5303	14	17	2083	2083	NUM
ejpam-5303	14	18	2074	2074	NUM
ejpam-5303	14	19	paranormal	paranormal	ADJ
ejpam-5303	14	20	operators	operator	NOUN
ejpam-5303	14	21	,	,	PUNCT
ejpam-5303	14	22	m−quasi	m−quasi	X
ejpam-5303	14	23	paranormal	paranormal	ADJ
ejpam-5303	14	24	operators	operator	NOUN
ejpam-5303	14	25	,	,	PUNCT
ejpam-5303	14	26	ect	ect	ADJ
ejpam-5303	14	27	.	.	PUNCT
ejpam-5303	15	1	an	an	DET
ejpam-5303	15	2	operator	operator	NOUN
ejpam-5303	15	3	t	t	PROPN
ejpam-5303	15	4	∈	∈	PROPN
ejpam-5303	15	5	l(h	l(h	PROPN
ejpam-5303	15	6	)	)	PUNCT
ejpam-5303	15	7	is	be	AUX
ejpam-5303	15	8	said	say	VERB
ejpam-5303	15	9	to	to	PART
ejpam-5303	15	10	be	be	AUX
ejpam-5303	15	11	:	:	PUNCT
ejpam-5303	15	12	a	a	DET
ejpam-5303	15	13	paranormal	paranormal	ADJ
ejpam-5303	15	14	operator	operator	NOUN
ejpam-5303	15	15	if	if	SCONJ
ejpam-5303	15	16	∥tx∥2	∥tx∥2	NOUN
ejpam-5303	15	17	≤	≤	PUNCT
ejpam-5303	15	18	∥t	∥t	VERB
ejpam-5303	15	19	2x∥	2x∥	NOUN
ejpam-5303	15	20	for	for	ADP
ejpam-5303	15	21	any	any	DET
ejpam-5303	15	22	unit	unit	NOUN
ejpam-5303	15	23	vector	vector	NOUN
ejpam-5303	15	24	x	x	PUNCT
ejpam-5303	15	25	in	in	ADP
ejpam-5303	15	26	h	h	NOUN
ejpam-5303	15	27	(	(	PUNCT
ejpam-5303	15	28	see	see	VERB
ejpam-5303	15	29	[	[	X
ejpam-5303	15	30	2	2	NUM
ejpam-5303	15	31	]	]	PUNCT
ejpam-5303	15	32	,	,	PUNCT
ejpam-5303	15	33	[	[	X
ejpam-5303	15	34	5	5	NUM
ejpam-5303	15	35	]	]	PUNCT
ejpam-5303	15	36	,	,	PUNCT
ejpam-5303	15	37	[	[	X
ejpam-5303	15	38	6	6	NUM
ejpam-5303	15	39	]	]	PUNCT
ejpam-5303	15	40	,	,	PUNCT
ejpam-5303	15	41	[	[	X
ejpam-5303	15	42	15	15	NUM
ejpam-5303	15	43	]	]	NUM
ejpam-5303	15	44	)	)	PUNCT
ejpam-5303	15	45	;	;	PUNCT
ejpam-5303	15	46	a	a	DET
ejpam-5303	15	47	m−paranormal	m−paranormal	ADJ
ejpam-5303	15	48	operators	operator	NOUN
ejpam-5303	15	49	if	if	SCONJ
ejpam-5303	15	50	∥tx∥2	∥tx∥2	NOUN
ejpam-5303	15	51	≤	≤	NUM
ejpam-5303	15	52	m∥t	m∥t	VERB
ejpam-5303	15	53	2x∥	2x∥	NUM
ejpam-5303	15	54	for	for	ADP
ejpam-5303	15	55	any	any	DET
ejpam-5303	15	56	unit	unit	NOUN
ejpam-5303	15	57	vector	vector	NOUN
ejpam-5303	15	58	x	x	PUNCT
ejpam-5303	15	59	in	in	ADP
ejpam-5303	15	60	h	h	NOUN
ejpam-5303	15	61	and	and	CCONJ
ejpam-5303	15	62	for	for	ADP
ejpam-5303	15	63	a	a	DET
ejpam-5303	15	64	fixed	fix	VERB
ejpam-5303	15	65	real	real	ADJ
ejpam-5303	15	66	positive	positive	ADJ
ejpam-5303	15	67	number	number	NOUN
ejpam-5303	15	68	m	m	PROPN
ejpam-5303	15	69	(	(	PUNCT
ejpam-5303	15	70	see	see	VERB
ejpam-5303	15	71	[	[	X
ejpam-5303	15	72	1	1	NUM
ejpam-5303	15	73	]	]	PUNCT
ejpam-5303	15	74	,	,	PUNCT
ejpam-5303	15	75	[	[	X
ejpam-5303	15	76	3	3	NUM
ejpam-5303	15	77	]	]	PUNCT
ejpam-5303	15	78	,	,	PUNCT
ejpam-5303	15	79	[	[	X
ejpam-5303	15	80	12	12	NUM
ejpam-5303	15	81	]	]	PUNCT
ejpam-5303	15	82	)	)	PUNCT
ejpam-5303	15	83	;	;	PUNCT
ejpam-5303	15	84	a	a	DET
ejpam-5303	15	85	quasi	quasi	ADJ
ejpam-5303	15	86	paranormal	paranormal	NOUN
ejpam-5303	15	87	operators	operator	NOUN
ejpam-5303	15	88	if	if	SCONJ
ejpam-5303	15	89	∥t	∥t	ADJ
ejpam-5303	15	90	2x∥2	2x∥2	NOUN
ejpam-5303	15	91	≤	≤	X
ejpam-5303	15	92	∥t	∥t	ADJ
ejpam-5303	15	93	3x∥	3x∥	NOUN
ejpam-5303	15	94	·	·	PUNCT
ejpam-5303	15	95	∥tx∥	∥tx∥	VERB
ejpam-5303	15	96	,	,	PUNCT
ejpam-5303	15	97	for	for	ADP
ejpam-5303	15	98	all	all	DET
ejpam-5303	15	99	x	x	SYM
ejpam-5303	15	100	∈	∈	PROPN
ejpam-5303	15	101	h	h	NOUN
ejpam-5303	15	102	(	(	PUNCT
ejpam-5303	15	103	see	see	VERB
ejpam-5303	15	104	[	[	X
ejpam-5303	15	105	10	10	NUM
ejpam-5303	15	106	]	]	NUM
ejpam-5303	15	107	)	)	PUNCT
ejpam-5303	15	108	;	;	PUNCT
ejpam-5303	15	109	a	a	DET
ejpam-5303	15	110	k−quasi	k−quasi	PROPN
ejpam-5303	15	111	paranormal	paranormal	ADJ
ejpam-5303	15	112	operators	operator	NOUN
ejpam-5303	15	113	if	if	SCONJ
ejpam-5303	15	114	∥t	∥t	ADJ
ejpam-5303	15	115	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	15	116	≤	≤	X
ejpam-5303	15	117	∥t	∥t	ADJ
ejpam-5303	15	118	k+2x∥	k+2x∥	NOUN
ejpam-5303	15	119	·	·	PUNCT
ejpam-5303	15	120	∥t	∥t	PROPN
ejpam-5303	15	121	kx∥	kx∥	PROPN
ejpam-5303	15	122	,	,	PUNCT
ejpam-5303	15	123	for	for	ADP
ejpam-5303	15	124	all	all	DET
ejpam-5303	15	125	x	x	SYM
ejpam-5303	15	126	∈	∈	PROPN
ejpam-5303	15	127	h	h	NOUN
ejpam-5303	15	128	and	and	CCONJ
ejpam-5303	15	129	for	for	ADP
ejpam-5303	15	130	a	a	DET
ejpam-5303	15	131	positive	positive	ADJ
ejpam-5303	15	132	integer	integer	NOUN
ejpam-5303	15	133	k	k	PROPN
ejpam-5303	15	134	(	(	PUNCT
ejpam-5303	15	135	see	see	VERB
ejpam-5303	15	136	[	[	X
ejpam-5303	15	137	7	7	NUM
ejpam-5303	15	138	]	]	PUNCT
ejpam-5303	15	139	,	,	PUNCT
ejpam-5303	15	140	[	[	X
ejpam-5303	15	141	13	13	NUM
ejpam-5303	15	142	]	]	NUM
ejpam-5303	15	143	)	)	PUNCT
ejpam-5303	15	144	;	;	PUNCT
ejpam-5303	15	145	a	a	DET
ejpam-5303	15	146	m−quasi	m−quasi	NOUN
ejpam-5303	15	147	paranormal	paranormal	ADJ
ejpam-5303	15	148	operators	operator	NOUN
ejpam-5303	15	149	if	if	SCONJ
ejpam-5303	15	150	∥t	∥t	PRON
ejpam-5303	15	151	2x∥2	2x∥2	NOUN
ejpam-5303	15	152	≤	≤	NUM
ejpam-5303	15	153	m∥t	m∥t	VERB
ejpam-5303	15	154	3x∥	3x∥	NUM
ejpam-5303	15	155	·	·	PUNCT
ejpam-5303	16	1	∥tx∥	∥tx∥	ADV
ejpam-5303	16	2	,	,	PUNCT
ejpam-5303	16	3	for	for	ADP
ejpam-5303	16	4	all	all	DET
ejpam-5303	16	5	x	x	SYM
ejpam-5303	16	6	∈	∈	PROPN
ejpam-5303	16	7	h	h	NOUN
ejpam-5303	16	8	and	and	CCONJ
ejpam-5303	16	9	for	for	ADP
ejpam-5303	16	10	a	a	DET
ejpam-5303	16	11	fixed	fix	VERB
ejpam-5303	16	12	real	real	ADJ
ejpam-5303	16	13	positive	positive	ADJ
ejpam-5303	16	14	number	number	NOUN
ejpam-5303	16	15	m	m	PROPN
ejpam-5303	16	16	(	(	PUNCT
ejpam-5303	16	17	see	see	VERB
ejpam-5303	16	18	[	[	X
ejpam-5303	16	19	9	9	NUM
ejpam-5303	16	20	]	]	NUM
ejpam-5303	16	21	)	)	PUNCT
ejpam-5303	16	22	.	.	PUNCT
ejpam-5303	17	1	in	in	ADP
ejpam-5303	17	2	the	the	DET
ejpam-5303	17	3	present	present	ADJ
ejpam-5303	17	4	paper	paper	NOUN
ejpam-5303	17	5	,	,	PUNCT
ejpam-5303	17	6	we	we	PRON
ejpam-5303	17	7	introduce	introduce	VERB
ejpam-5303	17	8	a	a	DET
ejpam-5303	17	9	new	new	ADJ
ejpam-5303	17	10	class	class	NOUN
ejpam-5303	17	11	of	of	ADP
ejpam-5303	17	12	operators	operator	NOUN
ejpam-5303	17	13	(	(	PUNCT
ejpam-5303	17	14	m	m	PROPN
ejpam-5303	17	15	,	,	PUNCT
ejpam-5303	17	16	k)−quasi	k)−quasi	NOUN
ejpam-5303	17	17	paranormal	paranormal	NOUN
ejpam-5303	17	18	as	as	ADP
ejpam-5303	17	19	a	a	DET
ejpam-5303	17	20	generalization	generalization	NOUN
ejpam-5303	17	21	of	of	ADP
ejpam-5303	17	22	these	these	DET
ejpam-5303	17	23	non	non	PRON
ejpam-5303	17	24	normal	normal	ADJ
ejpam-5303	17	25	classes	class	NOUN
ejpam-5303	17	26	of	of	ADP
ejpam-5303	17	27	operators	operator	NOUN
ejpam-5303	17	28	.	.	PUNCT
ejpam-5303	18	1	the	the	DET
ejpam-5303	18	2	purpose	purpose	NOUN
ejpam-5303	18	3	of	of	ADP
ejpam-5303	18	4	this	this	DET
ejpam-5303	18	5	paper	paper	NOUN
ejpam-5303	18	6	is	be	AUX
ejpam-5303	18	7	,	,	PUNCT
ejpam-5303	18	8	first	first	ADV
ejpam-5303	18	9	to	to	PART
ejpam-5303	18	10	give	give	VERB
ejpam-5303	18	11	some	some	DET
ejpam-5303	18	12	properties	property	NOUN
ejpam-5303	18	13	of	of	ADP
ejpam-5303	18	14	this	this	DET
ejpam-5303	18	15	new	new	ADJ
ejpam-5303	18	16	class	class	NOUN
ejpam-5303	18	17	of	of	ADP
ejpam-5303	18	18	operators	operator	NOUN
ejpam-5303	18	19	,	,	PUNCT
ejpam-5303	18	20	to	to	PART
ejpam-5303	18	21	compare	compare	VERB
ejpam-5303	18	22	this	this	DET
ejpam-5303	18	23	class	class	NOUN
ejpam-5303	18	24	with	with	ADP
ejpam-5303	18	25	the	the	DET
ejpam-5303	18	26	other	other	ADJ
ejpam-5303	18	27	non	non	PRON
ejpam-5303	18	28	normal	normal	ADJ
ejpam-5303	18	29	classes	class	NOUN
ejpam-5303	18	30	of	of	ADP
ejpam-5303	18	31	operators	operator	NOUN
ejpam-5303	18	32	and	and	CCONJ
ejpam-5303	18	33	also	also	ADV
ejpam-5303	18	34	to	to	PART
ejpam-5303	18	35	study	study	VERB
ejpam-5303	18	36	the	the	DET
ejpam-5303	18	37	structural	structural	ADJ
ejpam-5303	18	38	and	and	CCONJ
ejpam-5303	18	39	spectral	spectral	ADJ
ejpam-5303	18	40	properties	property	NOUN
ejpam-5303	18	41	of	of	ADP
ejpam-5303	18	42	this	this	DET
ejpam-5303	18	43	class	class	NOUN
ejpam-5303	18	44	of	of	ADP
ejpam-5303	18	45	operators	operator	NOUN
ejpam-5303	18	46	.	.	PUNCT
ejpam-5303	19	1	2	2	X
ejpam-5303	19	2	.	.	X
ejpam-5303	19	3	definition	definition	NOUN
ejpam-5303	19	4	and	and	CCONJ
ejpam-5303	19	5	some	some	DET
ejpam-5303	19	6	properties	property	NOUN
ejpam-5303	19	7	definition	definition	NOUN
ejpam-5303	19	8	1	1	NUM
ejpam-5303	19	9	.	.	PUNCT
ejpam-5303	20	1	an	an	DET
ejpam-5303	20	2	operator	operator	NOUN
ejpam-5303	20	3	t	t	PROPN
ejpam-5303	20	4	∈	∈	PROPN
ejpam-5303	20	5	l(h	l(h	PROPN
ejpam-5303	20	6	)	)	PUNCT
ejpam-5303	20	7	is	be	AUX
ejpam-5303	20	8	said	say	VERB
ejpam-5303	20	9	to	to	PART
ejpam-5303	20	10	be	be	AUX
ejpam-5303	20	11	a	a	DET
ejpam-5303	20	12	(	(	PUNCT
ejpam-5303	20	13	m	m	PROPN
ejpam-5303	20	14	,	,	PUNCT
ejpam-5303	20	15	k)−quasi	k)−quasi	ADJ
ejpam-5303	20	16	paranormal	paranormal	ADJ
ejpam-5303	20	17	operator	operator	NOUN
ejpam-5303	20	18	,	,	PUNCT
ejpam-5303	20	19	for	for	ADP
ejpam-5303	20	20	a	a	DET
ejpam-5303	20	21	non	non	ADJ
ejpam-5303	20	22	negative	negative	ADJ
ejpam-5303	20	23	integer	integer	NOUN
ejpam-5303	20	24	k	k	PROPN
ejpam-5303	20	25	and	and	CCONJ
ejpam-5303	20	26	a	a	DET
ejpam-5303	20	27	real	real	ADJ
ejpam-5303	20	28	positive	positive	ADJ
ejpam-5303	20	29	number	number	NOUN
ejpam-5303	20	30	m	m	VERB
ejpam-5303	20	31	if	if	SCONJ
ejpam-5303	20	32	it	it	PRON
ejpam-5303	20	33	satisfies	satisfy	VERB
ejpam-5303	20	34	∥t	∥t	ADJ
ejpam-5303	20	35	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	20	36	≤	≤	NUM
ejpam-5303	20	37	m∥t	m∥t	VERB
ejpam-5303	20	38	k+2x∥	k+2x∥	PROPN
ejpam-5303	20	39	·	·	PUNCT
ejpam-5303	20	40	∥t	∥t	PROPN
ejpam-5303	20	41	kx∥	kx∥	PROPN
ejpam-5303	20	42	,	,	PUNCT
ejpam-5303	20	43	for	for	ADP
ejpam-5303	20	44	all	all	DET
ejpam-5303	20	45	x	x	SYM
ejpam-5303	20	46	∈	∈	PROPN
ejpam-5303	20	47	h.	h.	NOUN
ejpam-5303	20	48	this	this	DET
ejpam-5303	20	49	definition	definition	NOUN
ejpam-5303	20	50	is	be	AUX
ejpam-5303	20	51	equivalent	equivalent	ADJ
ejpam-5303	20	52	to	to	ADP
ejpam-5303	20	53	t	t	PROPN
ejpam-5303	20	54	∗k(m2	∗k(m2	PROPN
ejpam-5303	20	55	t	t	PROPN
ejpam-5303	20	56	∗2	∗2	PROPN
ejpam-5303	20	57	t	t	PROPN
ejpam-5303	20	58	2	2	NUM
ejpam-5303	20	59	−	−	NOUN
ejpam-5303	20	60	2λt	2λt	ADJ
ejpam-5303	20	61	∗t	∗t	ADJ
ejpam-5303	20	62	+	+	CCONJ
ejpam-5303	20	63	λ2)t	λ2)t	PROPN
ejpam-5303	20	64	k	k	PROPN
ejpam-5303	20	65	≥	≥	NUM
ejpam-5303	20	66	0	0	NUM
ejpam-5303	20	67	,	,	PUNCT
ejpam-5303	20	68	for	for	ADP
ejpam-5303	20	69	all	all	DET
ejpam-5303	20	70	λ	λ	PROPN
ejpam-5303	20	71	>	>	X
ejpam-5303	20	72	0	0	X
ejpam-5303	20	73	.	.	PUNCT
ejpam-5303	21	1	similarly	similarly	ADV
ejpam-5303	21	2	as	as	ADP
ejpam-5303	21	3	[	[	X
ejpam-5303	21	4	9	9	NUM
ejpam-5303	21	5	,	,	PUNCT
ejpam-5303	21	6	proposition	proposition	NOUN
ejpam-5303	21	7	2	2	NUM
ejpam-5303	21	8	]	]	PUNCT
ejpam-5303	21	9	.	.	PUNCT
ejpam-5303	21	10	example	example	NOUN
ejpam-5303	22	1	1	1	NUM
ejpam-5303	22	2	.	.	PUNCT
ejpam-5303	23	1	on	on	ADP
ejpam-5303	23	2	the	the	DET
ejpam-5303	23	3	usual	usual	ADJ
ejpam-5303	23	4	hilbert	hilbert	NOUN
ejpam-5303	23	5	space	space	NOUN
ejpam-5303	23	6	l2	l2	NOUN
ejpam-5303	23	7	,	,	PUNCT
ejpam-5303	23	8	let	let	VERB
ejpam-5303	23	9	t	t	NOUN
ejpam-5303	23	10	be	be	AUX
ejpam-5303	23	11	a	a	DET
ejpam-5303	23	12	weighted	weight	VERB
ejpam-5303	23	13	shift	shift	NOUN
ejpam-5303	23	14	operator	operator	NOUN
ejpam-5303	23	15	,	,	PUNCT
ejpam-5303	23	16	defined	define	VERB
ejpam-5303	23	17	by	by	ADP
ejpam-5303	23	18	t	t	PROPN
ejpam-5303	23	19	(	(	PUNCT
ejpam-5303	23	20	en	en	X
ejpam-5303	23	21	)	)	PUNCT
ejpam-5303	24	1	=	=	SYM
ejpam-5303	24	2	|αn|en+1	|αn|en+1	VERB
ejpam-5303	24	3	,	,	PUNCT
ejpam-5303	24	4	where	where	SCONJ
ejpam-5303	24	5	(	(	PUNCT
ejpam-5303	24	6	en	en	X
ejpam-5303	24	7	)	)	PUNCT
ejpam-5303	24	8	is	be	AUX
ejpam-5303	24	9	the	the	DET
ejpam-5303	24	10	standard	standard	ADJ
ejpam-5303	24	11	basis	basis	NOUN
ejpam-5303	24	12	and	and	CCONJ
ejpam-5303	24	13	(	(	PUNCT
ejpam-5303	24	14	αn	αn	NOUN
ejpam-5303	24	15	)	)	PUNCT
ejpam-5303	24	16	is	be	AUX
ejpam-5303	24	17	a	a	DET
ejpam-5303	24	18	decreasing	decrease	VERB
ejpam-5303	24	19	weighted	weight	VERB
ejpam-5303	24	20	sequence	sequence	NOUN
ejpam-5303	24	21	.	.	PUNCT
ejpam-5303	25	1	then	then	ADV
ejpam-5303	25	2	,	,	PUNCT
ejpam-5303	25	3	t	t	PROPN
ejpam-5303	25	4	is	be	AUX
ejpam-5303	25	5	a	a	DET
ejpam-5303	25	6	(	(	PUNCT
ejpam-5303	25	7	m	m	PROPN
ejpam-5303	25	8	,	,	PUNCT
ejpam-5303	25	9	k)−quasi	k)−quasi	ADJ
ejpam-5303	25	10	paranormal	paranormal	ADJ
ejpam-5303	25	11	operator	operator	NOUN
ejpam-5303	25	12	if	if	SCONJ
ejpam-5303	26	1	and	and	CCONJ
ejpam-5303	26	2	only	only	ADV
ejpam-5303	26	3	if	if	SCONJ
ejpam-5303	26	4	|αn+k|	|αn+k|	PROPN
ejpam-5303	26	5	≤	≤	PUNCT
ejpam-5303	26	6	m	m	VERB
ejpam-5303	26	7	|αn+k+1|	|αn+k+1|	NOUN
ejpam-5303	26	8	for	for	ADP
ejpam-5303	26	9	every	every	DET
ejpam-5303	26	10	n.	n.	NOUN
ejpam-5303	26	11	since	since	SCONJ
ejpam-5303	26	12	t	t	PROPN
ejpam-5303	26	13	is	be	AUX
ejpam-5303	26	14	a	a	DET
ejpam-5303	26	15	weighted	weighted	ADJ
ejpam-5303	26	16	shift	shift	NOUN
ejpam-5303	26	17	,	,	PUNCT
ejpam-5303	26	18	its	its	PRON
ejpam-5303	26	19	adjoint	adjoint	NOUN
ejpam-5303	26	20	t	t	PROPN
ejpam-5303	26	21	∗	∗	NOUN
ejpam-5303	26	22	is	be	AUX
ejpam-5303	26	23	also	also	ADV
ejpam-5303	26	24	a	a	DET
ejpam-5303	26	25	weighted	weighted	ADJ
ejpam-5303	26	26	shift	shift	NOUN
ejpam-5303	26	27	and	and	CCONJ
ejpam-5303	26	28	we	we	PRON
ejpam-5303	26	29	have	have	VERB
ejpam-5303	26	30	:	:	PUNCT
ejpam-5303	26	31	t	t	PROPN
ejpam-5303	26	32	∗(en	∗(en	NOUN
ejpam-5303	26	33	)	)	PUNCT
ejpam-5303	26	34	=	=	SYM
ejpam-5303	27	1	|αn−1|en−1	|αn−1|en−1	PROPN
ejpam-5303	27	2	,	,	PUNCT
ejpam-5303	27	3	(	(	PUNCT
ejpam-5303	27	4	t	t	NOUN
ejpam-5303	27	5	∗t	∗t	PROPN
ejpam-5303	27	6	)	)	PUNCT
ejpam-5303	27	7	(	(	PUNCT
ejpam-5303	27	8	en	en	X
ejpam-5303	27	9	)	)	PUNCT
ejpam-5303	27	10	=	=	SYM
ejpam-5303	27	11	α2	α2	PROPN
ejpam-5303	27	12	nen	nen	PROPN
ejpam-5303	27	13	,	,	PUNCT
ejpam-5303	27	14	(	(	PUNCT
ejpam-5303	27	15	t	t	PROPN
ejpam-5303	27	16	∗2	∗2	PROPN
ejpam-5303	27	17	t	t	PROPN
ejpam-5303	27	18	2)(en	2)(en	NUM
ejpam-5303	27	19	)	)	PUNCT
ejpam-5303	27	20	=	=	VERB
ejpam-5303	28	1	α2	α2	ADJ
ejpam-5303	28	2	nα	nα	VERB
ejpam-5303	28	3	2	2	NUM
ejpam-5303	28	4	n+1en	n+1en	NOUN
ejpam-5303	28	5	,	,	PUNCT
ejpam-5303	28	6	...	...	PUNCT
ejpam-5303	28	7	(	(	PUNCT
ejpam-5303	28	8	t	t	PROPN
ejpam-5303	28	9	∗(k+2)t	∗(k+2)t	NUM
ejpam-5303	28	10	k+2)(en	k+2)(en	NOUN
ejpam-5303	28	11	)	)	PUNCT
ejpam-5303	28	12	=	=	VERB
ejpam-5303	29	1	α2	α2	ADJ
ejpam-5303	29	2	nα	nα	VERB
ejpam-5303	29	3	2	2	NUM
ejpam-5303	29	4	n+1	n+1	NUM
ejpam-5303	29	5	...	...	PUNCT
ejpam-5303	29	6	α	α	PROPN
ejpam-5303	29	7	2	2	NUM
ejpam-5303	29	8	n+kα	n+kα	NOUN
ejpam-5303	29	9	2	2	NUM
ejpam-5303	29	10	n+k+1en	n+k+1en	NOUN
ejpam-5303	29	11	.	.	PUNCT
ejpam-5303	30	1	now	now	ADV
ejpam-5303	30	2	,	,	PUNCT
ejpam-5303	30	3	since	since	SCONJ
ejpam-5303	30	4	t	t	PROPN
ejpam-5303	30	5	is	be	AUX
ejpam-5303	30	6	a	a	DET
ejpam-5303	30	7	(	(	PUNCT
ejpam-5303	30	8	m	m	PROPN
ejpam-5303	30	9	,	,	PUNCT
ejpam-5303	30	10	k)−quasi	k)−quasi	ADJ
ejpam-5303	30	11	paranormal	paranormal	ADJ
ejpam-5303	30	12	operator	operator	NOUN
ejpam-5303	30	13	then	then	ADV
ejpam-5303	30	14	,	,	PUNCT
ejpam-5303	30	15	m2	m2	PROPN
ejpam-5303	30	16	t	t	PROPN
ejpam-5303	30	17	∗(k+2)t	∗(k+2)t	PROPN
ejpam-5303	30	18	(	(	PUNCT
ejpam-5303	30	19	k+2	k+2	NOUN
ejpam-5303	30	20	)	)	PUNCT
ejpam-5303	31	1	−	−	PROPN
ejpam-5303	31	2	2λt	2λt	PROPN
ejpam-5303	31	3	∗(k+1)t	∗(k+1)t	PROPN
ejpam-5303	31	4	(	(	PUNCT
ejpam-5303	31	5	k+1	k+1	NOUN
ejpam-5303	31	6	)	)	PUNCT
ejpam-5303	31	7	+	+	SYM
ejpam-5303	31	8	λ2	λ2	PROPN
ejpam-5303	31	9	t	t	NOUN
ejpam-5303	31	10	∗kt	∗kt	NUM
ejpam-5303	31	11	k	k	X
ejpam-5303	31	12	≥	≥	PROPN
ejpam-5303	31	13	0	0	NUM
ejpam-5303	31	14	,	,	PUNCT
ejpam-5303	31	15	for	for	ADP
ejpam-5303	31	16	all	all	DET
ejpam-5303	31	17	λ	λ	PROPN
ejpam-5303	31	18	>	>	X
ejpam-5303	31	19	0	0	NUM
ejpam-5303	31	20	⇔	⇔	PROPN
ejpam-5303	31	21	v.	v.	PROPN
ejpam-5303	31	22	r.	r.	PROPN
ejpam-5303	31	23	hamiti	hamiti	PROPN
ejpam-5303	31	24	,	,	PUNCT
ejpam-5303	31	25	sh	sh	PROPN
ejpam-5303	31	26	.	.	PROPN
ejpam-5303	31	27	makolli	makolli	PROPN
ejpam-5303	31	28	/	/	SYM
ejpam-5303	31	29	eur	eur	PROPN
ejpam-5303	31	30	.	.	PUNCT
ejpam-5303	32	1	j.	j.	PROPN
ejpam-5303	32	2	pure	pure	PROPN
ejpam-5303	32	3	appl	appl	PROPN
ejpam-5303	32	4	.	.	PROPN
ejpam-5303	32	5	math	math	PROPN
ejpam-5303	32	6	,	,	PUNCT
ejpam-5303	32	7	17	17	NUM
ejpam-5303	32	8	(	(	PUNCT
ejpam-5303	32	9	3	3	NUM
ejpam-5303	32	10	)	)	PUNCT
ejpam-5303	32	11	(	(	PUNCT
ejpam-5303	32	12	2024	2024	NUM
ejpam-5303	32	13	)	)	PUNCT
ejpam-5303	32	14	,	,	PUNCT
ejpam-5303	32	15	2073	2073	NUM
ejpam-5303	32	16	-	-	SYM
ejpam-5303	32	17	2083	2083	NUM
ejpam-5303	32	18	2075	2075	NUM
ejpam-5303	32	19	m2α2	m2α2	NOUN
ejpam-5303	32	20	nα	nα	PRON
ejpam-5303	32	21	2	2	NUM
ejpam-5303	32	22	n+1	n+1	NUM
ejpam-5303	32	23	...	...	PUNCT
ejpam-5303	32	24	α	α	PROPN
ejpam-5303	32	25	2	2	NUM
ejpam-5303	32	26	n+kα	n+kα	NOUN
ejpam-5303	32	27	2	2	NUM
ejpam-5303	32	28	n+k+1	n+k+1	NOUN
ejpam-5303	32	29	−	−	PROPN
ejpam-5303	32	30	2λα2	2λα2	NUM
ejpam-5303	32	31	nα	nα	PROPN
ejpam-5303	32	32	2	2	NUM
ejpam-5303	32	33	n+1	n+1	NUM
ejpam-5303	32	34	...	...	PUNCT
ejpam-5303	32	35	α	α	PROPN
ejpam-5303	32	36	2	2	NUM
ejpam-5303	32	37	n+k	n+k	PROPN
ejpam-5303	32	38	+	+	CCONJ
ejpam-5303	32	39	λ2α2	λ2α2	ADP
ejpam-5303	32	40	nα	nα	VERB
ejpam-5303	32	41	2	2	NUM
ejpam-5303	32	42	n+1	n+1	NUM
ejpam-5303	32	43	...	...	PUNCT
ejpam-5303	32	44	α	α	PROPN
ejpam-5303	32	45	2	2	NUM
ejpam-5303	32	46	n+k−1	n+k−1	PROPN
ejpam-5303	32	47	≥	≥	NOUN
ejpam-5303	32	48	0	0	NUM
ejpam-5303	32	49	,	,	PUNCT
ejpam-5303	32	50	for	for	ADP
ejpam-5303	32	51	all	all	DET
ejpam-5303	32	52	λ	λ	PROPN
ejpam-5303	32	53	>	>	X
ejpam-5303	32	54	0	0	NUM
ejpam-5303	32	55	⇔	⇔	X
ejpam-5303	32	56	α2	α2	PROPN
ejpam-5303	32	57	nα	nα	ADP
ejpam-5303	32	58	2	2	NUM
ejpam-5303	32	59	n+1	n+1	NUM
ejpam-5303	32	60	...	...	PUNCT
ejpam-5303	32	61	α	α	NOUN
ejpam-5303	32	62	2	2	NUM
ejpam-5303	32	63	n+k−1(m	n+k−1(m	NOUN
ejpam-5303	32	64	2α2	2α2	NUM
ejpam-5303	32	65	n+kα	n+kα	NOUN
ejpam-5303	32	66	2	2	NUM
ejpam-5303	32	67	n+k+1	n+k+1	NOUN
ejpam-5303	32	68	−	−	PROPN
ejpam-5303	32	69	2λα2	2λα2	NUM
ejpam-5303	32	70	n+k	n+k	PROPN
ejpam-5303	33	1	+	+	CCONJ
ejpam-5303	33	2	λ2	λ2	PROPN
ejpam-5303	33	3	)	)	PUNCT
ejpam-5303	33	4	≥	≥	NOUN
ejpam-5303	33	5	0	0	NUM
ejpam-5303	33	6	,	,	PUNCT
ejpam-5303	33	7	for	for	ADP
ejpam-5303	33	8	all	all	DET
ejpam-5303	33	9	λ	λ	PROPN
ejpam-5303	33	10	>	>	X
ejpam-5303	33	11	0	0	NUM
ejpam-5303	34	1	⇔	⇔	X
ejpam-5303	34	2	m2α2	m2α2	PROPN
ejpam-5303	34	3	n+kα	n+kα	PROPN
ejpam-5303	34	4	2	2	NUM
ejpam-5303	34	5	n+k+1	n+k+1	NOUN
ejpam-5303	34	6	−	−	PROPN
ejpam-5303	34	7	2λα2	2λα2	NUM
ejpam-5303	34	8	n+k	n+k	PROPN
ejpam-5303	35	1	+	+	CCONJ
ejpam-5303	35	2	λ2	λ2	NOUN
ejpam-5303	35	3	≥	≥	NOUN
ejpam-5303	35	4	0	0	NUM
ejpam-5303	35	5	,	,	PUNCT
ejpam-5303	35	6	for	for	ADP
ejpam-5303	35	7	all	all	DET
ejpam-5303	35	8	λ	λ	PROPN
ejpam-5303	35	9	>	>	X
ejpam-5303	35	10	0	0	NUM
ejpam-5303	35	11	.	.	PUNCT
ejpam-5303	36	1	by	by	ADP
ejpam-5303	36	2	elementary	elementary	ADJ
ejpam-5303	36	3	properties	property	NOUN
ejpam-5303	36	4	of	of	ADP
ejpam-5303	36	5	real	real	ADJ
ejpam-5303	36	6	quadratic	quadratic	ADJ
ejpam-5303	36	7	forms	form	NOUN
ejpam-5303	36	8	,	,	PUNCT
ejpam-5303	36	9	this	this	PRON
ejpam-5303	36	10	gives	give	VERB
ejpam-5303	36	11	4α4	4α4	PRON
ejpam-5303	36	12	n+k	n+k	PUNCT
ejpam-5303	36	13	−	−	PROPN
ejpam-5303	36	14	4m2α2	4m2α2	NUM
ejpam-5303	36	15	n+kα	n+kα	NOUN
ejpam-5303	36	16	2	2	NUM
ejpam-5303	36	17	n+k+1	n+k+1	NOUN
ejpam-5303	36	18	≤	≤	NOUN
ejpam-5303	36	19	0	0	NUM
ejpam-5303	37	1	|αn+k|	|αn+k|	PROPN
ejpam-5303	37	2	≤	≤	NUM
ejpam-5303	37	3	m	m	VERB
ejpam-5303	37	4	|αn+k+1|	|αn+k+1|	NOUN
ejpam-5303	37	5	.	.	PUNCT
ejpam-5303	38	1	from	from	ADP
ejpam-5303	38	2	definition	definition	NOUN
ejpam-5303	38	3	it	it	PRON
ejpam-5303	38	4	is	be	AUX
ejpam-5303	38	5	clear	clear	ADJ
ejpam-5303	38	6	that	that	SCONJ
ejpam-5303	38	7	this	this	DET
ejpam-5303	38	8	class	class	NOUN
ejpam-5303	38	9	of	of	ADP
ejpam-5303	38	10	operators	operator	NOUN
ejpam-5303	38	11	is	be	AUX
ejpam-5303	38	12	nested	nest	VERB
ejpam-5303	38	13	with	with	ADP
ejpam-5303	38	14	respect	respect	NOUN
ejpam-5303	38	15	to	to	ADP
ejpam-5303	38	16	m	m	PRON
ejpam-5303	38	17	,	,	PUNCT
ejpam-5303	38	18	i.e.	i.e.	X
ejpam-5303	38	19	,	,	PUNCT
ejpam-5303	38	20	a	a	DET
ejpam-5303	38	21	(	(	PUNCT
ejpam-5303	38	22	m1	m1	NOUN
ejpam-5303	38	23	,	,	PUNCT
ejpam-5303	38	24	k)−quasi	k)−quasi	PROPN
ejpam-5303	38	25	paranormal	paranormal	ADJ
ejpam-5303	38	26	operator	operator	NOUN
ejpam-5303	38	27	is	be	AUX
ejpam-5303	38	28	(	(	PUNCT
ejpam-5303	38	29	m2	m2	PROPN
ejpam-5303	38	30	,	,	PUNCT
ejpam-5303	38	31	k)−quasi	k)−quasi	PROPN
ejpam-5303	38	32	paranormal	paranormal	ADJ
ejpam-5303	38	33	operator	operator	NOUN
ejpam-5303	38	34	for	for	ADP
ejpam-5303	38	35	0	0	NUM
ejpam-5303	38	36	<	<	X
ejpam-5303	38	37	m1	m1	PROPN
ejpam-5303	38	38	<	<	X
ejpam-5303	38	39	m2	m2	PROPN
ejpam-5303	38	40	.	.	PROPN
ejpam-5303	39	1	from	from	ADP
ejpam-5303	39	2	the	the	DET
ejpam-5303	39	3	above	above	ADJ
ejpam-5303	39	4	definition	definition	NOUN
ejpam-5303	39	5	,	,	PUNCT
ejpam-5303	39	6	the	the	DET
ejpam-5303	39	7	following	follow	VERB
ejpam-5303	39	8	facts	fact	NOUN
ejpam-5303	39	9	follows	follow	VERB
ejpam-5303	39	10	:	:	PUNCT
ejpam-5303	39	11	for	for	ADP
ejpam-5303	39	12	m	m	PROPN
ejpam-5303	39	13	=	=	SYM
ejpam-5303	39	14	1	1	NUM
ejpam-5303	39	15	,	,	PUNCT
ejpam-5303	39	16	a	a	DET
ejpam-5303	39	17	(	(	PUNCT
ejpam-5303	39	18	1	1	NUM
ejpam-5303	39	19	,	,	PUNCT
ejpam-5303	39	20	k)−quasi	k)−quasi	PRON
ejpam-5303	39	21	paranormal	paranormal	ADJ
ejpam-5303	39	22	operator	operator	NOUN
ejpam-5303	39	23	is	be	AUX
ejpam-5303	39	24	a	a	DET
ejpam-5303	39	25	k−quasi	k−quasi	NOUN
ejpam-5303	39	26	paranormal	paranormal	ADJ
ejpam-5303	39	27	operator	operator	NOUN
ejpam-5303	39	28	;	;	PUNCT
ejpam-5303	39	29	for	for	ADP
ejpam-5303	39	30	k	k	PROPN
ejpam-5303	39	31	=	=	SYM
ejpam-5303	39	32	1	1	NUM
ejpam-5303	39	33	,	,	PUNCT
ejpam-5303	39	34	a	a	DET
ejpam-5303	39	35	(	(	PUNCT
ejpam-5303	39	36	m	m	PROPN
ejpam-5303	39	37	,	,	PUNCT
ejpam-5303	39	38	1)−quasi	1)−quasi	PROPN
ejpam-5303	39	39	paranormal	paranormal	NOUN
ejpam-5303	39	40	operator	operator	NOUN
ejpam-5303	39	41	is	be	AUX
ejpam-5303	39	42	a	a	DET
ejpam-5303	39	43	m−quasi	m−quasi	NOUN
ejpam-5303	39	44	paranormal	paranormal	ADJ
ejpam-5303	39	45	operator	operator	NOUN
ejpam-5303	39	46	;	;	PUNCT
ejpam-5303	39	47	for	for	ADP
ejpam-5303	39	48	k	k	PROPN
ejpam-5303	39	49	=	=	SYM
ejpam-5303	39	50	0	0	PROPN
ejpam-5303	39	51	,	,	PUNCT
ejpam-5303	39	52	a	a	DET
ejpam-5303	39	53	(	(	PUNCT
ejpam-5303	39	54	m	m	PROPN
ejpam-5303	39	55	,	,	PUNCT
ejpam-5303	39	56	0)−quasi	0)−quasi	NOUN
ejpam-5303	39	57	paranormal	paranormal	ADJ
ejpam-5303	39	58	operator	operator	NOUN
ejpam-5303	39	59	is	be	AUX
ejpam-5303	39	60	a	a	DET
ejpam-5303	39	61	m−paranormal	m−paranormal	ADJ
ejpam-5303	39	62	operator	operator	NOUN
ejpam-5303	39	63	for	for	ADP
ejpam-5303	39	64	any	any	DET
ejpam-5303	39	65	unit	unit	NOUN
ejpam-5303	39	66	vector	vector	NOUN
ejpam-5303	39	67	x	x	PUNCT
ejpam-5303	39	68	in	in	ADP
ejpam-5303	39	69	h	h	NOUN
ejpam-5303	39	70	;	;	PUNCT
ejpam-5303	39	71	for	for	ADP
ejpam-5303	39	72	m	m	PROPN
ejpam-5303	39	73	=	=	SYM
ejpam-5303	39	74	1	1	NUM
ejpam-5303	39	75	,	,	PUNCT
ejpam-5303	39	76	k	k	NOUN
ejpam-5303	39	77	=	=	SYM
ejpam-5303	39	78	0	0	PROPN
ejpam-5303	39	79	,	,	PUNCT
ejpam-5303	39	80	a	a	DET
ejpam-5303	39	81	(	(	PUNCT
ejpam-5303	39	82	1	1	NUM
ejpam-5303	39	83	,	,	PUNCT
ejpam-5303	39	84	0)−quasi	0)−quasi	NOUN
ejpam-5303	39	85	paranormal	paranormal	ADJ
ejpam-5303	39	86	operator	operator	NOUN
ejpam-5303	39	87	is	be	AUX
ejpam-5303	39	88	a	a	DET
ejpam-5303	39	89	paranormal	paranormal	ADJ
ejpam-5303	39	90	operator	operator	NOUN
ejpam-5303	39	91	for	for	ADP
ejpam-5303	39	92	any	any	DET
ejpam-5303	39	93	unit	unit	NOUN
ejpam-5303	39	94	vector	vector	NOUN
ejpam-5303	39	95	x	x	PUNCT
ejpam-5303	39	96	in	in	ADP
ejpam-5303	39	97	h	h	NOUN
ejpam-5303	39	98	;	;	PUNCT
ejpam-5303	39	99	for	for	ADP
ejpam-5303	39	100	m	m	PROPN
ejpam-5303	39	101	=	=	SYM
ejpam-5303	39	102	1	1	NUM
ejpam-5303	39	103	,	,	PUNCT
ejpam-5303	39	104	k	k	NOUN
ejpam-5303	39	105	=	=	SYM
ejpam-5303	39	106	1	1	NUM
ejpam-5303	39	107	a	a	DET
ejpam-5303	39	108	(	(	PUNCT
ejpam-5303	39	109	1	1	NUM
ejpam-5303	39	110	,	,	PUNCT
ejpam-5303	39	111	1)−quasi	1)−quasi	PROPN
ejpam-5303	39	112	paranormal	paranormal	NOUN
ejpam-5303	39	113	operator	operator	NOUN
ejpam-5303	39	114	is	be	AUX
ejpam-5303	39	115	a	a	DET
ejpam-5303	39	116	quasi	quasi	ADJ
ejpam-5303	39	117	paranormal	paranormal	NOUN
ejpam-5303	39	118	operator	operator	NOUN
ejpam-5303	39	119	.	.	PUNCT
ejpam-5303	40	1	important	important	ADJ
ejpam-5303	40	2	properties	property	NOUN
ejpam-5303	40	3	of	of	ADP
ejpam-5303	40	4	this	this	DET
ejpam-5303	40	5	new	new	ADJ
ejpam-5303	40	6	class	class	NOUN
ejpam-5303	40	7	of	of	ADP
ejpam-5303	40	8	operators	operator	NOUN
ejpam-5303	40	9	are	be	AUX
ejpam-5303	40	10	shown	show	VERB
ejpam-5303	40	11	in	in	ADP
ejpam-5303	40	12	the	the	DET
ejpam-5303	40	13	following	follow	VERB
ejpam-5303	40	14	theorems	theorem	NOUN
ejpam-5303	40	15	.	.	PUNCT
ejpam-5303	41	1	theorem	theorem	NOUN
ejpam-5303	41	2	1	1	NUM
ejpam-5303	41	3	.	.	PUNCT
ejpam-5303	42	1	the	the	DET
ejpam-5303	42	2	class	class	NOUN
ejpam-5303	42	3	of	of	ADP
ejpam-5303	42	4	(	(	PUNCT
ejpam-5303	42	5	m	m	PROPN
ejpam-5303	42	6	,	,	PUNCT
ejpam-5303	42	7	k)−quasi	k)−quasi	PROPN
ejpam-5303	42	8	paranormal	paranormal	ADJ
ejpam-5303	42	9	operators	operator	NOUN
ejpam-5303	42	10	is	be	AUX
ejpam-5303	42	11	closed	close	VERB
ejpam-5303	42	12	under	under	ADP
ejpam-5303	42	13	scalar	scalar	ADJ
ejpam-5303	42	14	multiplication	multiplication	NOUN
ejpam-5303	42	15	.	.	PUNCT
ejpam-5303	43	1	proof	proof	NOUN
ejpam-5303	43	2	.	.	PUNCT
ejpam-5303	44	1	let	let	VERB
ejpam-5303	44	2	t	t	PROPN
ejpam-5303	44	3	∈	∈	PROPN
ejpam-5303	44	4	l(h	l(h	PROPN
ejpam-5303	44	5	)	)	PUNCT
ejpam-5303	44	6	be	be	AUX
ejpam-5303	44	7	a	a	DET
ejpam-5303	44	8	(	(	PUNCT
ejpam-5303	44	9	m	m	PROPN
ejpam-5303	44	10	,	,	PUNCT
ejpam-5303	44	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	44	12	paranormal	paranormal	ADJ
ejpam-5303	44	13	operator	operator	NOUN
ejpam-5303	44	14	,	,	PUNCT
ejpam-5303	44	15	and	and	CCONJ
ejpam-5303	44	16	let	let	VERB
ejpam-5303	44	17	α	α	PRON
ejpam-5303	44	18	be	be	AUX
ejpam-5303	44	19	any	any	DET
ejpam-5303	44	20	complex	complex	ADJ
ejpam-5303	44	21	scalar	scalar	NOUN
ejpam-5303	44	22	.	.	PUNCT
ejpam-5303	45	1	for	for	ADP
ejpam-5303	45	2	all	all	PRON
ejpam-5303	45	3	x	x	SYM
ejpam-5303	45	4	∈	∈	NOUN
ejpam-5303	45	5	h	h	NOUN
ejpam-5303	45	6	we	we	PRON
ejpam-5303	45	7	have	have	VERB
ejpam-5303	45	8	∥(αt	∥(αt	NOUN
ejpam-5303	45	9	)	)	PUNCT
ejpam-5303	45	10	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	45	11	=	=	SYM
ejpam-5303	45	12	|α|2k+2∥t	|α|2k+2∥t	PROPN
ejpam-5303	45	13	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	45	14	≤	≤	NOUN
ejpam-5303	45	15	|α|2k+2m(∥t	|α|2k+2m(∥t	ADP
ejpam-5303	45	16	k+2x∥	k+2x∥	PROPN
ejpam-5303	45	17	·	·	PUNCT
ejpam-5303	45	18	∥t	∥t	PROPN
ejpam-5303	45	19	kx∥	kx∥	NOUN
ejpam-5303	45	20	)	)	PUNCT
ejpam-5303	45	21	=	=	SYM
ejpam-5303	45	22	m∥(αt	m∥(αt	NOUN
ejpam-5303	45	23	)	)	PUNCT
ejpam-5303	45	24	k+2x∥	k+2x∥	PROPN
ejpam-5303	45	25	·	·	SYM
ejpam-5303	45	26	∥(αt	∥(αt	PROPN
ejpam-5303	45	27	)	)	PUNCT
ejpam-5303	45	28	kx∥.	kx∥.	NOUN
ejpam-5303	45	29	then	then	ADV
ejpam-5303	45	30	,	,	PUNCT
ejpam-5303	45	31	αt	αt	PROPN
ejpam-5303	45	32	is	be	AUX
ejpam-5303	45	33	also	also	ADV
ejpam-5303	45	34	(	(	PUNCT
ejpam-5303	45	35	m	m	PROPN
ejpam-5303	45	36	,	,	PUNCT
ejpam-5303	45	37	k)−quasi	k)−quasi	ADJ
ejpam-5303	45	38	paranormal	paranormal	ADJ
ejpam-5303	45	39	operator	operator	NOUN
ejpam-5303	45	40	.	.	PUNCT
ejpam-5303	46	1	theorem	theorem	NOUN
ejpam-5303	46	2	2	2	NUM
ejpam-5303	46	3	.	.	PUNCT
ejpam-5303	47	1	let	let	VERB
ejpam-5303	47	2	t	t	PROPN
ejpam-5303	47	3	∈	∈	PROPN
ejpam-5303	47	4	l(h	l(h	PROPN
ejpam-5303	47	5	)	)	PUNCT
ejpam-5303	47	6	be	be	AUX
ejpam-5303	47	7	a	a	DET
ejpam-5303	47	8	(	(	PUNCT
ejpam-5303	47	9	m	m	PROPN
ejpam-5303	47	10	,	,	PUNCT
ejpam-5303	47	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	47	12	paranormal	paranormal	ADJ
ejpam-5303	47	13	operator	operator	NOUN
ejpam-5303	47	14	and	and	CCONJ
ejpam-5303	47	15	let	let	VERB
ejpam-5303	47	16	s	s	PRON
ejpam-5303	47	17	∈	∈	VERB
ejpam-5303	47	18	l(h	l(h	PROPN
ejpam-5303	47	19	)	)	PUNCT
ejpam-5303	47	20	be	be	AUX
ejpam-5303	47	21	an	an	DET
ejpam-5303	47	22	isometric	isometric	ADJ
ejpam-5303	47	23	operator	operator	NOUN
ejpam-5303	47	24	.	.	PUNCT
ejpam-5303	48	1	if	if	SCONJ
ejpam-5303	48	2	t	t	PROPN
ejpam-5303	48	3	double	double	ADJ
ejpam-5303	48	4	commutes	commute	NOUN
ejpam-5303	48	5	with	with	ADP
ejpam-5303	48	6	s	s	PROPN
ejpam-5303	48	7	,	,	PUNCT
ejpam-5303	48	8	then	then	ADV
ejpam-5303	48	9	ts	ts	PROPN
ejpam-5303	48	10	is	be	AUX
ejpam-5303	48	11	a	a	DET
ejpam-5303	48	12	(	(	PUNCT
ejpam-5303	48	13	m	m	PROPN
ejpam-5303	48	14	,	,	PUNCT
ejpam-5303	48	15	k)−quasi	k)−quasi	ADJ
ejpam-5303	48	16	paranormal	paranormal	ADJ
ejpam-5303	48	17	operator	operator	NOUN
ejpam-5303	48	18	.	.	PUNCT
ejpam-5303	49	1	proof	proof	NOUN
ejpam-5303	49	2	.	.	PUNCT
ejpam-5303	50	1	let	let	VERB
ejpam-5303	50	2	t	t	PROPN
ejpam-5303	50	3	∈	∈	PROPN
ejpam-5303	50	4	l(h	l(h	PROPN
ejpam-5303	50	5	)	)	PUNCT
ejpam-5303	50	6	be	be	AUX
ejpam-5303	50	7	a	a	DET
ejpam-5303	50	8	(	(	PUNCT
ejpam-5303	50	9	m	m	PROPN
ejpam-5303	50	10	,	,	PUNCT
ejpam-5303	50	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	50	12	paranormal	paranormal	ADJ
ejpam-5303	50	13	operator	operator	NOUN
ejpam-5303	50	14	.	.	PUNCT
ejpam-5303	51	1	let	let	AUX
ejpam-5303	51	2	be	be	AUX
ejpam-5303	51	3	s	s	PRON
ejpam-5303	51	4	an	an	DET
ejpam-5303	51	5	isometric	isometric	ADJ
ejpam-5303	51	6	operator	operator	NOUN
ejpam-5303	51	7	and	and	CCONJ
ejpam-5303	51	8	let	let	VERB
ejpam-5303	51	9	be	be	AUX
ejpam-5303	51	10	b	b	NOUN
ejpam-5303	51	11	=	=	SYM
ejpam-5303	51	12	ts	ts	PROPN
ejpam-5303	51	13	.	.	PUNCT
ejpam-5303	52	1	since	since	SCONJ
ejpam-5303	52	2	operator	operator	NOUN
ejpam-5303	52	3	t	t	PROPN
ejpam-5303	52	4	double	double	ADJ
ejpam-5303	52	5	commutes	commute	NOUN
ejpam-5303	52	6	with	with	ADP
ejpam-5303	52	7	operator	operator	NOUN
ejpam-5303	52	8	s	s	VERB
ejpam-5303	52	9	we	we	PRON
ejpam-5303	52	10	have	have	VERB
ejpam-5303	52	11	ts	ts	ADP
ejpam-5303	52	12	=	=	PROPN
ejpam-5303	52	13	st	st	PROPN
ejpam-5303	52	14	,	,	PUNCT
ejpam-5303	52	15	s∗t	s∗t	X
ejpam-5303	52	16	=	=	SYM
ejpam-5303	52	17	ts∗	ts∗	X
ejpam-5303	52	18	and	and	CCONJ
ejpam-5303	52	19	s∗s	s∗s	ADP
ejpam-5303	52	20	=	=	PUNCT
ejpam-5303	52	21	i.	i.	NOUN
ejpam-5303	52	22	now	now	ADV
ejpam-5303	52	23	,	,	PUNCT
ejpam-5303	52	24	b∗k(m2b∗2b2	b∗k(m2b∗2b2	X
ejpam-5303	52	25	−	−	PROPN
ejpam-5303	53	1	2λb∗b	2λb∗b	PROPN
ejpam-5303	54	1	+	+	CCONJ
ejpam-5303	54	2	λ2)bk	λ2)bk	PROPN
ejpam-5303	54	3	v.	v.	PROPN
ejpam-5303	54	4	r.	r.	PROPN
ejpam-5303	54	5	hamiti	hamiti	PROPN
ejpam-5303	54	6	,	,	PUNCT
ejpam-5303	54	7	sh	sh	PROPN
ejpam-5303	54	8	.	.	PROPN
ejpam-5303	54	9	makolli	makolli	PROPN
ejpam-5303	54	10	/	/	SYM
ejpam-5303	54	11	eur	eur	PROPN
ejpam-5303	54	12	.	.	PUNCT
ejpam-5303	55	1	j.	j.	PROPN
ejpam-5303	55	2	pure	pure	PROPN
ejpam-5303	55	3	appl	appl	PROPN
ejpam-5303	55	4	.	.	PROPN
ejpam-5303	55	5	math	math	PROPN
ejpam-5303	55	6	,	,	PUNCT
ejpam-5303	55	7	17	17	NUM
ejpam-5303	55	8	(	(	PUNCT
ejpam-5303	55	9	3	3	NUM
ejpam-5303	55	10	)	)	PUNCT
ejpam-5303	55	11	(	(	PUNCT
ejpam-5303	55	12	2024	2024	NUM
ejpam-5303	55	13	)	)	PUNCT
ejpam-5303	55	14	,	,	PUNCT
ejpam-5303	55	15	2073	2073	NUM
ejpam-5303	55	16	-	-	SYM
ejpam-5303	55	17	2083	2083	NUM
ejpam-5303	55	18	2076	2076	NUM
ejpam-5303	56	1	=	=	SYM
ejpam-5303	57	1	(	(	PUNCT
ejpam-5303	57	2	ts)∗k(m2(ts)∗2(ts)2	ts)∗k(m2(ts)∗2(ts)2	NOUN
ejpam-5303	57	3	−	−	PROPN
ejpam-5303	57	4	2λ(ts)∗(ts	2λ(ts)∗(ts	NUM
ejpam-5303	57	5	)	)	PUNCT
ejpam-5303	58	1	+	+	NUM
ejpam-5303	58	2	λ2)(ts)k	λ2)(ts)k	NOUN
ejpam-5303	58	3	=	=	PUNCT
ejpam-5303	58	4	s∗t	s∗t	X
ejpam-5303	58	5	∗s∗t	∗s∗t	PROPN
ejpam-5303	58	6	∗	∗	X
ejpam-5303	58	7	...	...	PUNCT
ejpam-5303	58	8	s∗t	s∗t	X
ejpam-5303	58	9	∗(m2s∗t	∗(m2s∗t	X
ejpam-5303	58	10	∗s∗t	∗s∗t	PROPN
ejpam-5303	58	11	∗tsts	∗tst	VERB
ejpam-5303	58	12	−	−	PROPN
ejpam-5303	58	13	2λs∗t	2λs∗t	NUM
ejpam-5303	58	14	∗ts	∗t	NOUN
ejpam-5303	59	1	+	+	NUM
ejpam-5303	59	2	λ2)tsts	λ2)tst	NOUN
ejpam-5303	59	3	...	...	PUNCT
ejpam-5303	59	4	ts	ts	ADP
ejpam-5303	59	5	=	=	PUNCT
ejpam-5303	59	6	s∗kt	s∗kt	PROPN
ejpam-5303	59	7	∗k(m2	∗k(m2	X
ejpam-5303	59	8	t	t	PROPN
ejpam-5303	59	9	∗2	∗2	PROPN
ejpam-5303	59	10	t	t	PROPN
ejpam-5303	59	11	2	2	NUM
ejpam-5303	59	12	−	−	NOUN
ejpam-5303	59	13	2λt	2λt	ADJ
ejpam-5303	59	14	∗t	∗t	ADJ
ejpam-5303	59	15	+	+	CCONJ
ejpam-5303	59	16	λ2)t	λ2)t	PROPN
ejpam-5303	59	17	ksk	ksk	X
ejpam-5303	59	18	=	=	SYM
ejpam-5303	59	19	(	(	PUNCT
ejpam-5303	59	20	ts)∗k(m2	ts)∗k(m2	NOUN
ejpam-5303	59	21	t	t	PROPN
ejpam-5303	59	22	∗2	∗2	PROPN
ejpam-5303	59	23	t	t	PROPN
ejpam-5303	59	24	2	2	NUM
ejpam-5303	59	25	−	−	NOUN
ejpam-5303	59	26	2λt	2λt	ADJ
ejpam-5303	59	27	∗t	∗t	ADJ
ejpam-5303	59	28	+	+	PUNCT
ejpam-5303	59	29	λ2)(ts)k	λ2)(ts)k	NOUN
ejpam-5303	59	30	≥	≥	VERB
ejpam-5303	59	31	0	0	NUM
ejpam-5303	59	32	,	,	PUNCT
ejpam-5303	59	33	for	for	ADP
ejpam-5303	59	34	all	all	DET
ejpam-5303	59	35	λ	λ	PROPN
ejpam-5303	59	36	>	>	X
ejpam-5303	59	37	0	0	NUM
ejpam-5303	59	38	,	,	PUNCT
ejpam-5303	59	39	so	so	ADV
ejpam-5303	59	40	ts	ts	ADV
ejpam-5303	59	41	is	be	AUX
ejpam-5303	59	42	a	a	DET
ejpam-5303	59	43	(	(	PUNCT
ejpam-5303	59	44	m	m	PROPN
ejpam-5303	59	45	,	,	PUNCT
ejpam-5303	59	46	k)−quasi	k)−quasi	ADJ
ejpam-5303	59	47	paranormal	paranormal	ADJ
ejpam-5303	59	48	operator	operator	NOUN
ejpam-5303	59	49	.	.	PUNCT
ejpam-5303	60	1	theorem	theorem	NOUN
ejpam-5303	60	2	3	3	X
ejpam-5303	60	3	.	.	PUNCT
ejpam-5303	61	1	let	let	VERB
ejpam-5303	61	2	t	t	PROPN
ejpam-5303	61	3	∈	∈	PROPN
ejpam-5303	61	4	l(h	l(h	PROPN
ejpam-5303	61	5	)	)	PUNCT
ejpam-5303	61	6	be	be	AUX
ejpam-5303	61	7	a	a	DET
ejpam-5303	61	8	(	(	PUNCT
ejpam-5303	61	9	m	m	PROPN
ejpam-5303	61	10	,	,	PUNCT
ejpam-5303	61	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	61	12	paranormal	paranormal	ADJ
ejpam-5303	61	13	operator	operator	NOUN
ejpam-5303	61	14	.	.	PUNCT
ejpam-5303	62	1	if	if	SCONJ
ejpam-5303	62	2	s	s	X
ejpam-5303	62	3	∈	∈	PROPN
ejpam-5303	62	4	l(h	l(h	PROPN
ejpam-5303	62	5	)	)	PUNCT
ejpam-5303	62	6	is	be	AUX
ejpam-5303	62	7	unitarily	unitarily	ADV
ejpam-5303	62	8	equivalent	equivalent	ADJ
ejpam-5303	62	9	to	to	PART
ejpam-5303	62	10	operator	operator	VERB
ejpam-5303	62	11	t	t	PROPN
ejpam-5303	62	12	,	,	PUNCT
ejpam-5303	62	13	then	then	ADV
ejpam-5303	62	14	s	s	VERB
ejpam-5303	62	15	is	be	AUX
ejpam-5303	62	16	a	a	DET
ejpam-5303	62	17	(	(	PUNCT
ejpam-5303	62	18	m	m	PROPN
ejpam-5303	62	19	,	,	PUNCT
ejpam-5303	62	20	k)−quasi	k)−quasi	ADJ
ejpam-5303	62	21	paranormal	paranormal	ADJ
ejpam-5303	62	22	operator	operator	NOUN
ejpam-5303	62	23	.	.	PUNCT
ejpam-5303	63	1	proof	proof	NOUN
ejpam-5303	63	2	.	.	PUNCT
ejpam-5303	64	1	let	let	VERB
ejpam-5303	64	2	t	t	PROPN
ejpam-5303	64	3	∈	∈	PROPN
ejpam-5303	64	4	l(h	l(h	PROPN
ejpam-5303	64	5	)	)	PUNCT
ejpam-5303	64	6	be	be	AUX
ejpam-5303	64	7	a	a	DET
ejpam-5303	64	8	(	(	PUNCT
ejpam-5303	64	9	m	m	PROPN
ejpam-5303	64	10	,	,	PUNCT
ejpam-5303	64	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	64	12	paranormal	paranormal	ADJ
ejpam-5303	64	13	operator	operator	NOUN
ejpam-5303	64	14	.	.	PUNCT
ejpam-5303	65	1	since	since	SCONJ
ejpam-5303	65	2	operator	operator	NOUN
ejpam-5303	65	3	s	s	PART
ejpam-5303	65	4	is	be	AUX
ejpam-5303	65	5	unitarly	unitarly	ADV
ejpam-5303	65	6	equivalent	equivalent	ADJ
ejpam-5303	65	7	to	to	PART
ejpam-5303	65	8	operator	operator	VERB
ejpam-5303	65	9	t	t	PROPN
ejpam-5303	65	10	,	,	PUNCT
ejpam-5303	65	11	then	then	ADV
ejpam-5303	65	12	there	there	PRON
ejpam-5303	65	13	exists	exist	VERB
ejpam-5303	65	14	an	an	DET
ejpam-5303	65	15	unitary	unitary	ADJ
ejpam-5303	65	16	operator	operator	NOUN
ejpam-5303	65	17	u	u	NOUN
ejpam-5303	65	18	such	such	ADJ
ejpam-5303	65	19	that	that	PRON
ejpam-5303	65	20	s	s	PART
ejpam-5303	65	21	=	=	ADJ
ejpam-5303	65	22	u∗tu	u∗tu	PROPN
ejpam-5303	65	23	.	.	PUNCT
ejpam-5303	66	1	since	since	SCONJ
ejpam-5303	66	2	t	t	PROPN
ejpam-5303	66	3	is	be	AUX
ejpam-5303	66	4	a	a	DET
ejpam-5303	66	5	(	(	PUNCT
ejpam-5303	66	6	m	m	PROPN
ejpam-5303	66	7	,	,	PUNCT
ejpam-5303	66	8	k)−quasi	k)−quasi	ADJ
ejpam-5303	66	9	paranormal	paranormal	ADJ
ejpam-5303	66	10	operator	operator	NOUN
ejpam-5303	66	11	then	then	ADV
ejpam-5303	66	12	t	t	PROPN
ejpam-5303	66	13	∗k(m2	∗k(m2	PROPN
ejpam-5303	66	14	t	t	PROPN
ejpam-5303	66	15	∗2	∗2	PROPN
ejpam-5303	66	16	t	t	PROPN
ejpam-5303	66	17	2	2	NUM
ejpam-5303	66	18	−	−	NOUN
ejpam-5303	66	19	2λt	2λt	ADJ
ejpam-5303	66	20	∗t	∗t	ADJ
ejpam-5303	66	21	+	+	CCONJ
ejpam-5303	66	22	λ2)t	λ2)t	PROPN
ejpam-5303	66	23	k	k	PROPN
ejpam-5303	66	24	≥	≥	PROPN
ejpam-5303	66	25	0	0	NUM
ejpam-5303	66	26	.	.	PUNCT
ejpam-5303	67	1	hence	hence	ADV
ejpam-5303	67	2	,	,	PUNCT
ejpam-5303	67	3	s∗k(m2s∗2s2	s∗k(m2s∗2s2	ADJ
ejpam-5303	67	4	−	−	PROPN
ejpam-5303	68	1	2λs∗s	2λs∗s	PROPN
ejpam-5303	68	2	+	+	NUM
ejpam-5303	68	3	λ2)sk	λ2)sk	NOUN
ejpam-5303	68	4	=	=	SYM
ejpam-5303	68	5	(	(	PUNCT
ejpam-5303	68	6	u∗tu)∗k(m2(u∗tu)∗2(u∗tu)2	u∗tu)∗k(m2(u∗tu)∗2(u∗tu)2	ADV
ejpam-5303	68	7	−	−	PROPN
ejpam-5303	68	8	2λ(u∗tu)∗(u∗tu	2λ(u∗tu)∗(u∗tu	NUM
ejpam-5303	68	9	)	)	PUNCT
ejpam-5303	69	1	+	+	CCONJ
ejpam-5303	70	1	λ2)(u∗tu)k	λ2)(u∗tu)k	VERB
ejpam-5303	70	2	=	=	SYM
ejpam-5303	70	3	u∗kt	u∗kt	PROPN
ejpam-5303	70	4	∗k(m2	∗k(m2	X
ejpam-5303	70	5	t	t	PROPN
ejpam-5303	70	6	∗2	∗2	PROPN
ejpam-5303	70	7	t	t	PROPN
ejpam-5303	70	8	2	2	NUM
ejpam-5303	70	9	−	−	NOUN
ejpam-5303	70	10	2λt	2λt	ADJ
ejpam-5303	70	11	∗t	∗t	ADJ
ejpam-5303	70	12	+	+	CCONJ
ejpam-5303	70	13	λ2)t	λ2)t	PROPN
ejpam-5303	70	14	kuk	kuk	PROPN
ejpam-5303	70	15	≥	≥	PROPN
ejpam-5303	70	16	0	0	NUM
ejpam-5303	70	17	,	,	PUNCT
ejpam-5303	70	18	for	for	ADP
ejpam-5303	70	19	all	all	DET
ejpam-5303	70	20	λ	λ	PROPN
ejpam-5303	70	21	>	>	X
ejpam-5303	70	22	0	0	NUM
ejpam-5303	70	23	,	,	PUNCT
ejpam-5303	70	24	so	so	ADV
ejpam-5303	70	25	s	s	VERB
ejpam-5303	70	26	is	be	AUX
ejpam-5303	70	27	a	a	DET
ejpam-5303	70	28	(	(	PUNCT
ejpam-5303	70	29	m	m	PROPN
ejpam-5303	70	30	,	,	PUNCT
ejpam-5303	70	31	k)−quasi	k)−quasi	ADJ
ejpam-5303	70	32	paranormal	paranormal	ADJ
ejpam-5303	70	33	operator	operator	NOUN
ejpam-5303	70	34	.	.	PUNCT
ejpam-5303	71	1	theorem	theorem	VERB
ejpam-5303	71	2	4	4	NUM
ejpam-5303	71	3	.	.	PUNCT
ejpam-5303	72	1	let	let	VERB
ejpam-5303	72	2	t	t	PROPN
ejpam-5303	72	3	∈	∈	PROPN
ejpam-5303	72	4	l(h	l(h	PROPN
ejpam-5303	72	5	)	)	PUNCT
ejpam-5303	72	6	be	be	AUX
ejpam-5303	72	7	a	a	DET
ejpam-5303	72	8	(	(	PUNCT
ejpam-5303	72	9	m	m	PROPN
ejpam-5303	72	10	,	,	PUNCT
ejpam-5303	72	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	72	12	paranormal	paranormal	ADJ
ejpam-5303	72	13	operator	operator	NOUN
ejpam-5303	72	14	.	.	PUNCT
ejpam-5303	73	1	if	if	SCONJ
ejpam-5303	73	2	a	a	PRON
ejpam-5303	73	3	is	be	AUX
ejpam-5303	73	4	a	a	DET
ejpam-5303	73	5	closed	closed	ADJ
ejpam-5303	73	6	t	t	NOUN
ejpam-5303	73	7	invariant	invariant	ADJ
ejpam-5303	73	8	subset	subset	NOUN
ejpam-5303	73	9	of	of	ADP
ejpam-5303	73	10	h	h	NOUN
ejpam-5303	73	11	,	,	PUNCT
ejpam-5303	73	12	then	then	ADV
ejpam-5303	73	13	,	,	PUNCT
ejpam-5303	73	14	the	the	DET
ejpam-5303	73	15	restriction	restriction	NOUN
ejpam-5303	73	16	t|a	t|a	VERB
ejpam-5303	73	17	is	be	AUX
ejpam-5303	73	18	a	a	DET
ejpam-5303	73	19	(	(	PUNCT
ejpam-5303	73	20	m	m	PROPN
ejpam-5303	73	21	,	,	PUNCT
ejpam-5303	73	22	k)−quasi	k)−quasi	ADJ
ejpam-5303	73	23	paranormal	paranormal	ADJ
ejpam-5303	73	24	operator	operator	NOUN
ejpam-5303	73	25	.	.	PUNCT
ejpam-5303	74	1	proof	proof	NOUN
ejpam-5303	74	2	.	.	PUNCT
ejpam-5303	75	1	let	let	VERB
ejpam-5303	75	2	t	t	PROPN
ejpam-5303	75	3	∈	∈	PROPN
ejpam-5303	75	4	l(h	l(h	PROPN
ejpam-5303	75	5	)	)	PUNCT
ejpam-5303	75	6	be	be	AUX
ejpam-5303	75	7	a	a	DET
ejpam-5303	75	8	(	(	PUNCT
ejpam-5303	75	9	m	m	PROPN
ejpam-5303	75	10	,	,	PUNCT
ejpam-5303	75	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	75	12	paranormal	paranormal	ADJ
ejpam-5303	75	13	operator	operator	NOUN
ejpam-5303	75	14	.	.	PUNCT
ejpam-5303	76	1	∥(t	∥(t	PROPN
ejpam-5303	76	2	|a)k+1u∥2	|a)k+1u∥2	NOUN
ejpam-5303	76	3	=	=	SYM
ejpam-5303	76	4	∥t	∥t	PROPN
ejpam-5303	76	5	k+1u∥2	k+1u∥2	VERB
ejpam-5303	76	6	≤	≤	NUM
ejpam-5303	76	7	m(∥t	m(∥t	NOUN
ejpam-5303	76	8	k+2u∥	k+2u∥	NOUN
ejpam-5303	76	9	·	·	PUNCT
ejpam-5303	76	10	∥t	∥t	PROPN
ejpam-5303	76	11	ku∥	ku∥	PROPN
ejpam-5303	76	12	)	)	PUNCT
ejpam-5303	76	13	=	=	SYM
ejpam-5303	76	14	m(∥(t	m(∥(t	PROPN
ejpam-5303	76	15	|a)k+2u∥	|a)k+2u∥	NOUN
ejpam-5303	76	16	·	·	PUNCT
ejpam-5303	76	17	∥(t	∥(t	X
ejpam-5303	76	18	|a)ku∥	|a)ku∥	PROPN
ejpam-5303	76	19	)	)	PUNCT
ejpam-5303	76	20	.	.	PUNCT
ejpam-5303	77	1	this	this	PRON
ejpam-5303	77	2	implies	imply	VERB
ejpam-5303	77	3	that	that	SCONJ
ejpam-5303	77	4	t	t	PROPN
ejpam-5303	77	5	|a	|a	VERB
ejpam-5303	77	6	is	be	AUX
ejpam-5303	77	7	a	a	DET
ejpam-5303	77	8	(	(	PUNCT
ejpam-5303	77	9	m	m	PROPN
ejpam-5303	77	10	,	,	PUNCT
ejpam-5303	77	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	77	12	paranormal	paranormal	ADJ
ejpam-5303	77	13	operator	operator	NOUN
ejpam-5303	77	14	.	.	PUNCT
ejpam-5303	78	1	v.	v.	PROPN
ejpam-5303	78	2	r.	r.	PROPN
ejpam-5303	78	3	hamiti	hamiti	PROPN
ejpam-5303	78	4	,	,	PUNCT
ejpam-5303	78	5	sh	sh	PROPN
ejpam-5303	78	6	.	.	PROPN
ejpam-5303	78	7	makolli	makolli	PROPN
ejpam-5303	78	8	/	/	SYM
ejpam-5303	78	9	eur	eur	PROPN
ejpam-5303	78	10	.	.	PUNCT
ejpam-5303	79	1	j.	j.	PROPN
ejpam-5303	79	2	pure	pure	PROPN
ejpam-5303	79	3	appl	appl	PROPN
ejpam-5303	79	4	.	.	PROPN
ejpam-5303	79	5	math	math	PROPN
ejpam-5303	79	6	,	,	PUNCT
ejpam-5303	79	7	17	17	NUM
ejpam-5303	79	8	(	(	PUNCT
ejpam-5303	79	9	3	3	NUM
ejpam-5303	79	10	)	)	PUNCT
ejpam-5303	79	11	(	(	PUNCT
ejpam-5303	79	12	2024	2024	NUM
ejpam-5303	79	13	)	)	PUNCT
ejpam-5303	79	14	,	,	PUNCT
ejpam-5303	79	15	2073	2073	NUM
ejpam-5303	79	16	-	-	SYM
ejpam-5303	79	17	2083	2083	NUM
ejpam-5303	79	18	2077	2077	NUM
ejpam-5303	79	19	theorem	theorem	NOUN
ejpam-5303	79	20	5	5	NUM
ejpam-5303	79	21	.	.	PUNCT
ejpam-5303	80	1	if	if	SCONJ
ejpam-5303	80	2	t	t	PROPN
ejpam-5303	80	3	∈	∈	PROPN
ejpam-5303	80	4	l(h	l(h	PROPN
ejpam-5303	80	5	)	)	PUNCT
ejpam-5303	80	6	is	be	AUX
ejpam-5303	80	7	a	a	DET
ejpam-5303	80	8	invertible	invertible	ADJ
ejpam-5303	80	9	(	(	PUNCT
ejpam-5303	80	10	m	m	PROPN
ejpam-5303	80	11	,	,	PUNCT
ejpam-5303	80	12	k)−quasi	k)−quasi	ADJ
ejpam-5303	80	13	paranormal	paranormal	ADJ
ejpam-5303	80	14	operator	operator	NOUN
ejpam-5303	80	15	then	then	ADV
ejpam-5303	80	16	t−1	t−1	PROPN
ejpam-5303	80	17	is	be	AUX
ejpam-5303	80	18	also	also	ADV
ejpam-5303	80	19	(	(	PUNCT
ejpam-5303	80	20	m	m	PROPN
ejpam-5303	80	21	,	,	PUNCT
ejpam-5303	80	22	k)−quasi	k)−quasi	ADJ
ejpam-5303	80	23	paranormal	paranormal	ADJ
ejpam-5303	80	24	operator	operator	NOUN
ejpam-5303	80	25	.	.	PUNCT
ejpam-5303	81	1	proof	proof	NOUN
ejpam-5303	81	2	.	.	PUNCT
ejpam-5303	82	1	since	since	SCONJ
ejpam-5303	82	2	t	t	PROPN
ejpam-5303	82	3	is	be	AUX
ejpam-5303	82	4	a	a	DET
ejpam-5303	82	5	(	(	PUNCT
ejpam-5303	82	6	m	m	PROPN
ejpam-5303	82	7	,	,	PUNCT
ejpam-5303	82	8	k)−quasi	k)−quasi	ADJ
ejpam-5303	82	9	paranormal	paranormal	ADJ
ejpam-5303	82	10	operator	operator	NOUN
ejpam-5303	82	11	,	,	PUNCT
ejpam-5303	82	12	for	for	ADP
ejpam-5303	82	13	a	a	DET
ejpam-5303	82	14	non	non	ADJ
ejpam-5303	82	15	negative	negative	ADJ
ejpam-5303	82	16	integer	integer	NOUN
ejpam-5303	82	17	k	k	PROPN
ejpam-5303	82	18	and	and	CCONJ
ejpam-5303	82	19	a	a	DET
ejpam-5303	82	20	fixed	fix	VERB
ejpam-5303	82	21	real	real	ADJ
ejpam-5303	82	22	positive	positive	ADJ
ejpam-5303	82	23	number	number	NOUN
ejpam-5303	82	24	m	m	NOUN
ejpam-5303	82	25	,	,	PUNCT
ejpam-5303	82	26	we	we	PRON
ejpam-5303	82	27	have	have	VERB
ejpam-5303	82	28	∥t	∥t	ADJ
ejpam-5303	82	29	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	82	30	≤	≤	NUM
ejpam-5303	82	31	m∥t	m∥t	VERB
ejpam-5303	82	32	k+2x∥	k+2x∥	PROPN
ejpam-5303	82	33	·	·	PUNCT
ejpam-5303	82	34	∥t	∥t	PROPN
ejpam-5303	82	35	kx∥	kx∥	PROPN
ejpam-5303	82	36	,	,	PUNCT
ejpam-5303	82	37	for	for	ADP
ejpam-5303	82	38	all	all	DET
ejpam-5303	82	39	x	x	SYM
ejpam-5303	82	40	∈	∈	PROPN
ejpam-5303	82	41	h.	h.	NOUN
ejpam-5303	82	42	then	then	ADV
ejpam-5303	82	43	,	,	PUNCT
ejpam-5303	82	44	∥t	∥t	PROPN
ejpam-5303	82	45	k+1x∥	k+1x∥	NOUN
ejpam-5303	82	46	∥t	∥t	PROPN
ejpam-5303	82	47	k+2x∥	k+2x∥	PROPN
ejpam-5303	82	48	≤	≤	NUM
ejpam-5303	82	49	m∥t	m∥t	NOUN
ejpam-5303	82	50	kx∥	kx∥	NOUN
ejpam-5303	82	51	∥t	∥t	ADJ
ejpam-5303	82	52	k+1x∥	k+1x∥	NOUN
ejpam-5303	82	53	for	for	ADP
ejpam-5303	82	54	each	each	DET
ejpam-5303	82	55	vector	vector	NOUN
ejpam-5303	82	56	x	x	AUX
ejpam-5303	82	57	∈	∈	PROPN
ejpam-5303	82	58	h.	h.	NOUN
ejpam-5303	82	59	now	now	ADV
ejpam-5303	82	60	replacing	replace	VERB
ejpam-5303	82	61	x	x	PUNCT
ejpam-5303	82	62	by	by	ADP
ejpam-5303	82	63	t−2k−2x	t−2k−2x	NOUN
ejpam-5303	82	64	,	,	PUNCT
ejpam-5303	82	65	we	we	PRON
ejpam-5303	82	66	have	have	VERB
ejpam-5303	82	67	∥t	∥t	ADJ
ejpam-5303	82	68	k+1t−2k−2x∥	k+1t−2k−2x∥	NOUN
ejpam-5303	82	69	∥t	∥t	PROPN
ejpam-5303	82	70	k+2t−2k−2x∥	k+2t−2k−2x∥	PROPN
ejpam-5303	82	71	≤	≤	PROPN
ejpam-5303	82	72	m∥t	m∥t	VERB
ejpam-5303	83	1	kt−2k−2x∥	kt−2k−2x∥	PROPN
ejpam-5303	83	2	∥t	∥t	PROPN
ejpam-5303	83	3	k+1t−2k−2x∥	k+1t−2k−2x∥	NOUN
ejpam-5303	83	4	∥t−k−1x∥	∥t−k−1x∥	PROPN
ejpam-5303	83	5	∥t−kx∥	∥t−kx∥	PUNCT
ejpam-5303	83	6	≤	≤	PUNCT
ejpam-5303	83	7	m∥t−k−2x∥	m∥t−k−2x∥	PROPN
ejpam-5303	83	8	∥t−k−1x∥	∥t−k−1x∥	NOUN
ejpam-5303	83	9	∥t−(k+1)x∥2	∥t−(k+1)x∥2	NOUN
ejpam-5303	83	10	≤	≤	NOUN
ejpam-5303	83	11	m∥t−(k+2)x∥	m∥t−(k+2)x∥	NOUN
ejpam-5303	83	12	·	·	PUNCT
ejpam-5303	83	13	∥t−kx∥	∥t−kx∥	PUNCT
ejpam-5303	83	14	for	for	ADP
ejpam-5303	83	15	each	each	DET
ejpam-5303	83	16	vector	vector	NOUN
ejpam-5303	83	17	x	x	SYM
ejpam-5303	83	18	∈	∈	PROPN
ejpam-5303	83	19	h.	h.	NOUN
ejpam-5303	83	20	this	this	PRON
ejpam-5303	83	21	shows	show	VERB
ejpam-5303	83	22	that	that	SCONJ
ejpam-5303	83	23	t−1	t−1	PROPN
ejpam-5303	83	24	is	be	AUX
ejpam-5303	83	25	a	a	DET
ejpam-5303	83	26	(	(	PUNCT
ejpam-5303	83	27	m	m	PROPN
ejpam-5303	83	28	,	,	PUNCT
ejpam-5303	83	29	k)−quasi	k)−quasi	ADJ
ejpam-5303	83	30	paranormal	paranormal	ADJ
ejpam-5303	83	31	operator	operator	NOUN
ejpam-5303	83	32	.	.	PUNCT
ejpam-5303	84	1	theorem	theorem	VERB
ejpam-5303	84	2	6	6	NUM
ejpam-5303	84	3	.	.	PUNCT
ejpam-5303	85	1	let	let	VERB
ejpam-5303	85	2	t	t	PROPN
ejpam-5303	85	3	∈	∈	PROPN
ejpam-5303	85	4	l(h	l(h	PROPN
ejpam-5303	85	5	)	)	PUNCT
ejpam-5303	85	6	be	be	AUX
ejpam-5303	85	7	a	a	DET
ejpam-5303	85	8	(	(	PUNCT
ejpam-5303	85	9	m	m	PROPN
ejpam-5303	85	10	,	,	PUNCT
ejpam-5303	85	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	85	12	paranormal	paranormal	ADJ
ejpam-5303	85	13	operator	operator	NOUN
ejpam-5303	85	14	.	.	PUNCT
ejpam-5303	86	1	if	if	SCONJ
ejpam-5303	86	2	t	t	PROPN
ejpam-5303	86	3	k	k	PROPN
ejpam-5303	86	4	has	have	VERB
ejpam-5303	86	5	dense	dense	ADJ
ejpam-5303	86	6	range	range	NOUN
ejpam-5303	86	7	,	,	PUNCT
ejpam-5303	86	8	then	then	ADV
ejpam-5303	86	9	t	t	PROPN
ejpam-5303	86	10	is	be	AUX
ejpam-5303	86	11	a	a	DET
ejpam-5303	86	12	m−paranormal	m−paranormal	ADJ
ejpam-5303	86	13	operator	operator	NOUN
ejpam-5303	86	14	.	.	PUNCT
ejpam-5303	87	1	proof	proof	NOUN
ejpam-5303	87	2	.	.	PUNCT
ejpam-5303	88	1	let	let	VERB
ejpam-5303	88	2	t	t	PROPN
ejpam-5303	88	3	∈	∈	PROPN
ejpam-5303	88	4	l(h	l(h	PROPN
ejpam-5303	88	5	)	)	PUNCT
ejpam-5303	88	6	be	be	AUX
ejpam-5303	88	7	a	a	DET
ejpam-5303	88	8	(	(	PUNCT
ejpam-5303	88	9	m	m	PROPN
ejpam-5303	88	10	,	,	PUNCT
ejpam-5303	88	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	88	12	paranormal	paranormal	ADJ
ejpam-5303	88	13	operator	operator	NOUN
ejpam-5303	88	14	and	and	CCONJ
ejpam-5303	88	15	let	let	AUX
ejpam-5303	88	16	suppose	suppose	VERB
ejpam-5303	88	17	that	that	SCONJ
ejpam-5303	88	18	t	t	PROPN
ejpam-5303	88	19	k	k	PROPN
ejpam-5303	88	20	has	have	VERB
ejpam-5303	88	21	dense	dense	ADJ
ejpam-5303	88	22	range	range	NOUN
ejpam-5303	88	23	,	,	PUNCT
ejpam-5303	88	24	t	t	PROPN
ejpam-5303	88	25	k(h	k(h	PROPN
ejpam-5303	88	26	)	)	PUNCT
ejpam-5303	89	1	=	=	SYM
ejpam-5303	89	2	h.	h.	PROPN
ejpam-5303	89	3	let	let	VERB
ejpam-5303	89	4	x	x	SYM
ejpam-5303	89	5	∈	∈	PROPN
ejpam-5303	89	6	h	h	NOUN
ejpam-5303	89	7	,	,	PUNCT
ejpam-5303	89	8	then	then	ADV
ejpam-5303	89	9	there	there	PRON
ejpam-5303	89	10	exists	exist	VERB
ejpam-5303	89	11	a	a	DET
ejpam-5303	89	12	sequence	sequence	NOUN
ejpam-5303	89	13	{	{	PUNCT
ejpam-5303	89	14	xn}+∞	xn}+∞	X
ejpam-5303	89	15	n=1	n=1	PROPN
ejpam-5303	89	16	in	in	ADP
ejpam-5303	89	17	h	h	PRON
ejpam-5303	89	18	such	such	ADJ
ejpam-5303	89	19	that	that	SCONJ
ejpam-5303	89	20	t	t	PROPN
ejpam-5303	89	21	k(xn	k(xn	PROPN
ejpam-5303	89	22	)	)	PUNCT
ejpam-5303	89	23	→	→	SYM
ejpam-5303	89	24	x	x	X
ejpam-5303	89	25	,	,	PUNCT
ejpam-5303	89	26	n	n	PROPN
ejpam-5303	89	27	→	→	SYM
ejpam-5303	89	28	+	+	NOUN
ejpam-5303	89	29	∞.	∞.	PROPN
ejpam-5303	89	30	since	since	SCONJ
ejpam-5303	89	31	t	t	PROPN
ejpam-5303	89	32	is	be	AUX
ejpam-5303	89	33	a	a	DET
ejpam-5303	89	34	(	(	PUNCT
ejpam-5303	89	35	m	m	PROPN
ejpam-5303	89	36	,	,	PUNCT
ejpam-5303	89	37	k)−quasi	k)−quasi	ADJ
ejpam-5303	89	38	paranormal	paranormal	ADJ
ejpam-5303	89	39	operator	operator	NOUN
ejpam-5303	89	40	,	,	PUNCT
ejpam-5303	89	41	we	we	PRON
ejpam-5303	89	42	have	have	VERB
ejpam-5303	89	43	⟨(m2	⟨(m2	PROPN
ejpam-5303	89	44	t	t	PROPN
ejpam-5303	89	45	∗(k+2)t	∗(k+2)t	PROPN
ejpam-5303	89	46	(	(	PUNCT
ejpam-5303	89	47	k+2	k+2	NOUN
ejpam-5303	89	48	)	)	PUNCT
ejpam-5303	89	49	−	−	PROPN
ejpam-5303	89	50	2λt	2λt	PROPN
ejpam-5303	89	51	∗(k+1)t	∗(k+1)t	PROPN
ejpam-5303	89	52	(	(	PUNCT
ejpam-5303	89	53	k+1	k+1	NOUN
ejpam-5303	89	54	)	)	PUNCT
ejpam-5303	90	1	+	+	SYM
ejpam-5303	90	2	λ2	λ2	NOUN
ejpam-5303	90	3	t	t	NOUN
ejpam-5303	90	4	∗kt	∗kt	NUM
ejpam-5303	90	5	k)xn|xn⟩	k)xn|xn⟩	VERB
ejpam-5303	90	6	≥	≥	NOUN
ejpam-5303	90	7	0	0	NUM
ejpam-5303	90	8	,	,	PUNCT
ejpam-5303	90	9	for	for	ADP
ejpam-5303	90	10	all	all	DET
ejpam-5303	90	11	λ	λ	PROPN
ejpam-5303	90	12	>	>	X
ejpam-5303	90	13	0	0	NUM
ejpam-5303	90	14	;	;	PUNCT
ejpam-5303	90	15	⟨(t	⟨(t	PROPN
ejpam-5303	91	1	∗k(m2	∗k(m2	PROPN
ejpam-5303	91	2	t	t	PROPN
ejpam-5303	91	3	∗2	∗2	PROPN
ejpam-5303	91	4	t	t	PROPN
ejpam-5303	91	5	2	2	NUM
ejpam-5303	91	6	−	−	NOUN
ejpam-5303	91	7	2λt	2λt	ADJ
ejpam-5303	91	8	∗t	∗t	ADJ
ejpam-5303	91	9	+	+	CCONJ
ejpam-5303	91	10	λ2)t	λ2)t	PROPN
ejpam-5303	91	11	k)xn	k)xn	PROPN
ejpam-5303	91	12	,	,	PUNCT
ejpam-5303	91	13	xn⟩	xn⟩	PROPN
ejpam-5303	91	14	≥	≥	PROPN
ejpam-5303	91	15	0	0	NUM
ejpam-5303	91	16	,	,	PUNCT
ejpam-5303	91	17	for	for	ADP
ejpam-5303	91	18	all	all	DET
ejpam-5303	91	19	λ	λ	PROPN
ejpam-5303	91	20	>	>	X
ejpam-5303	91	21	0	0	NUM
ejpam-5303	91	22	;	;	PUNCT
ejpam-5303	91	23	⟨(m2	⟨(m2	PROPN
ejpam-5303	91	24	t	t	PROPN
ejpam-5303	91	25	∗2	∗2	PROPN
ejpam-5303	91	26	t	t	PROPN
ejpam-5303	91	27	2	2	NUM
ejpam-5303	91	28	−	−	NOUN
ejpam-5303	91	29	2λt	2λt	ADJ
ejpam-5303	91	30	∗t	∗t	ADJ
ejpam-5303	91	31	+	+	CCONJ
ejpam-5303	91	32	λ2)t	λ2)t	PROPN
ejpam-5303	91	33	kxn	kxn	PROPN
ejpam-5303	91	34	,	,	PUNCT
ejpam-5303	91	35	t	t	PROPN
ejpam-5303	91	36	kxn⟩	kxn⟩	NOUN
ejpam-5303	91	37	≥	≥	PROPN
ejpam-5303	91	38	0	0	NUM
ejpam-5303	91	39	,	,	PUNCT
ejpam-5303	91	40	for	for	ADP
ejpam-5303	91	41	all	all	DET
ejpam-5303	91	42	λ	λ	PROPN
ejpam-5303	91	43	>	>	X
ejpam-5303	91	44	0	0	NUM
ejpam-5303	91	45	.	.	PUNCT
ejpam-5303	92	1	by	by	ADP
ejpam-5303	92	2	the	the	DET
ejpam-5303	92	3	continuity	continuity	NOUN
ejpam-5303	92	4	of	of	ADP
ejpam-5303	92	5	the	the	DET
ejpam-5303	92	6	inner	inner	ADJ
ejpam-5303	92	7	product	product	NOUN
ejpam-5303	92	8	,	,	PUNCT
ejpam-5303	92	9	we	we	PRON
ejpam-5303	92	10	have	have	VERB
ejpam-5303	92	11	⟨(m2	⟨(m2	PROPN
ejpam-5303	92	12	t	t	PROPN
ejpam-5303	92	13	∗2	∗2	PROPN
ejpam-5303	92	14	t	t	PROPN
ejpam-5303	92	15	2	2	NUM
ejpam-5303	92	16	−	−	NOUN
ejpam-5303	92	17	2λt	2λt	ADJ
ejpam-5303	92	18	∗t	∗t	ADJ
ejpam-5303	92	19	+	+	CCONJ
ejpam-5303	92	20	λ2)x	λ2)x	NOUN
ejpam-5303	92	21	,	,	PUNCT
ejpam-5303	92	22	x⟩	x⟩	PUNCT
ejpam-5303	92	23	≥	≥	NOUN
ejpam-5303	92	24	0	0	NUM
ejpam-5303	92	25	,	,	PUNCT
ejpam-5303	92	26	for	for	ADP
ejpam-5303	92	27	x	x	PROPN
ejpam-5303	92	28	∈	∈	PROPN
ejpam-5303	92	29	h	h	NOUN
ejpam-5303	92	30	,	,	PUNCT
ejpam-5303	92	31	for	for	ADP
ejpam-5303	92	32	all	all	DET
ejpam-5303	92	33	λ	λ	PROPN
ejpam-5303	92	34	>	>	X
ejpam-5303	92	35	0	0	X
ejpam-5303	92	36	.	.	PUNCT
ejpam-5303	93	1	therefore	therefore	ADV
ejpam-5303	93	2	t	t	PROPN
ejpam-5303	93	3	is	be	AUX
ejpam-5303	93	4	a	a	DET
ejpam-5303	93	5	m−paranormal	m−paranormal	ADJ
ejpam-5303	93	6	operator	operator	NOUN
ejpam-5303	93	7	.	.	PUNCT
ejpam-5303	94	1	v.	v.	PROPN
ejpam-5303	94	2	r.	r.	PROPN
ejpam-5303	94	3	hamiti	hamiti	PROPN
ejpam-5303	94	4	,	,	PUNCT
ejpam-5303	94	5	sh	sh	PROPN
ejpam-5303	94	6	.	.	PROPN
ejpam-5303	94	7	makolli	makolli	PROPN
ejpam-5303	94	8	/	/	SYM
ejpam-5303	94	9	eur	eur	PROPN
ejpam-5303	94	10	.	.	PUNCT
ejpam-5303	95	1	j.	j.	PROPN
ejpam-5303	95	2	pure	pure	PROPN
ejpam-5303	95	3	appl	appl	PROPN
ejpam-5303	95	4	.	.	PROPN
ejpam-5303	95	5	math	math	PROPN
ejpam-5303	95	6	,	,	PUNCT
ejpam-5303	95	7	17	17	NUM
ejpam-5303	95	8	(	(	PUNCT
ejpam-5303	95	9	3	3	NUM
ejpam-5303	95	10	)	)	PUNCT
ejpam-5303	95	11	(	(	PUNCT
ejpam-5303	95	12	2024	2024	NUM
ejpam-5303	95	13	)	)	PUNCT
ejpam-5303	95	14	,	,	PUNCT
ejpam-5303	95	15	2073	2073	NUM
ejpam-5303	95	16	-	-	SYM
ejpam-5303	95	17	2083	2083	NUM
ejpam-5303	95	18	2078	2078	NUM
ejpam-5303	95	19	theorem	theorem	VERB
ejpam-5303	95	20	7	7	NUM
ejpam-5303	95	21	.	.	PUNCT
ejpam-5303	96	1	let	let	VERB
ejpam-5303	96	2	t	t	PROPN
ejpam-5303	96	3	be	be	AUX
ejpam-5303	96	4	a	a	DET
ejpam-5303	96	5	(	(	PUNCT
ejpam-5303	96	6	m	m	PROPN
ejpam-5303	96	7	,	,	PUNCT
ejpam-5303	96	8	k)−quasi	k)−quasi	ADJ
ejpam-5303	96	9	paranormal	paranormal	ADJ
ejpam-5303	96	10	operator	operator	NOUN
ejpam-5303	96	11	.	.	PUNCT
ejpam-5303	97	1	then	then	ADV
ejpam-5303	97	2	the	the	DET
ejpam-5303	97	3	tensor	tensor	NOUN
ejpam-5303	97	4	product	product	NOUN
ejpam-5303	97	5	t	t	PROPN
ejpam-5303	98	1	⊗	⊗	PROPN
ejpam-5303	98	2	i	i	PRON
ejpam-5303	99	1	and	and	CCONJ
ejpam-5303	99	2	i	i	PRON
ejpam-5303	99	3	⊗	⊗	PROPN
ejpam-5303	99	4	t	t	PROPN
ejpam-5303	99	5	are	be	AUX
ejpam-5303	99	6	both	both	PRON
ejpam-5303	99	7	(	(	PUNCT
ejpam-5303	99	8	m	m	PROPN
ejpam-5303	99	9	,	,	PUNCT
ejpam-5303	99	10	k)−quasi	k)−quasi	PROPN
ejpam-5303	99	11	paranormal	paranormal	ADJ
ejpam-5303	99	12	operators	operator	NOUN
ejpam-5303	99	13	.	.	PUNCT
ejpam-5303	100	1	proof	proof	NOUN
ejpam-5303	100	2	.	.	PUNCT
ejpam-5303	101	1	since	since	SCONJ
ejpam-5303	101	2	,	,	PUNCT
ejpam-5303	101	3	t	t	PROPN
ejpam-5303	101	4	is	be	AUX
ejpam-5303	101	5	(	(	PUNCT
ejpam-5303	101	6	m	m	PROPN
ejpam-5303	101	7	,	,	PUNCT
ejpam-5303	101	8	k)−quasi	k)−quasi	ADJ
ejpam-5303	101	9	paranormal	paranormal	ADJ
ejpam-5303	101	10	operator	operator	NOUN
ejpam-5303	101	11	,	,	PUNCT
ejpam-5303	101	12	then	then	ADV
ejpam-5303	101	13	we	we	PRON
ejpam-5303	101	14	have	have	VERB
ejpam-5303	101	15	:	:	PUNCT
ejpam-5303	101	16	t	t	PROPN
ejpam-5303	101	17	∗k(m2	∗k(m2	PROPN
ejpam-5303	101	18	t	t	PROPN
ejpam-5303	101	19	∗2	∗2	PROPN
ejpam-5303	101	20	t	t	PROPN
ejpam-5303	101	21	2	2	NUM
ejpam-5303	101	22	−	−	NOUN
ejpam-5303	101	23	2λt	2λt	ADJ
ejpam-5303	101	24	∗t	∗t	ADJ
ejpam-5303	101	25	+	+	CCONJ
ejpam-5303	101	26	λ2)t	λ2)t	PROPN
ejpam-5303	101	27	k	k	PROPN
ejpam-5303	101	28	≥	≥	NUM
ejpam-5303	101	29	0	0	NUM
ejpam-5303	101	30	,	,	PUNCT
ejpam-5303	101	31	for	for	ADP
ejpam-5303	101	32	all	all	DET
ejpam-5303	101	33	λ	λ	PROPN
ejpam-5303	101	34	>	>	X
ejpam-5303	101	35	0	0	X
ejpam-5303	101	36	.	.	PUNCT
ejpam-5303	102	1	now	now	ADV
ejpam-5303	102	2	,	,	PUNCT
ejpam-5303	102	3	from	from	ADP
ejpam-5303	102	4	the	the	DET
ejpam-5303	102	5	properties	property	NOUN
ejpam-5303	102	6	of	of	ADP
ejpam-5303	102	7	tensor	tensor	NOUN
ejpam-5303	102	8	product	product	NOUN
ejpam-5303	102	9	(	(	PUNCT
ejpam-5303	102	10	see	see	VERB
ejpam-5303	102	11	[	[	X
ejpam-5303	102	12	11	11	NUM
ejpam-5303	102	13	]	]	PUNCT
ejpam-5303	102	14	,	,	PUNCT
ejpam-5303	102	15	[	[	X
ejpam-5303	102	16	14	14	NUM
ejpam-5303	102	17	]	]	PUNCT
ejpam-5303	102	18	)	)	PUNCT
ejpam-5303	102	19	we	we	PRON
ejpam-5303	102	20	have	have	VERB
ejpam-5303	102	21	:	:	PUNCT
ejpam-5303	102	22	(	(	PUNCT
ejpam-5303	102	23	t	t	PROPN
ejpam-5303	102	24	⊗	⊗	PROPN
ejpam-5303	102	25	i)∗k[m2(t	i)∗k[m2(t	PROPN
ejpam-5303	102	26	⊗	⊗	PROPN
ejpam-5303	102	27	i)∗2(t	i)∗2(t	PROPN
ejpam-5303	102	28	⊗	⊗	ADJ
ejpam-5303	102	29	i)2	i)2	PROPN
ejpam-5303	102	30	−	−	PROPN
ejpam-5303	102	31	2λ(t	2λ(t	NUM
ejpam-5303	103	1	⊗	⊗	NOUN
ejpam-5303	103	2	i)∗(t	i)∗(t	PROPN
ejpam-5303	104	1	⊗	⊗	NUM
ejpam-5303	104	2	i	i	NOUN
ejpam-5303	104	3	)	)	PUNCT
ejpam-5303	105	1	+	+	CCONJ
ejpam-5303	106	1	λ2](t	λ2](t	VERB
ejpam-5303	106	2	⊗	⊗	ADJ
ejpam-5303	106	3	i)k	i)k	NOUN
ejpam-5303	107	1	=	=	PUNCT
ejpam-5303	107	2	(	(	PUNCT
ejpam-5303	107	3	t	t	PROPN
ejpam-5303	107	4	∗k	∗k	NOUN
ejpam-5303	107	5	⊗	⊗	PROPN
ejpam-5303	107	6	i)[m2(t	i)[m2(t	PROPN
ejpam-5303	107	7	∗2	∗2	PROPN
ejpam-5303	107	8	t	t	NOUN
ejpam-5303	107	9	2	2	NUM
ejpam-5303	107	10	⊗	⊗	PROPN
ejpam-5303	107	11	i)−	i)−	PROPN
ejpam-5303	107	12	2λ(t	2λ(t	PROPN
ejpam-5303	107	13	∗t	∗t	PROPN
ejpam-5303	107	14	⊗	⊗	PROPN
ejpam-5303	107	15	i	i	PROPN
ejpam-5303	107	16	)	)	PUNCT
ejpam-5303	108	1	+	+	CCONJ
ejpam-5303	108	2	λ2](t	λ2](t	PROPN
ejpam-5303	108	3	k	k	PROPN
ejpam-5303	108	4	⊗	⊗	PROPN
ejpam-5303	108	5	i	i	PROPN
ejpam-5303	108	6	)	)	PUNCT
ejpam-5303	109	1	=	=	PUNCT
ejpam-5303	110	1	[	[	X
ejpam-5303	110	2	t	t	X
ejpam-5303	110	3	∗k(m2	∗k(m2	NOUN
ejpam-5303	110	4	t	t	PROPN
ejpam-5303	110	5	∗2	∗2	PROPN
ejpam-5303	110	6	t	t	PROPN
ejpam-5303	110	7	2	2	NUM
ejpam-5303	110	8	−	−	NOUN
ejpam-5303	110	9	2λt	2λt	ADJ
ejpam-5303	110	10	∗t	∗t	ADJ
ejpam-5303	110	11	+	+	CCONJ
ejpam-5303	110	12	λ2)t	λ2)t	PROPN
ejpam-5303	110	13	k]⊗	k]⊗	NOUN
ejpam-5303	110	14	i	i	PRON
ejpam-5303	110	15	≥	≥	VERB
ejpam-5303	110	16	0	0	NUM
ejpam-5303	110	17	.	.	PUNCT
ejpam-5303	111	1	therefore	therefore	ADV
ejpam-5303	111	2	,	,	PUNCT
ejpam-5303	111	3	t	t	PROPN
ejpam-5303	111	4	⊗	⊗	PROPN
ejpam-5303	111	5	i	i	PRON
ejpam-5303	111	6	is	be	AUX
ejpam-5303	111	7	(	(	PUNCT
ejpam-5303	111	8	m	m	PROPN
ejpam-5303	111	9	,	,	PUNCT
ejpam-5303	111	10	k)−quasi	k)−quasi	ADJ
ejpam-5303	111	11	paranormal	paranormal	ADJ
ejpam-5303	111	12	operator	operator	NOUN
ejpam-5303	111	13	.	.	PUNCT
ejpam-5303	112	1	similarly	similarly	ADV
ejpam-5303	112	2	,	,	PUNCT
ejpam-5303	112	3	i	i	PRON
ejpam-5303	112	4	⊗	⊗	PROPN
ejpam-5303	112	5	t	t	PROPN
ejpam-5303	112	6	is	be	AUX
ejpam-5303	112	7	(	(	PUNCT
ejpam-5303	112	8	m	m	PROPN
ejpam-5303	112	9	,	,	PUNCT
ejpam-5303	112	10	k)−quasi	k)−quasi	ADJ
ejpam-5303	112	11	paranormal	paranormal	ADJ
ejpam-5303	112	12	operator	operator	NOUN
ejpam-5303	112	13	.	.	PUNCT
ejpam-5303	113	1	theorem	theorem	VERB
ejpam-5303	113	2	8	8	NUM
ejpam-5303	113	3	.	.	PUNCT
ejpam-5303	114	1	if	if	SCONJ
ejpam-5303	114	2	t	t	PROPN
ejpam-5303	114	3	∈	∈	PROPN
ejpam-5303	114	4	l(h	l(h	PROPN
ejpam-5303	114	5	)	)	PUNCT
ejpam-5303	114	6	is	be	AUX
ejpam-5303	114	7	a	a	DET
ejpam-5303	114	8	regular	regular	ADJ
ejpam-5303	114	9	(	(	PUNCT
ejpam-5303	114	10	m	m	PROPN
ejpam-5303	114	11	,	,	PUNCT
ejpam-5303	114	12	k)−quasi	k)−quasi	ADJ
ejpam-5303	114	13	paranormal	paranormal	ADJ
ejpam-5303	114	14	operator	operator	NOUN
ejpam-5303	114	15	,	,	PUNCT
ejpam-5303	114	16	then	then	ADV
ejpam-5303	114	17	the	the	DET
ejpam-5303	114	18	approximate	approximate	ADJ
ejpam-5303	114	19	point	point	NOUN
ejpam-5303	114	20	spectrum	spectrum	NOUN
ejpam-5303	114	21	of	of	ADP
ejpam-5303	114	22	operator	operator	NOUN
ejpam-5303	114	23	t	t	PROPN
ejpam-5303	114	24	lies	lie	VERB
ejpam-5303	114	25	in	in	ADP
ejpam-5303	114	26	the	the	DET
ejpam-5303	114	27	disc	disc	NOUN
ejpam-5303	114	28	σa(t	σa(t	PUNCT
ejpam-5303	114	29	)	)	PUNCT
ejpam-5303	114	30	⊆	⊆	NUM
ejpam-5303	114	31	{	{	PUNCT
ejpam-5303	114	32	λ	λ	X
ejpam-5303	114	33	∈	∈	PROPN
ejpam-5303	114	34	c	c	NOUN
ejpam-5303	114	35	:	:	PUNCT
ejpam-5303	114	36	1√	1√	PROPN
ejpam-5303	114	37	m∥t−k−1∥	m∥t−k−1∥	PROPN
ejpam-5303	114	38	·	·	PUNCT
ejpam-5303	114	39	√	√	ADP
ejpam-5303	115	1	∥t	∥t	INTJ
ejpam-5303	115	2	k+1∥	k+1∥	X
ejpam-5303	115	3	·	·	PUNCT
ejpam-5303	115	4	∥t	∥t	ADJ
ejpam-5303	115	5	k−1∥	k−1∥	NOUN
ejpam-5303	115	6	≤	≤	NUM
ejpam-5303	115	7	|λ|	|λ|	NOUN
ejpam-5303	115	8	≤	≤	NOUN
ejpam-5303	115	9	∥t∥	∥t∥	ADV
ejpam-5303	115	10	}	}	PUNCT
ejpam-5303	115	11	.	.	PUNCT
ejpam-5303	116	1	proof	proof	NOUN
ejpam-5303	116	2	.	.	PUNCT
ejpam-5303	117	1	suppose	suppose	VERB
ejpam-5303	117	2	that	that	SCONJ
ejpam-5303	117	3	t	t	PROPN
ejpam-5303	117	4	is	be	AUX
ejpam-5303	117	5	a	a	DET
ejpam-5303	117	6	regular	regular	ADJ
ejpam-5303	117	7	(	(	PUNCT
ejpam-5303	117	8	m	m	PROPN
ejpam-5303	117	9	,	,	PUNCT
ejpam-5303	117	10	k)−quasi	k)−quasi	ADJ
ejpam-5303	117	11	paranormal	paranormal	ADJ
ejpam-5303	117	12	operator	operator	NOUN
ejpam-5303	117	13	.	.	PUNCT
ejpam-5303	118	1	for	for	ADP
ejpam-5303	118	2	every	every	DET
ejpam-5303	118	3	unit	unit	NOUN
ejpam-5303	118	4	vector	vector	NOUN
ejpam-5303	118	5	x	x	PUNCT
ejpam-5303	118	6	in	in	ADP
ejpam-5303	118	7	hilbert	hilbert	NOUN
ejpam-5303	118	8	space	space	NOUN
ejpam-5303	118	9	h	h	NOUN
ejpam-5303	118	10	,	,	PUNCT
ejpam-5303	118	11	we	we	PRON
ejpam-5303	118	12	have	have	VERB
ejpam-5303	118	13	:	:	PUNCT
ejpam-5303	118	14	∥x∥2	∥x∥2	NOUN
ejpam-5303	118	15	=	=	SYM
ejpam-5303	118	16	∥t−k−1	∥t−k−1	PROPN
ejpam-5303	118	17	·	·	PUNCT
ejpam-5303	118	18	t	t	PROPN
ejpam-5303	118	19	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	118	20	≤∥t−k−1∥2	≤∥t−k−1∥2	PROPN
ejpam-5303	118	21	·	·	PUNCT
ejpam-5303	118	22	∥t	∥t	ADJ
ejpam-5303	118	23	k+1x∥2	k+1x∥2	NOUN
ejpam-5303	118	24	≤∥t−k−1∥2	≤∥t−k−1∥2	PROPN
ejpam-5303	118	25	·	·	SYM
ejpam-5303	118	26	m	m	PROPN
ejpam-5303	118	27	·	·	PUNCT
ejpam-5303	118	28	∥t	∥t	ADJ
ejpam-5303	118	29	k+2x∥	k+2x∥	NOUN
ejpam-5303	118	30	·	·	PUNCT
ejpam-5303	118	31	∥t	∥t	ADJ
ejpam-5303	118	32	kx∥	kx∥	NOUN
ejpam-5303	118	33	≤m	≤m	NOUN
ejpam-5303	118	34	·	·	PUNCT
ejpam-5303	118	35	∥t−k−1∥2	∥t−k−1∥2	NUM
ejpam-5303	118	36	·	·	PUNCT
ejpam-5303	118	37	∥t	∥t	ADJ
ejpam-5303	118	38	k+1∥	k+1∥	X
ejpam-5303	118	39	·	·	PUNCT
ejpam-5303	118	40	∥tx∥	∥tx∥	ADJ
ejpam-5303	118	41	·	·	PUNCT
ejpam-5303	118	42	∥t	∥t	ADJ
ejpam-5303	118	43	k−1∥	k−1∥	X
ejpam-5303	118	44	·	·	PUNCT
ejpam-5303	118	45	∥tx∥	∥tx∥	NOUN
ejpam-5303	119	1	=	=	NOUN
ejpam-5303	119	2	m	m	NOUN
ejpam-5303	119	3	·	·	PUNCT
ejpam-5303	119	4	∥t−k−1∥2	∥t−k−1∥2	NUM
ejpam-5303	119	5	·	·	PUNCT
ejpam-5303	119	6	∥t	∥t	ADJ
ejpam-5303	119	7	k+1∥	k+1∥	X
ejpam-5303	119	8	·	·	PUNCT
ejpam-5303	119	9	∥t	∥t	ADJ
ejpam-5303	119	10	k−1∥	k−1∥	X
ejpam-5303	119	11	·	·	PUNCT
ejpam-5303	119	12	∥tx∥2	∥tx∥2	PROPN
ejpam-5303	119	13	.	.	PUNCT
ejpam-5303	120	1	so	so	ADV
ejpam-5303	120	2	,	,	PUNCT
ejpam-5303	120	3	1	1	NUM
ejpam-5303	120	4	≤	≤	NUM
ejpam-5303	120	5	m	m	VERB
ejpam-5303	120	6	·	·	PUNCT
ejpam-5303	121	1	∥t−k−1∥2	∥t−k−1∥2	NUM
ejpam-5303	121	2	·	·	PUNCT
ejpam-5303	121	3	∥t	∥t	ADJ
ejpam-5303	121	4	k+1∥	k+1∥	X
ejpam-5303	121	5	·	·	PUNCT
ejpam-5303	121	6	∥t	∥t	ADJ
ejpam-5303	121	7	k−1∥	k−1∥	X
ejpam-5303	121	8	·	·	PUNCT
ejpam-5303	121	9	∥tx∥2	∥tx∥2	PROPN
ejpam-5303	121	10	,	,	PUNCT
ejpam-5303	121	11	where	where	SCONJ
ejpam-5303	121	12	we	we	PRON
ejpam-5303	121	13	have	have	VERB
ejpam-5303	121	14	∥tx∥	∥tx∥	ADJ
ejpam-5303	121	15	≥	≥	PROPN
ejpam-5303	121	16	1√	1√	PROPN
ejpam-5303	121	17	m∥t−k−1∥	m∥t−k−1∥	PROPN
ejpam-5303	121	18	·	·	PUNCT
ejpam-5303	121	19	√	√	ADP
ejpam-5303	121	20	∥t	∥t	INTJ
ejpam-5303	121	21	k+1∥	k+1∥	X
ejpam-5303	121	22	·	·	PUNCT
ejpam-5303	121	23	∥t	∥t	ADJ
ejpam-5303	121	24	k−1∥	k−1∥	NOUN
ejpam-5303	121	25	.	.	PUNCT
ejpam-5303	122	1	now	now	ADV
ejpam-5303	122	2	,	,	PUNCT
ejpam-5303	122	3	assume	assume	VERB
ejpam-5303	122	4	that	that	SCONJ
ejpam-5303	122	5	λ	λ	PROPN
ejpam-5303	122	6	∈	∈	PROPN
ejpam-5303	122	7	σa(t	σa(t	PUNCT
ejpam-5303	122	8	)	)	PUNCT
ejpam-5303	122	9	,	,	PUNCT
ejpam-5303	122	10	then	then	ADV
ejpam-5303	122	11	there	there	PRON
ejpam-5303	122	12	exists	exist	VERB
ejpam-5303	122	13	a	a	DET
ejpam-5303	122	14	sequence	sequence	NOUN
ejpam-5303	122	15	(	(	PUNCT
ejpam-5303	122	16	xn	xn	PROPN
ejpam-5303	122	17	)	)	PUNCT
ejpam-5303	122	18	,	,	PUNCT
ejpam-5303	122	19	such	such	ADJ
ejpam-5303	122	20	as	as	ADP
ejpam-5303	122	21	∥xn∥	∥xn∥	PROPN
ejpam-5303	122	22	=	=	SYM
ejpam-5303	122	23	1	1	NUM
ejpam-5303	122	24	and	and	CCONJ
ejpam-5303	122	25	∥(t	∥(t	VERB
ejpam-5303	122	26	−	−	PUNCT
ejpam-5303	122	27	λi)xn∥	λi)xn∥	X
ejpam-5303	122	28	→	→	SYM
ejpam-5303	122	29	0	0	NUM
ejpam-5303	122	30	,	,	PUNCT
ejpam-5303	122	31	n	n	NOUN
ejpam-5303	122	32	→	→	SYM
ejpam-5303	122	33	+	+	PROPN
ejpam-5303	122	34	∞.	∞.	PROPN
ejpam-5303	122	35	v.	v.	PROPN
ejpam-5303	122	36	r.	r.	PROPN
ejpam-5303	122	37	hamiti	hamiti	PROPN
ejpam-5303	122	38	,	,	PUNCT
ejpam-5303	122	39	sh	sh	PROPN
ejpam-5303	122	40	.	.	PROPN
ejpam-5303	122	41	makolli	makolli	PROPN
ejpam-5303	122	42	/	/	SYM
ejpam-5303	122	43	eur	eur	PROPN
ejpam-5303	122	44	.	.	PUNCT
ejpam-5303	123	1	j.	j.	PROPN
ejpam-5303	123	2	pure	pure	PROPN
ejpam-5303	123	3	appl	appl	PROPN
ejpam-5303	123	4	.	.	PROPN
ejpam-5303	123	5	math	math	PROPN
ejpam-5303	123	6	,	,	PUNCT
ejpam-5303	123	7	17	17	NUM
ejpam-5303	123	8	(	(	PUNCT
ejpam-5303	123	9	3	3	NUM
ejpam-5303	123	10	)	)	PUNCT
ejpam-5303	123	11	(	(	PUNCT
ejpam-5303	123	12	2024	2024	NUM
ejpam-5303	123	13	)	)	PUNCT
ejpam-5303	123	14	,	,	PUNCT
ejpam-5303	123	15	2073	2073	NUM
ejpam-5303	123	16	-	-	SYM
ejpam-5303	123	17	2083	2083	NUM
ejpam-5303	123	18	2079	2079	NUM
ejpam-5303	123	19	from	from	ADP
ejpam-5303	123	20	the	the	DET
ejpam-5303	123	21	last	last	ADJ
ejpam-5303	123	22	inequation	inequation	NOUN
ejpam-5303	123	23	we	we	PRON
ejpam-5303	123	24	have	have	VERB
ejpam-5303	123	25	:	:	PUNCT
ejpam-5303	123	26	∥txn	∥txn	VERB
ejpam-5303	123	27	−	−	PROPN
ejpam-5303	123	28	λxn∥	λxn∥	SYM
ejpam-5303	123	29	≥	≥	PROPN
ejpam-5303	123	30	∥txn∥	∥txn∥	PUNCT
ejpam-5303	124	1	−	−	PROPN
ejpam-5303	124	2	|λ|	|λ|	PROPN
ejpam-5303	124	3	·	·	PUNCT
ejpam-5303	124	4	∥xn∥	∥xn∥	PROPN
ejpam-5303	124	5	≥	≥	PROPN
ejpam-5303	124	6	1√	1√	PROPN
ejpam-5303	124	7	m∥t−k−1∥	m∥t−k−1∥	PROPN
ejpam-5303	124	8	·	·	PUNCT
ejpam-5303	124	9	√	√	ADP
ejpam-5303	124	10	∥t	∥t	INTJ
ejpam-5303	124	11	k+1∥	k+1∥	X
ejpam-5303	124	12	·	·	PUNCT
ejpam-5303	124	13	∥t	∥t	ADJ
ejpam-5303	124	14	k−1∥	k−1∥	NOUN
ejpam-5303	124	15	−	−	PROPN
ejpam-5303	124	16	|λ|	|λ|	PROPN
ejpam-5303	124	17	.	.	PUNCT
ejpam-5303	125	1	now	now	ADV
ejpam-5303	125	2	,	,	PUNCT
ejpam-5303	125	3	when	when	SCONJ
ejpam-5303	125	4	n	n	X
ejpam-5303	125	5	→	→	SYM
ejpam-5303	125	6	+	+	NOUN
ejpam-5303	125	7	∞	∞	NOUN
ejpam-5303	125	8	we	we	PRON
ejpam-5303	125	9	have	have	VERB
ejpam-5303	125	10	|λ|	|λ|	PROPN
ejpam-5303	125	11	≥	≥	NUM
ejpam-5303	125	12	1√	1√	PROPN
ejpam-5303	125	13	m∥t−k−1∥	m∥t−k−1∥	PROPN
ejpam-5303	125	14	·	·	PUNCT
ejpam-5303	125	15	√	√	ADP
ejpam-5303	126	1	∥t	∥t	INTJ
ejpam-5303	126	2	k+1∥	k+1∥	X
ejpam-5303	126	3	·	·	PUNCT
ejpam-5303	126	4	∥t	∥t	ADJ
ejpam-5303	126	5	k−1∥	k−1∥	NOUN
ejpam-5303	126	6	.	.	PUNCT
ejpam-5303	127	1	so	so	ADV
ejpam-5303	127	2	,	,	PUNCT
ejpam-5303	127	3	we	we	PRON
ejpam-5303	127	4	have	have	VERB
ejpam-5303	127	5	σa(t	σa(t	PUNCT
ejpam-5303	127	6	)	)	PUNCT
ejpam-5303	128	1	⊆	⊆	X
ejpam-5303	128	2	{	{	PUNCT
ejpam-5303	128	3	λ	λ	X
ejpam-5303	128	4	∈	∈	PROPN
ejpam-5303	128	5	c	c	NOUN
ejpam-5303	128	6	:	:	PUNCT
ejpam-5303	128	7	1√	1√	PROPN
ejpam-5303	128	8	m∥t−k−1∥	m∥t−k−1∥	PROPN
ejpam-5303	128	9	·	·	PUNCT
ejpam-5303	128	10	√	√	ADP
ejpam-5303	128	11	∥t	∥t	INTJ
ejpam-5303	128	12	k+1∥	k+1∥	X
ejpam-5303	128	13	·	·	PUNCT
ejpam-5303	128	14	∥t	∥t	ADJ
ejpam-5303	128	15	k−1∥	k−1∥	NOUN
ejpam-5303	128	16	≤	≤	NUM
ejpam-5303	128	17	|λ|	|λ|	NOUN
ejpam-5303	128	18	≤	≤	NOUN
ejpam-5303	128	19	∥t∥	∥t∥	ADV
ejpam-5303	128	20	}	}	PUNCT
ejpam-5303	128	21	.	.	PUNCT
ejpam-5303	129	1	3	3	X
ejpam-5303	129	2	.	.	NOUN
ejpam-5303	129	3	matrix	matrix	NOUN
ejpam-5303	129	4	representation	representation	NOUN
ejpam-5303	129	5	of	of	ADP
ejpam-5303	129	6	(	(	PUNCT
ejpam-5303	129	7	m	m	PROPN
ejpam-5303	129	8	,	,	PUNCT
ejpam-5303	129	9	k)−quasi	k)−quasi	PROPN
ejpam-5303	129	10	paranormal	paranormal	ADJ
ejpam-5303	129	11	operators	operator	NOUN
ejpam-5303	129	12	in	in	ADP
ejpam-5303	129	13	this	this	DET
ejpam-5303	129	14	section	section	NOUN
ejpam-5303	129	15	we	we	PRON
ejpam-5303	129	16	represent	represent	VERB
ejpam-5303	129	17	some	some	DET
ejpam-5303	129	18	results	result	NOUN
ejpam-5303	129	19	for	for	ADP
ejpam-5303	129	20	the	the	DET
ejpam-5303	129	21	matrix	matrix	NOUN
ejpam-5303	129	22	representation	representation	NOUN
ejpam-5303	129	23	of	of	ADP
ejpam-5303	129	24	(	(	PUNCT
ejpam-5303	129	25	m	m	PROPN
ejpam-5303	129	26	,	,	PUNCT
ejpam-5303	129	27	k)−quasi	k)−quasi	PROPN
ejpam-5303	129	28	paranormal	paranormal	PROPN
ejpam-5303	129	29	operators	operator	NOUN
ejpam-5303	129	30	.	.	PUNCT
ejpam-5303	130	1	theorem	theorem	NOUN
ejpam-5303	130	2	9	9	NUM
ejpam-5303	130	3	.	.	PUNCT
ejpam-5303	131	1	let	let	AUX
ejpam-5303	131	2	t	t	PROPN
ejpam-5303	131	3	∈	∈	PROPN
ejpam-5303	131	4	l(h⊕h	l(h⊕h	PROPN
ejpam-5303	131	5	)	)	PUNCT
ejpam-5303	131	6	be	be	VERB
ejpam-5303	131	7	the	the	DET
ejpam-5303	131	8	operator	operator	NOUN
ejpam-5303	131	9	defined	define	VERB
ejpam-5303	131	10	as	as	ADP
ejpam-5303	131	11	t	t	PROPN
ejpam-5303	131	12	=	=	PUNCT
ejpam-5303	131	13	(	(	PUNCT
ejpam-5303	131	14	a	a	DET
ejpam-5303	131	15	b	b	NOUN
ejpam-5303	131	16	0	0	NUM
ejpam-5303	131	17	0	0	NUM
ejpam-5303	131	18	)	)	PUNCT
ejpam-5303	131	19	.	.	PUNCT
ejpam-5303	132	1	if	if	SCONJ
ejpam-5303	132	2	a	a	PRON
ejpam-5303	132	3	is	be	AUX
ejpam-5303	132	4	a	a	DET
ejpam-5303	132	5	m−paranormal	m−paranormal	ADJ
ejpam-5303	132	6	operator	operator	NOUN
ejpam-5303	132	7	,	,	PUNCT
ejpam-5303	132	8	then	then	ADV
ejpam-5303	132	9	t	t	PROPN
ejpam-5303	132	10	is	be	AUX
ejpam-5303	132	11	a	a	DET
ejpam-5303	132	12	(	(	PUNCT
ejpam-5303	132	13	m	m	PROPN
ejpam-5303	132	14	,	,	PUNCT
ejpam-5303	132	15	k)−quasi	k)−quasi	ADJ
ejpam-5303	132	16	paranormal	paranormal	ADJ
ejpam-5303	132	17	operator	operator	NOUN
ejpam-5303	132	18	.	.	PUNCT
ejpam-5303	133	1	proof	proof	NOUN
ejpam-5303	133	2	.	.	PUNCT
ejpam-5303	134	1	let	let	VERB
ejpam-5303	135	1	d	d	NOUN
ejpam-5303	135	2	=	=	SYM
ejpam-5303	135	3	m2a∗2a2	m2a∗2a2	PROPN
ejpam-5303	135	4	−	−	PROPN
ejpam-5303	135	5	2λa∗a+	2λa∗a+	NUM
ejpam-5303	135	6	λ2	λ2	NOUN
ejpam-5303	135	7	.	.	PUNCT
ejpam-5303	136	1	similarly	similarly	ADV
ejpam-5303	136	2	as	as	ADP
ejpam-5303	136	3	[	[	X
ejpam-5303	136	4	9	9	NUM
ejpam-5303	136	5	,	,	PUNCT
ejpam-5303	136	6	proposition	proposition	NOUN
ejpam-5303	136	7	9	9	NUM
ejpam-5303	136	8	]	]	PUNCT
ejpam-5303	136	9	we	we	PRON
ejpam-5303	136	10	have	have	VERB
ejpam-5303	136	11	:	:	PUNCT
ejpam-5303	136	12	t	t	NOUN
ejpam-5303	136	13	∗	∗	NOUN
ejpam-5303	136	14	=	=	PUNCT
ejpam-5303	136	15	(	(	PUNCT
ejpam-5303	136	16	a∗	a∗	NOUN
ejpam-5303	136	17	0	0	SYM
ejpam-5303	136	18	b∗	b∗	ADJ
ejpam-5303	136	19	0	0	NUM
ejpam-5303	136	20	)	)	PUNCT
ejpam-5303	136	21	,	,	PUNCT
ejpam-5303	136	22	t	t	PROPN
ejpam-5303	136	23	∗(k+2	∗(k+2	PUNCT
ejpam-5303	136	24	)	)	PUNCT
ejpam-5303	136	25	=	=	PRON
ejpam-5303	136	26	(	(	PUNCT
ejpam-5303	136	27	a∗(k+2	a∗(k+2	NUM
ejpam-5303	136	28	)	)	PUNCT
ejpam-5303	136	29	0	0	NUM
ejpam-5303	137	1	b∗a∗(k+1	b∗a∗(k+1	NOUN
ejpam-5303	137	2	)	)	PUNCT
ejpam-5303	137	3	0	0	NUM
ejpam-5303	137	4	)	)	PUNCT
ejpam-5303	137	5	,	,	PUNCT
ejpam-5303	137	6	t	t	PROPN
ejpam-5303	137	7	(	(	PUNCT
ejpam-5303	137	8	k+2	k+2	NUM
ejpam-5303	137	9	)	)	PUNCT
ejpam-5303	137	10	=	=	SYM
ejpam-5303	137	11	(	(	PUNCT
ejpam-5303	137	12	a(k+2	a(k+2	NUM
ejpam-5303	137	13	)	)	PUNCT
ejpam-5303	137	14	a(k+1)b	a(k+1)b	NOUN
ejpam-5303	137	15	0	0	NUM
ejpam-5303	137	16	0	0	NUM
ejpam-5303	137	17	)	)	PUNCT
ejpam-5303	137	18	,	,	PUNCT
ejpam-5303	137	19	t	t	PROPN
ejpam-5303	137	20	∗(k+2)t	∗(k+2)t	PROPN
ejpam-5303	137	21	(	(	PUNCT
ejpam-5303	137	22	k+2	k+2	NUM
ejpam-5303	137	23	)	)	PUNCT
ejpam-5303	137	24	=	=	SYM
ejpam-5303	137	25	(	(	PUNCT
ejpam-5303	137	26	a∗(k+2)a(k+2	a∗(k+2)a(k+2	NUM
ejpam-5303	137	27	)	)	PUNCT
ejpam-5303	137	28	a∗(k+2)a(k+1)b	a∗(k+2)a(k+1)b	PROPN
ejpam-5303	138	1	b∗a∗(k+1)a(k+2	b∗a∗(k+1)a(k+2	NOUN
ejpam-5303	138	2	)	)	PUNCT
ejpam-5303	138	3	b∗a∗(k+1)a(k+1)b	b∗a∗(k+1)a(k+1)b	PROPN
ejpam-5303	138	4	)	)	PUNCT
ejpam-5303	138	5	.	.	PUNCT
ejpam-5303	139	1	after	after	ADP
ejpam-5303	139	2	some	some	DET
ejpam-5303	139	3	calculations	calculation	NOUN
ejpam-5303	139	4	,	,	PUNCT
ejpam-5303	139	5	we	we	PRON
ejpam-5303	139	6	have	have	VERB
ejpam-5303	139	7	:	:	PUNCT
ejpam-5303	139	8	t	t	PROPN
ejpam-5303	139	9	∗k(m2	∗k(m2	PROPN
ejpam-5303	139	10	t	t	PROPN
ejpam-5303	139	11	∗2	∗2	PROPN
ejpam-5303	139	12	t	t	PROPN
ejpam-5303	139	13	2	2	NUM
ejpam-5303	139	14	−	−	NOUN
ejpam-5303	139	15	2λt	2λt	ADJ
ejpam-5303	140	1	∗t	∗t	ADJ
ejpam-5303	141	1	+	+	CCONJ
ejpam-5303	142	1	λ2)t	λ2)t	ADJ
ejpam-5303	142	2	k	k	PROPN
ejpam-5303	142	3	=	=	SYM
ejpam-5303	142	4	m2	m2	PROPN
ejpam-5303	142	5	t	t	PROPN
ejpam-5303	142	6	∗(k+2)t	∗(k+2)t	PROPN
ejpam-5303	142	7	(	(	PUNCT
ejpam-5303	142	8	k+2	k+2	NOUN
ejpam-5303	142	9	)	)	PUNCT
ejpam-5303	142	10	−	−	PROPN
ejpam-5303	142	11	2λt	2λt	PROPN
ejpam-5303	142	12	∗(k+1)t	∗(k+1)t	PROPN
ejpam-5303	142	13	(	(	PUNCT
ejpam-5303	142	14	k+1	k+1	NOUN
ejpam-5303	142	15	)	)	PUNCT
ejpam-5303	143	1	+	+	SYM
ejpam-5303	143	2	λ2	λ2	NOUN
ejpam-5303	143	3	t	t	NOUN
ejpam-5303	143	4	∗kt	∗kt	SYM
ejpam-5303	143	5	k	k	X
ejpam-5303	143	6	=	=	PUNCT
ejpam-5303	143	7	(	(	PUNCT
ejpam-5303	143	8	a∗kdak	a∗kdak	ADV
ejpam-5303	143	9	a∗kda(k−1)b	a∗kda(k−1)b	PROPN
ejpam-5303	143	10	b∗a∗(k−1)dak	b∗a∗(k−1)dak	PROPN
ejpam-5303	143	11	b∗a∗(k−1)da(k−1)b	b∗a∗(k−1)da(k−1)b	PROPN
ejpam-5303	143	12	)	)	PUNCT
ejpam-5303	144	1	v.	v.	PROPN
ejpam-5303	144	2	r.	r.	PROPN
ejpam-5303	144	3	hamiti	hamiti	PROPN
ejpam-5303	144	4	,	,	PUNCT
ejpam-5303	144	5	sh	sh	PROPN
ejpam-5303	144	6	.	.	PROPN
ejpam-5303	144	7	makolli	makolli	PROPN
ejpam-5303	144	8	/	/	SYM
ejpam-5303	144	9	eur	eur	PROPN
ejpam-5303	144	10	.	.	PUNCT
ejpam-5303	145	1	j.	j.	PROPN
ejpam-5303	145	2	pure	pure	PROPN
ejpam-5303	145	3	appl	appl	PROPN
ejpam-5303	145	4	.	.	PROPN
ejpam-5303	145	5	math	math	PROPN
ejpam-5303	145	6	,	,	PUNCT
ejpam-5303	145	7	17	17	NUM
ejpam-5303	145	8	(	(	PUNCT
ejpam-5303	145	9	3	3	NUM
ejpam-5303	145	10	)	)	PUNCT
ejpam-5303	145	11	(	(	PUNCT
ejpam-5303	145	12	2024	2024	NUM
ejpam-5303	145	13	)	)	PUNCT
ejpam-5303	145	14	,	,	PUNCT
ejpam-5303	145	15	2073	2073	NUM
ejpam-5303	145	16	-	-	SYM
ejpam-5303	145	17	2083	2083	NUM
ejpam-5303	145	18	2080	2080	NUM
ejpam-5303	145	19	let	let	VERB
ejpam-5303	145	20	u	u	NOUN
ejpam-5303	145	21	=	=	PROPN
ejpam-5303	145	22	x⊕	x⊕	PROPN
ejpam-5303	145	23	y	y	PROPN
ejpam-5303	145	24	∈	∈	PROPN
ejpam-5303	145	25	h	h	NOUN
ejpam-5303	145	26	⊕h	⊕h	NOUN
ejpam-5303	145	27	.	.	PUNCT
ejpam-5303	146	1	then	then	ADV
ejpam-5303	146	2	,	,	PUNCT
ejpam-5303	146	3	⟨(t	⟨(t	PROPN
ejpam-5303	146	4	∗(k+2)t	∗(k+2)t	PROPN
ejpam-5303	146	5	(	(	PUNCT
ejpam-5303	146	6	k+2	k+2	NOUN
ejpam-5303	146	7	)	)	PUNCT
ejpam-5303	146	8	−	−	PROPN
ejpam-5303	146	9	2λt	2λt	PROPN
ejpam-5303	146	10	∗(k+1)t	∗(k+1)t	PROPN
ejpam-5303	146	11	(	(	PUNCT
ejpam-5303	146	12	k+1	k+1	NOUN
ejpam-5303	146	13	)	)	PUNCT
ejpam-5303	146	14	+	+	SYM
ejpam-5303	146	15	λ2	λ2	PROPN
ejpam-5303	146	16	t	t	NOUN
ejpam-5303	146	17	∗kt	∗kt	NUM
ejpam-5303	146	18	k)u	k)u	NOUN
ejpam-5303	146	19	,	,	PUNCT
ejpam-5303	146	20	u⟩	u⟩	NOUN
ejpam-5303	146	21	=	=	PUNCT
ejpam-5303	146	22	⟨a∗kdakx	⟨a∗kdakx	NOUN
ejpam-5303	146	23	,	,	PUNCT
ejpam-5303	146	24	x⟩+	x⟩+	PROPN
ejpam-5303	146	25	⟨a∗kda(k−1)by	⟨a∗kda(k−1)by	PROPN
ejpam-5303	146	26	,	,	PUNCT
ejpam-5303	146	27	x⟩	x⟩	PUNCT
ejpam-5303	147	1	+	+	CCONJ
ejpam-5303	147	2	⟨b∗a∗(k−1)dakx	⟨b∗a∗(k−1)dakx	NUM
ejpam-5303	147	3	,	,	PUNCT
ejpam-5303	147	4	y⟩+	y⟩+	ADJ
ejpam-5303	147	5	⟨b∗a∗(k−1)da(k−1)by	⟨b∗a∗(k−1)da(k−1)by	NOUN
ejpam-5303	147	6	,	,	PUNCT
ejpam-5303	147	7	y⟩	y⟩	NOUN
ejpam-5303	147	8	=	=	PUNCT
ejpam-5303	148	1	⟨dakx	⟨dakx	X
ejpam-5303	148	2	,	,	PUNCT
ejpam-5303	148	3	akx⟩+	akx⟩+	NOUN
ejpam-5303	148	4	⟨da(k−1)by	⟨da(k−1)by	NOUN
ejpam-5303	148	5	,	,	PUNCT
ejpam-5303	148	6	akx⟩	akx⟩	NOUN
ejpam-5303	149	1	+	+	CCONJ
ejpam-5303	150	1	⟨dakx	⟨dakx	ADP
ejpam-5303	150	2	,	,	PUNCT
ejpam-5303	150	3	a(k−1)by⟩+	a(k−1)by⟩+	ADJ
ejpam-5303	150	4	⟨da(k−1)by	⟨da(k−1)by	NOUN
ejpam-5303	150	5	,	,	PUNCT
ejpam-5303	150	6	a(k−1)by⟩	a(k−1)by⟩	NOUN
ejpam-5303	150	7	=	=	SYM
ejpam-5303	150	8	⟨d(akx+a(k−1)by	⟨d(akx+a(k−1)by	PROPN
ejpam-5303	150	9	)	)	PUNCT
ejpam-5303	150	10	,	,	PUNCT
ejpam-5303	150	11	(	(	PUNCT
ejpam-5303	150	12	akx+a(k−1)by)⟩	akx+a(k−1)by)⟩	X
ejpam-5303	150	13	≥	≥	NOUN
ejpam-5303	150	14	0	0	NUM
ejpam-5303	150	15	because	because	SCONJ
ejpam-5303	150	16	a	a	PRON
ejpam-5303	150	17	is	be	AUX
ejpam-5303	150	18	a	a	DET
ejpam-5303	150	19	m−paranormal	m−paranormal	ADJ
ejpam-5303	150	20	operator	operator	NOUN
ejpam-5303	150	21	then	then	ADV
ejpam-5303	150	22	,	,	PUNCT
ejpam-5303	150	23	d	d	PROPN
ejpam-5303	150	24	=	=	PUNCT
ejpam-5303	150	25	a∗2a2	a∗2a2	PROPN
ejpam-5303	150	26	−	−	PROPN
ejpam-5303	151	1	2a∗a+	2a∗a+	NUM
ejpam-5303	151	2	i	i	PRON
ejpam-5303	151	3	≥	≥	VERB
ejpam-5303	151	4	0	0	NUM
ejpam-5303	151	5	,	,	PUNCT
ejpam-5303	151	6	so	so	SCONJ
ejpam-5303	151	7	this	this	PRON
ejpam-5303	151	8	proves	prove	VERB
ejpam-5303	151	9	the	the	DET
ejpam-5303	151	10	result	result	NOUN
ejpam-5303	151	11	.	.	PUNCT
ejpam-5303	152	1	theorem	theorem	ADJ
ejpam-5303	152	2	10	10	NUM
ejpam-5303	152	3	.	.	PUNCT
ejpam-5303	153	1	if	if	SCONJ
ejpam-5303	153	2	t	t	PROPN
ejpam-5303	153	3	k	k	PROPN
ejpam-5303	153	4	does	do	AUX
ejpam-5303	153	5	not	not	PART
ejpam-5303	153	6	have	have	VERB
ejpam-5303	153	7	a	a	DET
ejpam-5303	153	8	dense	dense	ADJ
ejpam-5303	153	9	range	range	NOUN
ejpam-5303	153	10	,	,	PUNCT
ejpam-5303	153	11	then	then	ADV
ejpam-5303	153	12	the	the	DET
ejpam-5303	153	13	following	following	ADJ
ejpam-5303	153	14	statements	statement	NOUN
ejpam-5303	153	15	are	be	AUX
ejpam-5303	153	16	equivalent	equivalent	ADJ
ejpam-5303	153	17	:	:	PUNCT
ejpam-5303	153	18	(	(	PUNCT
ejpam-5303	153	19	i	i	NOUN
ejpam-5303	153	20	)	)	PUNCT
ejpam-5303	153	21	operator	operator	NOUN
ejpam-5303	153	22	t	t	PROPN
ejpam-5303	153	23	is	be	AUX
ejpam-5303	153	24	a	a	DET
ejpam-5303	153	25	(	(	PUNCT
ejpam-5303	153	26	m	m	PROPN
ejpam-5303	153	27	,	,	PUNCT
ejpam-5303	153	28	k)−quasi	k)−quasi	ADJ
ejpam-5303	153	29	paranormal	paranormal	ADJ
ejpam-5303	153	30	operator	operator	NOUN
ejpam-5303	153	31	,	,	PUNCT
ejpam-5303	153	32	for	for	ADP
ejpam-5303	153	33	a	a	DET
ejpam-5303	153	34	non	non	ADJ
ejpam-5303	153	35	negative	negative	ADJ
ejpam-5303	153	36	integer	integer	NOUN
ejpam-5303	153	37	k	k	X
ejpam-5303	153	38	;	;	PUNCT
ejpam-5303	153	39	(	(	PUNCT
ejpam-5303	153	40	ii	ii	NOUN
ejpam-5303	153	41	)	)	PUNCT
ejpam-5303	153	42	t	t	NOUN
ejpam-5303	153	43	=	=	SYM
ejpam-5303	153	44	(	(	PUNCT
ejpam-5303	153	45	a	a	DET
ejpam-5303	153	46	b	b	NOUN
ejpam-5303	153	47	0	0	NUM
ejpam-5303	153	48	c	c	NOUN
ejpam-5303	153	49	)	)	PUNCT
ejpam-5303	153	50	on	on	ADP
ejpam-5303	153	51	h	h	PROPN
ejpam-5303	153	52	=	=	PROPN
ejpam-5303	153	53	t	t	PROPN
ejpam-5303	153	54	k(h	k(h	PROPN
ejpam-5303	153	55	)	)	PUNCT
ejpam-5303	153	56	⊕	⊕	PROPN
ejpam-5303	153	57	kert	kert	PROPN
ejpam-5303	153	58	∗k	∗k	PROPN
ejpam-5303	153	59	,	,	PUNCT
ejpam-5303	153	60	where	where	SCONJ
ejpam-5303	153	61	a	a	PRON
ejpam-5303	153	62	is	be	AUX
ejpam-5303	153	63	a	a	DET
ejpam-5303	153	64	m−paranormal	m−paranormal	ADJ
ejpam-5303	153	65	operator	operator	NOUN
ejpam-5303	153	66	on	on	ADP
ejpam-5303	153	67	t	t	PROPN
ejpam-5303	153	68	k(h	k(h	PROPN
ejpam-5303	153	69	)	)	PUNCT
ejpam-5303	153	70	,	,	PUNCT
ejpam-5303	153	71	ck	ck	NOUN
ejpam-5303	153	72	=	=	SYM
ejpam-5303	153	73	0	0	NUM
ejpam-5303	153	74	and	and	CCONJ
ejpam-5303	153	75	σ(t	σ(t	PROPN
ejpam-5303	153	76	)	)	PUNCT
ejpam-5303	154	1	=	=	SYM
ejpam-5303	154	2	σ(a	σ(a	PROPN
ejpam-5303	154	3	)	)	PUNCT
ejpam-5303	154	4	∪	∪	NOUN
ejpam-5303	154	5	{	{	PUNCT
ejpam-5303	154	6	0	0	NUM
ejpam-5303	154	7	}	}	PUNCT
ejpam-5303	154	8	.	.	PUNCT
ejpam-5303	155	1	proof	proof	NOUN
ejpam-5303	155	2	.	.	PUNCT
ejpam-5303	156	1	(	(	PUNCT
ejpam-5303	156	2	1	1	X
ejpam-5303	156	3	)	)	PUNCT
ejpam-5303	156	4	⇒	⇒	NOUN
ejpam-5303	156	5	(	(	PUNCT
ejpam-5303	156	6	2	2	X
ejpam-5303	156	7	)	)	PUNCT
ejpam-5303	156	8	similarly	similarly	ADV
ejpam-5303	156	9	as	as	ADP
ejpam-5303	156	10	[	[	X
ejpam-5303	156	11	9	9	NUM
ejpam-5303	156	12	,	,	PUNCT
ejpam-5303	156	13	proposition	proposition	NOUN
ejpam-5303	156	14	10	10	NUM
ejpam-5303	156	15	]	]	PUNCT
ejpam-5303	156	16	.	.	PUNCT
ejpam-5303	157	1	(	(	PUNCT
ejpam-5303	157	2	2	2	X
ejpam-5303	157	3	)	)	PUNCT
ejpam-5303	157	4	⇒	⇒	NOUN
ejpam-5303	157	5	(	(	PUNCT
ejpam-5303	157	6	1	1	X
ejpam-5303	157	7	)	)	PUNCT
ejpam-5303	157	8	suppose	suppose	VERB
ejpam-5303	157	9	that	that	SCONJ
ejpam-5303	157	10	t	t	NOUN
ejpam-5303	157	11	=	=	PUNCT
ejpam-5303	157	12	(	(	PUNCT
ejpam-5303	157	13	a	a	DET
ejpam-5303	157	14	b	b	NOUN
ejpam-5303	157	15	0	0	NUM
ejpam-5303	157	16	c	c	NOUN
ejpam-5303	157	17	)	)	PUNCT
ejpam-5303	157	18	on	on	ADP
ejpam-5303	157	19	h	h	PROPN
ejpam-5303	157	20	=	=	PROPN
ejpam-5303	157	21	t	t	PROPN
ejpam-5303	157	22	k(h	k(h	PROPN
ejpam-5303	157	23	)	)	PUNCT
ejpam-5303	157	24	⊕	⊕	PROPN
ejpam-5303	157	25	kert	kert	PROPN
ejpam-5303	157	26	∗k	∗k	PROPN
ejpam-5303	157	27	,	,	PUNCT
ejpam-5303	157	28	where	where	SCONJ
ejpam-5303	157	29	a	a	PRON
ejpam-5303	157	30	is	be	AUX
ejpam-5303	157	31	a	a	DET
ejpam-5303	157	32	m−paranormal	m−paranormal	ADJ
ejpam-5303	157	33	operator	operator	NOUN
ejpam-5303	157	34	on	on	ADP
ejpam-5303	157	35	t	t	PROPN
ejpam-5303	157	36	k(h	k(h	PROPN
ejpam-5303	157	37	)	)	PUNCT
ejpam-5303	157	38	,	,	PUNCT
ejpam-5303	157	39	and	and	CCONJ
ejpam-5303	157	40	ck	ck	NOUN
ejpam-5303	157	41	=	=	NOUN
ejpam-5303	157	42	0	0	PROPN
ejpam-5303	157	43	.	.	PUNCT
ejpam-5303	158	1	a	a	DET
ejpam-5303	158	2	simple	simple	ADJ
ejpam-5303	158	3	calculation	calculation	NOUN
ejpam-5303	158	4	shows	show	VERB
ejpam-5303	158	5	that	that	SCONJ
ejpam-5303	158	6	:	:	PUNCT
ejpam-5303	158	7	t	t	NOUN
ejpam-5303	158	8	∗	∗	NOUN
ejpam-5303	158	9	=	=	SYM
ejpam-5303	158	10	(	(	PUNCT
ejpam-5303	158	11	a∗	a∗	ADJ
ejpam-5303	158	12	0	0	NUM
ejpam-5303	158	13	b∗	b∗	ADJ
ejpam-5303	158	14	c∗	c∗	PROPN
ejpam-5303	158	15	)	)	PUNCT
ejpam-5303	158	16	,	,	PUNCT
ejpam-5303	158	17	t	t	X
ejpam-5303	158	18	∗t	∗t	PROPN
ejpam-5303	158	19	=	=	SYM
ejpam-5303	158	20	(	(	PUNCT
ejpam-5303	158	21	a∗a	a∗a	NUM
ejpam-5303	158	22	a∗b	a∗b	NUM
ejpam-5303	158	23	b∗a	b∗a	PROPN
ejpam-5303	158	24	b∗b	b∗b	NOUN
ejpam-5303	158	25	+	+	CCONJ
ejpam-5303	158	26	c∗c	c∗c	NUM
ejpam-5303	158	27	)	)	PUNCT
ejpam-5303	158	28	,	,	PUNCT
ejpam-5303	158	29	t	t	PROPN
ejpam-5303	158	30	∗2	∗2	PROPN
ejpam-5303	158	31	t	t	PROPN
ejpam-5303	158	32	2	2	NUM
ejpam-5303	158	33	=	=	SYM
ejpam-5303	158	34	(	(	PUNCT
ejpam-5303	158	35	a∗2a2	a∗2a2	PROPN
ejpam-5303	158	36	a∗2ab	a∗2ab	PROPN
ejpam-5303	159	1	+	+	ADJ
ejpam-5303	159	2	a∗2bc	a∗2bc	X
ejpam-5303	159	3	b∗a∗a2	b∗a∗a2	NOUN
ejpam-5303	159	4	+	+	CCONJ
ejpam-5303	159	5	c∗b∗a2	c∗b∗a2	X
ejpam-5303	159	6	|ab	|ab	ADP
ejpam-5303	159	7	+	+	ADP
ejpam-5303	159	8	bc|2	bc|2	PROPN
ejpam-5303	159	9	+	+	CCONJ
ejpam-5303	159	10	|c2|2	|c2|2	PROPN
ejpam-5303	159	11	)	)	PUNCT
ejpam-5303	159	12	,	,	PUNCT
ejpam-5303	159	13	t	t	PROPN
ejpam-5303	159	14	∗k	∗k	NOUN
ejpam-5303	159	15	=	=	SYM
ejpam-5303	159	16	(	(	PUNCT
ejpam-5303	159	17	a∗k	a∗k	PROPN
ejpam-5303	159	18	0	0	NUM
ejpam-5303	159	19	(	(	PUNCT
ejpam-5303	159	20	∑k−1	∑k−1	X
ejpam-5303	159	21	j=0	j=0	PROPN
ejpam-5303	159	22	a	a	DET
ejpam-5303	159	23	jbck−1−j)∗	jbck−1−j)∗	PROPN
ejpam-5303	159	24	0	0	NUM
ejpam-5303	159	25	)	)	PUNCT
ejpam-5303	159	26	,	,	PUNCT
ejpam-5303	160	1	t	t	PROPN
ejpam-5303	160	2	k	k	PROPN
ejpam-5303	161	1	=	=	PRON
ejpam-5303	161	2	(	(	PUNCT
ejpam-5303	161	3	ak	ak	PROPN
ejpam-5303	161	4	(	(	PUNCT
ejpam-5303	161	5	∑k−1	∑k−1	PROPN
ejpam-5303	161	6	j=0	j=0	PROPN
ejpam-5303	161	7	a	a	DET
ejpam-5303	161	8	jbck−1−j	jbck−1−j	PROPN
ejpam-5303	161	9	)	)	PUNCT
ejpam-5303	161	10	0	0	NUM
ejpam-5303	161	11	0	0	NUM
ejpam-5303	161	12	)	)	PUNCT
ejpam-5303	161	13	,	,	PUNCT
ejpam-5303	161	14	then	then	ADV
ejpam-5303	161	15	,	,	PUNCT
ejpam-5303	161	16	we	we	PRON
ejpam-5303	161	17	have	have	VERB
ejpam-5303	161	18	t	t	PROPN
ejpam-5303	161	19	∗k(m2	∗k(m2	X
ejpam-5303	161	20	t	t	PROPN
ejpam-5303	161	21	∗2	∗2	PROPN
ejpam-5303	161	22	t	t	PROPN
ejpam-5303	161	23	2	2	NUM
ejpam-5303	161	24	−	−	NOUN
ejpam-5303	161	25	2λt	2λt	ADJ
ejpam-5303	161	26	∗t	∗t	ADJ
ejpam-5303	161	27	+	+	CCONJ
ejpam-5303	161	28	λ2)t	λ2)t	PROPN
ejpam-5303	161	29	k	k	PROPN
ejpam-5303	161	30	v.	v.	PROPN
ejpam-5303	161	31	r.	r.	PROPN
ejpam-5303	161	32	hamiti	hamiti	PROPN
ejpam-5303	161	33	,	,	PUNCT
ejpam-5303	161	34	sh	sh	PROPN
ejpam-5303	161	35	.	.	PROPN
ejpam-5303	161	36	makolli	makolli	PROPN
ejpam-5303	161	37	/	/	SYM
ejpam-5303	161	38	eur	eur	PROPN
ejpam-5303	161	39	.	.	PUNCT
ejpam-5303	162	1	j.	j.	PROPN
ejpam-5303	162	2	pure	pure	PROPN
ejpam-5303	162	3	appl	appl	PROPN
ejpam-5303	162	4	.	.	PROPN
ejpam-5303	162	5	math	math	PROPN
ejpam-5303	162	6	,	,	PUNCT
ejpam-5303	162	7	17	17	NUM
ejpam-5303	162	8	(	(	PUNCT
ejpam-5303	162	9	3	3	NUM
ejpam-5303	162	10	)	)	PUNCT
ejpam-5303	162	11	(	(	PUNCT
ejpam-5303	162	12	2024	2024	NUM
ejpam-5303	162	13	)	)	PUNCT
ejpam-5303	162	14	,	,	PUNCT
ejpam-5303	162	15	2073	2073	NUM
ejpam-5303	162	16	-	-	SYM
ejpam-5303	162	17	2083	2083	NUM
ejpam-5303	162	18	2081	2081	NUM
ejpam-5303	162	19	=	=	SYM
ejpam-5303	162	20	(	(	PUNCT
ejpam-5303	162	21	a∗k	a∗k	PROPN
ejpam-5303	162	22	0	0	NUM
ejpam-5303	162	23	(	(	PUNCT
ejpam-5303	162	24	∑k−1	∑k−1	X
ejpam-5303	162	25	j=0	j=0	PROPN
ejpam-5303	162	26	a	a	DET
ejpam-5303	162	27	jbck−1−j)∗	jbck−1−j)∗	PROPN
ejpam-5303	162	28	0	0	NUM
ejpam-5303	162	29	)	)	PUNCT
ejpam-5303	162	30	×	×	NOUN
ejpam-5303	162	31	(	(	PUNCT
ejpam-5303	162	32	d	d	X
ejpam-5303	162	33	a∗2ab	a∗2ab	X
ejpam-5303	163	1	+	+	ADJ
ejpam-5303	163	2	a∗2bc	a∗2bc	X
ejpam-5303	163	3	b∗a∗a2	b∗a∗a2	NOUN
ejpam-5303	163	4	+	+	CCONJ
ejpam-5303	163	5	c∗b∗a2	c∗b∗a2	VERB
ejpam-5303	163	6	−	−	ADP
ejpam-5303	163	7	2λb∗a	2λb∗a	NOUN
ejpam-5303	163	8	|ab	|ab	PART
ejpam-5303	164	1	+	+	ADP
ejpam-5303	164	2	bc|2	bc|2	ADV
ejpam-5303	164	3	+	+	CCONJ
ejpam-5303	164	4	|c2|2	|c2|2	PUNCT
ejpam-5303	164	5	−	−	PROPN
ejpam-5303	164	6	2λ(b∗b	2λ(b∗b	NUM
ejpam-5303	164	7	+	+	NUM
ejpam-5303	164	8	c∗c	c∗c	NUM
ejpam-5303	164	9	)	)	PUNCT
ejpam-5303	164	10	+	+	NUM
ejpam-5303	164	11	λ2	λ2	NOUN
ejpam-5303	164	12	)	)	PUNCT
ejpam-5303	164	13	×	×	NOUN
ejpam-5303	164	14	(	(	PUNCT
ejpam-5303	164	15	ak	ak	PROPN
ejpam-5303	164	16	∑k−1	∑k−1	PROPN
ejpam-5303	164	17	j=0	j=0	PROPN
ejpam-5303	164	18	a	a	DET
ejpam-5303	164	19	jbck−1−j	jbck−1−j	PROPN
ejpam-5303	164	20	0	0	NUM
ejpam-5303	164	21	0	0	NUM
ejpam-5303	164	22	)	)	PUNCT
ejpam-5303	165	1	=	=	PRON
ejpam-5303	165	2	(	(	PUNCT
ejpam-5303	165	3	a∗kdak	a∗kdak	ADV
ejpam-5303	165	4	a∗kd	a∗kd	PROPN
ejpam-5303	165	5	∑k−1	∑k−1	PROPN
ejpam-5303	165	6	j=0	j=0	PROPN
ejpam-5303	165	7	a	a	DET
ejpam-5303	165	8	jbck−1−j	jbck−1−j	PROPN
ejpam-5303	165	9	(	(	PUNCT
ejpam-5303	165	10	∑k−1	∑k−1	X
ejpam-5303	165	11	j=0	j=0	PROPN
ejpam-5303	165	12	a	a	DET
ejpam-5303	165	13	jbck−1−j)∗dak	jbck−1−j)∗dak	PROPN
ejpam-5303	165	14	(	(	PUNCT
ejpam-5303	165	15	∑k−1	∑k−1	X
ejpam-5303	165	16	j=0	j=0	PROPN
ejpam-5303	165	17	a	a	DET
ejpam-5303	165	18	jbck−1−j)∗d	jbck−1−j)∗d	PROPN
ejpam-5303	165	19	∑k−1	∑k−1	X
ejpam-5303	165	20	j=0	j=0	PROPN
ejpam-5303	165	21	a	a	DET
ejpam-5303	165	22	jbck−1−j	jbck−1−j	PROPN
ejpam-5303	165	23	)	)	PUNCT
ejpam-5303	165	24	,	,	PUNCT
ejpam-5303	165	25	where	where	SCONJ
ejpam-5303	165	26	d	d	NOUN
ejpam-5303	165	27	=	=	PUNCT
ejpam-5303	165	28	m2a∗2a2−2λa∗a+λ2	m2a∗2a2−2λa∗a+λ2	PROPN
ejpam-5303	165	29	.	.	PUNCT
ejpam-5303	165	30	let	let	VERB
ejpam-5303	165	31	v	v	VERB
ejpam-5303	165	32	=	=	PUNCT
ejpam-5303	165	33	x⊕y	x⊕y	PROPN
ejpam-5303	165	34	be	be	AUX
ejpam-5303	165	35	a	a	DET
ejpam-5303	165	36	vector	vector	NOUN
ejpam-5303	165	37	in	in	ADP
ejpam-5303	165	38	h	h	NOUN
ejpam-5303	165	39	=	=	SYM
ejpam-5303	165	40	t	t	PROPN
ejpam-5303	165	41	k(h)⊕kert	k(h)⊕kert	NOUN
ejpam-5303	165	42	∗k	∗k	NOUN
ejpam-5303	165	43	,	,	PUNCT
ejpam-5303	165	44	where	where	SCONJ
ejpam-5303	165	45	x	x	PUNCT
ejpam-5303	165	46	∈	∈	PROPN
ejpam-5303	165	47	t	t	PROPN
ejpam-5303	165	48	k(h	k(h	PROPN
ejpam-5303	165	49	)	)	PUNCT
ejpam-5303	165	50	and	and	CCONJ
ejpam-5303	165	51	y	y	PROPN
ejpam-5303	165	52	∈	∈	PROPN
ejpam-5303	165	53	kert	kert	PROPN
ejpam-5303	165	54	∗k	∗k	PROPN
ejpam-5303	165	55	.	.	PUNCT
ejpam-5303	166	1	then	then	ADV
ejpam-5303	166	2	,	,	PUNCT
ejpam-5303	166	3	〈	〈	PROPN
ejpam-5303	166	4	t	t	PROPN
ejpam-5303	166	5	∗k(m2	∗k(m2	NOUN
ejpam-5303	166	6	t	t	PROPN
ejpam-5303	166	7	∗2	∗2	PROPN
ejpam-5303	166	8	t	t	PROPN
ejpam-5303	166	9	2	2	NUM
ejpam-5303	166	10	−	−	NOUN
ejpam-5303	166	11	2λt	2λt	ADJ
ejpam-5303	166	12	∗t	∗t	ADJ
ejpam-5303	166	13	+	+	CCONJ
ejpam-5303	166	14	λ2)t	λ2)t	PROPN
ejpam-5303	166	15	kv	kv	PROPN
ejpam-5303	166	16	,	,	PUNCT
ejpam-5303	166	17	v	v	ADP
ejpam-5303	166	18	〉	〉	NOUN
ejpam-5303	166	19	=	=	SYM
ejpam-5303	166	20	〈	〈	NOUN
ejpam-5303	166	21	a∗kdakx	a∗kdakx	NOUN
ejpam-5303	166	22	,	,	PUNCT
ejpam-5303	166	23	x	x	SYM
ejpam-5303	166	24	〉	〉	NOUN
ejpam-5303	166	25	+	+	NUM
ejpam-5303	166	26	〈	〈	PROPN
ejpam-5303	166	27	a∗kd	a∗kd	PROPN
ejpam-5303	166	28	k−1∑	k−1∑	PROPN
ejpam-5303	166	29	j=0	j=0	PROPN
ejpam-5303	166	30	ajbck−1−jy	ajbck−1−jy	PROPN
ejpam-5303	166	31	,	,	PUNCT
ejpam-5303	166	32	x	x	SYM
ejpam-5303	166	33	〉	〉	NOUN
ejpam-5303	166	34	+	+	CCONJ
ejpam-5303	166	35	〈	〈	PROPN
ejpam-5303	166	36	(	(	PUNCT
ejpam-5303	166	37	k−1∑	k−1∑	PROPN
ejpam-5303	166	38	j=0	j=0	PROPN
ejpam-5303	166	39	ajbck−1−j)∗dakx	ajbck−1−j)∗dakx	PROPN
ejpam-5303	166	40	,	,	PUNCT
ejpam-5303	166	41	y	y	PROPN
ejpam-5303	166	42	〉	〉	NOUN
ejpam-5303	166	43	+	+	CCONJ
ejpam-5303	166	44	〈	〈	PROPN
ejpam-5303	166	45	(	(	PUNCT
ejpam-5303	166	46	k−1∑	k−1∑	PROPN
ejpam-5303	166	47	j=0	j=0	PROPN
ejpam-5303	166	48	ajbck−1−j)∗d	ajbck−1−j)∗d	PROPN
ejpam-5303	166	49	k−1∑	k−1∑	PROPN
ejpam-5303	166	50	j=0	j=0	PROPN
ejpam-5303	166	51	ajbck−1−jy	ajbck−1−jy	PROPN
ejpam-5303	166	52	,	,	PUNCT
ejpam-5303	166	53	y	y	PROPN
ejpam-5303	166	54	〉	〉	NOUN
ejpam-5303	166	55	=	=	SYM
ejpam-5303	166	56	〈	〈	NOUN
ejpam-5303	166	57	d(akx+	d(akx+	NOUN
ejpam-5303	166	58	k−1∑	k−1∑	PROPN
ejpam-5303	166	59	j=0	j=0	X
ejpam-5303	166	60	ajbck−1−jy	ajbck−1−jy	PROPN
ejpam-5303	166	61	)	)	PUNCT
ejpam-5303	166	62	,	,	PUNCT
ejpam-5303	166	63	akx+	akx+	NOUN
ejpam-5303	166	64	k−1∑	k−1∑	PROPN
ejpam-5303	166	65	j=0	j=0	PROPN
ejpam-5303	166	66	ajbck−1−jy	ajbck−1−jy	PROPN
ejpam-5303	166	67	〉	〉	NOUN
ejpam-5303	166	68	.	.	PUNCT
ejpam-5303	167	1	since	since	SCONJ
ejpam-5303	167	2	a	a	PRON
ejpam-5303	167	3	is	be	AUX
ejpam-5303	167	4	a	a	DET
ejpam-5303	167	5	m−paranormal	m−paranormal	ADJ
ejpam-5303	167	6	operator	operator	NOUN
ejpam-5303	167	7	we	we	PRON
ejpam-5303	167	8	have	have	VERB
ejpam-5303	167	9	that	that	DET
ejpam-5303	167	10	d	d	NOUN
ejpam-5303	167	11	=	=	SYM
ejpam-5303	167	12	m2a∗2a2	m2a∗2a2	PROPN
ejpam-5303	168	1	−	−	PROPN
ejpam-5303	169	1	2a∗a	2a∗a	NUM
ejpam-5303	170	1	+	+	CCONJ
ejpam-5303	170	2	i	i	PRON
ejpam-5303	170	3	≥	≥	VERB
ejpam-5303	170	4	0	0	NUM
ejpam-5303	170	5	.	.	PUNCT
ejpam-5303	171	1	therefore	therefore	ADV
ejpam-5303	171	2	,	,	PUNCT
ejpam-5303	171	3	〈	〈	PROPN
ejpam-5303	171	4	t	t	PROPN
ejpam-5303	171	5	∗k(m2	∗k(m2	NOUN
ejpam-5303	171	6	t	t	PROPN
ejpam-5303	171	7	∗2	∗2	PROPN
ejpam-5303	171	8	t	t	PROPN
ejpam-5303	171	9	2	2	NUM
ejpam-5303	171	10	−	−	PROPN
ejpam-5303	171	11	2	2	NUM
ejpam-5303	171	12	t	t	NOUN
ejpam-5303	171	13	∗t	∗t	ADJ
ejpam-5303	171	14	+	+	CCONJ
ejpam-5303	171	15	i)t	i)t	VERB
ejpam-5303	171	16	kv	kv	PROPN
ejpam-5303	171	17	,	,	PUNCT
ejpam-5303	171	18	v	v	ADP
ejpam-5303	171	19	〉	〉	NOUN
ejpam-5303	171	20	≥	≥	NOUN
ejpam-5303	171	21	0	0	NUM
ejpam-5303	171	22	for	for	ADP
ejpam-5303	171	23	all	all	DET
ejpam-5303	171	24	v	v	NOUN
ejpam-5303	171	25	∈	∈	PROPN
ejpam-5303	171	26	h.	h.	NOUN
ejpam-5303	171	27	hence	hence	ADV
ejpam-5303	171	28	,	,	PUNCT
ejpam-5303	171	29	t	t	PROPN
ejpam-5303	171	30	∗k(m2	∗k(m2	PROPN
ejpam-5303	171	31	t	t	PROPN
ejpam-5303	171	32	∗2	∗2	PROPN
ejpam-5303	171	33	t	t	PROPN
ejpam-5303	171	34	2	2	NUM
ejpam-5303	171	35	−	−	PROPN
ejpam-5303	171	36	2	2	NUM
ejpam-5303	171	37	t	t	NOUN
ejpam-5303	171	38	∗t	∗t	NOUN
ejpam-5303	171	39	+	+	CCONJ
ejpam-5303	171	40	i)t	i)t	VERB
ejpam-5303	172	1	k	k	X
ejpam-5303	172	2	≥	≥	NOUN
ejpam-5303	172	3	0	0	NUM
ejpam-5303	173	1	so	so	CCONJ
ejpam-5303	173	2	we	we	PRON
ejpam-5303	173	3	have	have	VERB
ejpam-5303	173	4	that	that	DET
ejpam-5303	173	5	t	t	PROPN
ejpam-5303	173	6	is	be	AUX
ejpam-5303	173	7	a	a	DET
ejpam-5303	173	8	(	(	PUNCT
ejpam-5303	173	9	m	m	PROPN
ejpam-5303	173	10	,	,	PUNCT
ejpam-5303	173	11	k)−quasi	k)−quasi	ADJ
ejpam-5303	173	12	paranormal	paranormal	ADJ
ejpam-5303	173	13	operator	operator	NOUN
ejpam-5303	173	14	.	.	PUNCT
ejpam-5303	174	1	4	4	X
ejpam-5303	174	2	.	.	X
ejpam-5303	174	3	conclusion	conclusion	NOUN
ejpam-5303	174	4	in	in	ADP
ejpam-5303	174	5	this	this	DET
ejpam-5303	174	6	paper	paper	NOUN
ejpam-5303	174	7	we	we	PRON
ejpam-5303	174	8	have	have	AUX
ejpam-5303	174	9	introduced	introduce	VERB
ejpam-5303	174	10	a	a	DET
ejpam-5303	174	11	new	new	ADJ
ejpam-5303	174	12	class	class	NOUN
ejpam-5303	174	13	of	of	ADP
ejpam-5303	174	14	operators	operator	NOUN
ejpam-5303	174	15	in	in	ADP
ejpam-5303	174	16	hilbert	hilbert	PROPN
ejpam-5303	174	17	spaces	space	NOUN
ejpam-5303	174	18	,	,	PUNCT
ejpam-5303	174	19	which	which	PRON
ejpam-5303	174	20	we	we	PRON
ejpam-5303	174	21	named	name	VERB
ejpam-5303	174	22	the	the	DET
ejpam-5303	174	23	(	(	PUNCT
ejpam-5303	174	24	m	m	PROPN
ejpam-5303	174	25	,	,	PUNCT
ejpam-5303	174	26	k)−quasi	k)−quasi	PROPN
ejpam-5303	174	27	paranormal	paranormal	ADJ
ejpam-5303	174	28	operators	operator	NOUN
ejpam-5303	174	29	.	.	PUNCT
ejpam-5303	175	1	first	first	ADV
ejpam-5303	175	2	we	we	PRON
ejpam-5303	175	3	have	have	AUX
ejpam-5303	175	4	proved	prove	VERB
ejpam-5303	175	5	some	some	DET
ejpam-5303	175	6	basic	basic	ADJ
ejpam-5303	175	7	properties	property	NOUN
ejpam-5303	175	8	references	reference	NOUN
ejpam-5303	175	9	2082	2082	NUM
ejpam-5303	175	10	and	and	CCONJ
ejpam-5303	175	11	also	also	ADV
ejpam-5303	175	12	the	the	DET
ejpam-5303	175	13	structural	structural	ADJ
ejpam-5303	175	14	and	and	CCONJ
ejpam-5303	175	15	spectral	spectral	ADJ
ejpam-5303	175	16	properties	property	NOUN
ejpam-5303	175	17	of	of	ADP
ejpam-5303	175	18	this	this	DET
ejpam-5303	175	19	class	class	NOUN
ejpam-5303	175	20	of	of	ADP
ejpam-5303	175	21	operators	operator	NOUN
ejpam-5303	175	22	.	.	PUNCT
ejpam-5303	176	1	we	we	PRON
ejpam-5303	176	2	also	also	ADV
ejpam-5303	176	3	have	have	AUX
ejpam-5303	176	4	given	give	VERB
ejpam-5303	176	5	the	the	DET
ejpam-5303	176	6	relations	relation	NOUN
ejpam-5303	176	7	of	of	ADP
ejpam-5303	176	8	with	with	ADP
ejpam-5303	176	9	new	new	ADJ
ejpam-5303	176	10	class	class	NOUN
ejpam-5303	176	11	of	of	ADP
ejpam-5303	176	12	operators	operator	NOUN
ejpam-5303	176	13	with	with	ADP
ejpam-5303	176	14	other	other	ADJ
ejpam-5303	176	15	non	non	PRON
ejpam-5303	176	16	normal	normal	ADJ
ejpam-5303	176	17	classes	class	NOUN
ejpam-5303	176	18	of	of	ADP
ejpam-5303	176	19	operators	operator	NOUN
ejpam-5303	176	20	in	in	ADP
ejpam-5303	176	21	hilbert	hilbert	PROPN
ejpam-5303	176	22	spaces	space	NOUN
ejpam-5303	176	23	.	.	PUNCT
ejpam-5303	177	1	we	we	PRON
ejpam-5303	177	2	also	also	ADV
ejpam-5303	177	3	have	have	AUX
ejpam-5303	177	4	given	give	VERB
ejpam-5303	177	5	an	an	DET
ejpam-5303	177	6	example	example	NOUN
ejpam-5303	177	7	that	that	PRON
ejpam-5303	177	8	support	support	VERB
ejpam-5303	177	9	the	the	DET
ejpam-5303	177	10	theoretical	theoretical	ADJ
ejpam-5303	177	11	approach	approach	NOUN
ejpam-5303	177	12	.	.	PUNCT
ejpam-5303	178	1	our	our	PRON
ejpam-5303	178	2	future	future	ADJ
ejpam-5303	178	3	work	work	NOUN
ejpam-5303	178	4	will	will	AUX
ejpam-5303	178	5	be	be	AUX
ejpam-5303	178	6	focused	focus	VERB
ejpam-5303	178	7	on	on	ADP
ejpam-5303	178	8	studying	study	VERB
ejpam-5303	178	9	the	the	DET
ejpam-5303	178	10	conditions	condition	NOUN
ejpam-5303	178	11	under	under	ADP
ejpam-5303	178	12	which	which	PRON
ejpam-5303	178	13	composition	composition	NOUN
ejpam-5303	178	14	operators	operator	NOUN
ejpam-5303	178	15	and	and	CCONJ
ejpam-5303	178	16	weighted	weight	VERB
ejpam-5303	178	17	composition	composition	NOUN
ejpam-5303	178	18	operators	operator	NOUN
ejpam-5303	178	19	on	on	ADP
ejpam-5303	178	20	l2(µ	l2(µ	NOUN
ejpam-5303	178	21	)	)	PUNCT
ejpam-5303	178	22	spaces	space	NOUN
ejpam-5303	178	23	become	become	VERB
ejpam-5303	178	24	m−quasi	m−quasi	NOUN
ejpam-5303	178	25	paranormal	paranormal	NOUN
ejpam-5303	178	26	and	and	CCONJ
ejpam-5303	178	27	(	(	PUNCT
ejpam-5303	178	28	m	m	PROPN
ejpam-5303	178	29	,	,	PUNCT
ejpam-5303	179	1	k)−quasi	k)−quasi	PROPN
ejpam-5303	179	2	paranormal	paranormal	ADJ
ejpam-5303	179	3	operators	operator	NOUN
ejpam-5303	179	4	,	,	PUNCT
ejpam-5303	179	5	in	in	ADP
ejpam-5303	179	6	terms	term	NOUN
ejpam-5303	179	7	of	of	ADP
ejpam-5303	179	8	radon	radon	PROPN
ejpam-5303	179	9	–	–	PUNCT
ejpam-5303	179	10	nikodym	nikodym	NOUN
ejpam-5303	179	11	derivative	derivative	PROPN
ejpam-5303	180	1	hm	hm	INTJ
ejpam-5303	180	2	.	.	PUNCT
ejpam-5303	180	3	references	reference	NOUN
ejpam-5303	181	1	[	[	X
ejpam-5303	181	2	1	1	X
ejpam-5303	181	3	]	]	PUNCT
ejpam-5303	181	4	s.	s.	PROPN
ejpam-5303	181	5	c.	c.	PROPN
ejpam-5303	181	6	arora	arora	PROPN
ejpam-5303	181	7	and	and	CCONJ
ejpam-5303	181	8	r.	r.	PROPN
ejpam-5303	181	9	kumar	kumar	PROPN
ejpam-5303	181	10	.	.	PUNCT
ejpam-5303	182	1	m−	m−	PROPN
ejpam-5303	182	2	paranormal	paranormal	PROPN
ejpam-5303	182	3	operators	operator	NOUN
ejpam-5303	182	4	.	.	PUNCT
ejpam-5303	183	1	publications	publication	NOUN
ejpam-5303	183	2	de	de	X
ejpam-5303	183	3	l’institut	l’institut	PROPN
ejpam-5303	183	4	mathematique	mathematique	NOUN
ejpam-5303	183	5	,	,	PUNCT
ejpam-5303	183	6	29(43):5–13	29(43):5–13	NUM
ejpam-5303	183	7	,	,	PUNCT
ejpam-5303	183	8	1981	1981	NUM
ejpam-5303	183	9	.	.	PUNCT
ejpam-5303	184	1	[	[	X
ejpam-5303	184	2	2	2	NUM
ejpam-5303	184	3	]	]	X
ejpam-5303	184	4	n.	n.	PROPN
ejpam-5303	184	5	l.	l.	PROPN
ejpam-5303	184	6	braha	braha	PROPN
ejpam-5303	184	7	,	,	PUNCT
ejpam-5303	184	8	m.	m.	PROPN
ejpam-5303	184	9	lohaj	lohaj	PROPN
ejpam-5303	184	10	,	,	PUNCT
ejpam-5303	184	11	f.	f.	PROPN
ejpam-5303	184	12	h.	h.	PROPN
ejpam-5303	184	13	marevci	marevci	PROPN
ejpam-5303	184	14	,	,	PUNCT
ejpam-5303	184	15	and	and	CCONJ
ejpam-5303	184	16	sh	sh	PROPN
ejpam-5303	184	17	.	.	PROPN
ejpam-5303	184	18	lohaj	lohaj	PROPN
ejpam-5303	184	19	.	.	PUNCT
ejpam-5303	185	1	some	some	DET
ejpam-5303	185	2	properties	property	NOUN
ejpam-5303	185	3	of	of	ADP
ejpam-5303	185	4	paranormal	paranormal	ADJ
ejpam-5303	185	5	and	and	CCONJ
ejpam-5303	185	6	hyponormal	hyponormal	ADJ
ejpam-5303	185	7	operators	operator	NOUN
ejpam-5303	185	8	.	.	PUNCT
ejpam-5303	186	1	bulletin	bulletin	NOUN
ejpam-5303	186	2	of	of	ADP
ejpam-5303	186	3	mathematical	mathematical	ADJ
ejpam-5303	186	4	analysis	analysis	NOUN
ejpam-5303	186	5	and	and	CCONJ
ejpam-5303	186	6	applications	application	NOUN
ejpam-5303	186	7	,	,	PUNCT
ejpam-5303	186	8	1(2):23–35	1(2):23–35	NUM
ejpam-5303	186	9	,	,	PUNCT
ejpam-5303	186	10	2009	2009	NUM
ejpam-5303	186	11	.	.	PUNCT
ejpam-5303	187	1	[	[	X
ejpam-5303	187	2	3	3	X
ejpam-5303	187	3	]	]	PUNCT
ejpam-5303	187	4	p.	p.	NOUN
ejpam-5303	187	5	dharmarha	dharmarha	PROPN
ejpam-5303	187	6	and	and	CCONJ
ejpam-5303	187	7	s.	s.	PROPN
ejpam-5303	187	8	ram	ram	PROPN
ejpam-5303	187	9	.	.	PUNCT
ejpam-5303	188	1	(	(	PUNCT
ejpam-5303	188	2	m	m	PROPN
ejpam-5303	188	3	,	,	PUNCT
ejpam-5303	188	4	n)−paranormal	n)−paranormal	PROPN
ejpam-5303	188	5	operators	operator	NOUN
ejpam-5303	188	6	and	and	CCONJ
ejpam-5303	188	7	(	(	PUNCT
ejpam-5303	188	8	m	m	PROPN
ejpam-5303	188	9	,	,	PUNCT
ejpam-5303	188	10	n)∗−paranormal	n)∗−paranormal	ADJ
ejpam-5303	188	11	operators	operator	NOUN
ejpam-5303	188	12	.	.	PUNCT
ejpam-5303	189	1	commun	commun	PROPN
ejpam-5303	189	2	.	.	PUNCT
ejpam-5303	190	1	korean	korean	ADJ
ejpam-5303	190	2	math	math	PROPN
ejpam-5303	190	3	.	.	PUNCT
ejpam-5303	191	1	soc	soc	PROPN
ejpam-5303	191	2	.	.	PUNCT
ejpam-5303	191	3	,	,	PUNCT
ejpam-5303	191	4	35:151–159	35:151–159	NUM
ejpam-5303	191	5	,	,	PUNCT
ejpam-5303	191	6	2020	2020	NUM
ejpam-5303	191	7	.	.	PUNCT
ejpam-5303	192	1	[	[	X
ejpam-5303	192	2	4	4	X
ejpam-5303	192	3	]	]	PUNCT
ejpam-5303	192	4	s.	s.	PROPN
ejpam-5303	192	5	s.	s.	PROPN
ejpam-5303	192	6	dragomir	dragomir	PROPN
ejpam-5303	192	7	.	.	PROPN
ejpam-5303	193	1	inequalities	inequality	NOUN
ejpam-5303	193	2	for	for	ADP
ejpam-5303	193	3	the	the	DET
ejpam-5303	193	4	norm	norm	NOUN
ejpam-5303	193	5	and	and	CCONJ
ejpam-5303	193	6	the	the	DET
ejpam-5303	193	7	numerical	numerical	ADJ
ejpam-5303	193	8	radius	radius	PROPN
ejpam-5303	193	9	of	of	ADP
ejpam-5303	193	10	linear	linear	PROPN
ejpam-5303	193	11	operators	operator	NOUN
ejpam-5303	193	12	in	in	ADP
ejpam-5303	193	13	hilbert	hilbert	PROPN
ejpam-5303	193	14	spaces	space	NOUN
ejpam-5303	193	15	.	.	PUNCT
ejpam-5303	194	1	demonstratio	demonstratio	PROPN
ejpam-5303	194	2	mathematica	mathematica	PROPN
ejpam-5303	194	3	,	,	PUNCT
ejpam-5303	194	4	xl(2):411–417	xl(2):411–417	PROPN
ejpam-5303	194	5	,	,	PUNCT
ejpam-5303	194	6	2007	2007	NUM
ejpam-5303	194	7	.	.	PUNCT
ejpam-5303	195	1	[	[	X
ejpam-5303	195	2	5	5	X
ejpam-5303	195	3	]	]	PUNCT
ejpam-5303	195	4	t.	t.	PROPN
ejpam-5303	195	5	furuta	furuta	PROPN
ejpam-5303	195	6	.	.	PUNCT
ejpam-5303	196	1	on	on	ADP
ejpam-5303	196	2	the	the	DET
ejpam-5303	196	3	class	class	NOUN
ejpam-5303	196	4	of	of	ADP
ejpam-5303	196	5	paranormal	paranormal	ADJ
ejpam-5303	196	6	operators	operator	NOUN
ejpam-5303	196	7	.	.	PUNCT
ejpam-5303	197	1	proc	proc	NOUN
ejpam-5303	197	2	.	.	PUNCT
ejpam-5303	198	1	jap	jap	PROPN
ejpam-5303	198	2	.	.	PUNCT
ejpam-5303	198	3	acad	acad	PROPN
ejpam-5303	198	4	.	.	PROPN
ejpam-5303	198	5	,	,	PUNCT
ejpam-5303	198	6	43:594–598	43:594–598	PROPN
ejpam-5303	198	7	,	,	PUNCT
ejpam-5303	198	8	1967	1967	NUM
ejpam-5303	198	9	.	.	PUNCT
ejpam-5303	199	1	[	[	X
ejpam-5303	199	2	6	6	NUM
ejpam-5303	199	3	]	]	PUNCT
ejpam-5303	199	4	t.	t.	PROPN
ejpam-5303	199	5	furuta	furuta	PROPN
ejpam-5303	199	6	.	.	PUNCT
ejpam-5303	200	1	invitation	invitation	NOUN
ejpam-5303	200	2	to	to	AUX
ejpam-5303	200	3	linear	linear	VERB
ejpam-5303	200	4	operators	operator	NOUN
ejpam-5303	200	5	.	.	PUNCT
ejpam-5303	201	1	taylor	taylor	PROPN
ejpam-5303	201	2	&	&	CCONJ
ejpam-5303	201	3	francis	francis	PROPN
ejpam-5303	201	4	,	,	PUNCT
ejpam-5303	201	5	london	london	PROPN
ejpam-5303	201	6	,	,	PUNCT
ejpam-5303	201	7	uk	uk	PROPN
ejpam-5303	201	8	,	,	PUNCT
ejpam-5303	201	9	2001	2001	NUM
ejpam-5303	201	10	.	.	PUNCT
ejpam-5303	202	1	[	[	X
ejpam-5303	202	2	7	7	X
ejpam-5303	202	3	]	]	X
ejpam-5303	202	4	f.	f.	PROPN
ejpam-5303	202	5	gao	gao	PROPN
ejpam-5303	202	6	and	and	CCONJ
ejpam-5303	202	7	x.	x.	PROPN
ejpam-5303	202	8	li	li	PROPN
ejpam-5303	202	9	.	.	PROPN
ejpam-5303	202	10	contractions	contraction	NOUN
ejpam-5303	202	11	and	and	CCONJ
ejpam-5303	202	12	the	the	DET
ejpam-5303	202	13	spectral	spectral	ADJ
ejpam-5303	202	14	continuity	continuity	NOUN
ejpam-5303	202	15	for	for	ADP
ejpam-5303	202	16	k−quasi−paranormal	k−quasi−paranormal	PROPN
ejpam-5303	202	17	operators	operator	NOUN
ejpam-5303	202	18	.	.	PUNCT
ejpam-5303	203	1	journal	journal	PROPN
ejpam-5303	203	2	of	of	ADP
ejpam-5303	203	3	mathematical	mathematical	ADJ
ejpam-5303	203	4	inequalities	inequality	NOUN
ejpam-5303	203	5	,	,	PUNCT
ejpam-5303	203	6	9(1):137–144	9(1):137–144	NUM
ejpam-5303	203	7	,	,	PUNCT
ejpam-5303	203	8	2015	2015	NUM
ejpam-5303	203	9	.	.	PUNCT
ejpam-5303	204	1	[	[	X
ejpam-5303	204	2	8	8	NUM
ejpam-5303	204	3	]	]	PUNCT
ejpam-5303	204	4	p.	p.	PROPN
ejpam-5303	204	5	r.	r.	PROPN
ejpam-5303	204	6	halmos	halmos	PROPN
ejpam-5303	204	7	.	.	PUNCT
ejpam-5303	205	1	a	a	DET
ejpam-5303	205	2	hilbert	hilbert	PROPN
ejpam-5303	205	3	space	space	NOUN
ejpam-5303	205	4	problem	problem	NOUN
ejpam-5303	205	5	book	book	NOUN
ejpam-5303	205	6	.	.	PUNCT
ejpam-5303	206	1	springer	springer	NOUN
ejpam-5303	206	2	science	science	PROPN
ejpam-5303	206	3	and	and	CCONJ
ejpam-5303	206	4	business	business	NOUN
ejpam-5303	206	5	media	medium	NOUN
ejpam-5303	206	6	,	,	PUNCT
ejpam-5303	206	7	2012	2012	NUM
ejpam-5303	206	8	.	.	PUNCT
ejpam-5303	207	1	[	[	X
ejpam-5303	207	2	9	9	NUM
ejpam-5303	207	3	]	]	PUNCT
ejpam-5303	207	4	v.	v.	PROPN
ejpam-5303	207	5	r.	r.	PROPN
ejpam-5303	207	6	hamiti	hamiti	PROPN
ejpam-5303	207	7	and	and	CCONJ
ejpam-5303	207	8	q.	q.	PROPN
ejpam-5303	207	9	d.	d.	PROPN
ejpam-5303	207	10	gjonbalaj	gjonbalaj	PROPN
ejpam-5303	207	11	.	.	PUNCT
ejpam-5303	208	1	on	on	ADP
ejpam-5303	208	2	m−quasi	m−quasi	NOUN
ejpam-5303	208	3	paranormal	paranormal	ADJ
ejpam-5303	208	4	operators	operator	NOUN
ejpam-5303	208	5	.	.	PUNCT
ejpam-5303	209	1	european	european	ADJ
ejpam-5303	209	2	journal	journal	PROPN
ejpam-5303	209	3	of	of	ADP
ejpam-5303	209	4	pure	pure	ADJ
ejpam-5303	209	5	and	and	CCONJ
ejpam-5303	209	6	applied	applied	ADJ
ejpam-5303	209	7	mathematics	mathematic	NOUN
ejpam-5303	209	8	,	,	PUNCT
ejpam-5303	209	9	15(3):830–840	15(3):830–840	NUM
ejpam-5303	209	10	,	,	PUNCT
ejpam-5303	209	11	2022	2022	NUM
ejpam-5303	209	12	.	.	PUNCT
ejpam-5303	210	1	[	[	X
ejpam-5303	210	2	10	10	NUM
ejpam-5303	210	3	]	]	X
ejpam-5303	210	4	y.	y.	PROPN
ejpam-5303	210	5	m.	m.	PROPN
ejpam-5303	210	6	han	han	PROPN
ejpam-5303	210	7	and	and	CCONJ
ejpam-5303	210	8	w.	w.	PROPN
ejpam-5303	210	9	h.	h.	PROPN
ejpam-5303	210	10	na	na	PROPN
ejpam-5303	210	11	.	.	PUNCT
ejpam-5303	211	1	a	a	DET
ejpam-5303	211	2	note	note	NOUN
ejpam-5303	211	3	on	on	ADP
ejpam-5303	211	4	quasi	quasi	ADJ
ejpam-5303	211	5	-	-	ADJ
ejpam-5303	211	6	paranormal	paranormal	ADJ
ejpam-5303	211	7	operators	operator	NOUN
ejpam-5303	211	8	.	.	PUNCT
ejpam-5303	212	1	mediterr	mediterr	PROPN
ejpam-5303	212	2	.	.	PUNCT
ejpam-5303	213	1	j.	j.	PROPN
ejpam-5303	213	2	math	math	PROPN
ejpam-5303	213	3	.	.	PROPN
ejpam-5303	213	4	,	,	PUNCT
ejpam-5303	213	5	10:383–393	10:383–393	NUM
ejpam-5303	213	6	,	,	PUNCT
ejpam-5303	213	7	2013	2013	NUM
ejpam-5303	213	8	.	.	PUNCT
ejpam-5303	214	1	[	[	X
ejpam-5303	214	2	11	11	NUM
ejpam-5303	214	3	]	]	PUNCT
ejpam-5303	214	4	c.	c.	PROPN
ejpam-5303	214	5	s.	s.	PROPN
ejpam-5303	214	6	kubrusly	kubrusly	PROPN
ejpam-5303	214	7	.	.	PUNCT
ejpam-5303	215	1	a	a	DET
ejpam-5303	215	2	concise	concise	ADJ
ejpam-5303	215	3	introduction	introduction	NOUN
ejpam-5303	215	4	to	to	ADP
ejpam-5303	215	5	tensor	tensor	NOUN
ejpam-5303	215	6	product	product	NOUN
ejpam-5303	215	7	.	.	PUNCT
ejpam-5303	216	1	far	far	PROPN
ejpam-5303	216	2	east	east	PROPN
ejpam-5303	216	3	journal	journal	PROPN
ejpam-5303	216	4	of	of	ADP
ejpam-5303	216	5	mathematical	mathematical	ADJ
ejpam-5303	216	6	science	science	NOUN
ejpam-5303	216	7	,	,	PUNCT
ejpam-5303	216	8	22:137–174	22:137–174	NUM
ejpam-5303	216	9	,	,	PUNCT
ejpam-5303	216	10	2006	2006	NUM
ejpam-5303	216	11	.	.	PUNCT
ejpam-5303	217	1	[	[	X
ejpam-5303	217	2	12	12	NUM
ejpam-5303	217	3	]	]	PUNCT
ejpam-5303	217	4	m.	m.	NOUN
ejpam-5303	217	5	m.	m.	NOUN
ejpam-5303	217	6	kutkut	kutkut	PROPN
ejpam-5303	217	7	and	and	CCONJ
ejpam-5303	217	8	b.	b.	PROPN
ejpam-5303	217	9	kashkari	kashkari	PROPN
ejpam-5303	217	10	.	.	PUNCT
ejpam-5303	218	1	on	on	ADP
ejpam-5303	218	2	the	the	DET
ejpam-5303	218	3	class	class	NOUN
ejpam-5303	218	4	of	of	ADP
ejpam-5303	218	5	class	class	NOUN
ejpam-5303	218	6	m	m	NOUN
ejpam-5303	218	7	-	-	NOUN
ejpam-5303	218	8	paranormal	paranormal	ADJ
ejpam-5303	218	9	(	(	PUNCT
ejpam-5303	218	10	m∗-paranormal	m∗-paranormal	ADJ
ejpam-5303	218	11	)	)	PUNCT
ejpam-5303	218	12	operators	operator	NOUN
ejpam-5303	218	13	.	.	PUNCT
ejpam-5303	219	1	m.	m.	PROPN
ejpam-5303	219	2	sci	sci	PROPN
ejpam-5303	219	3	.	.	PUNCT
ejpam-5303	219	4	bull	bull	PROPN
ejpam-5303	219	5	.	.	PUNCT
ejpam-5303	220	1	(	(	PUNCT
ejpam-5303	220	2	nat	nat	PROPN
ejpam-5303	220	3	.	.	PUNCT
ejpam-5303	221	1	sci	sci	PROPN
ejpam-5303	221	2	)	)	PUNCT
ejpam-5303	221	3	,	,	PUNCT
ejpam-5303	221	4	20(2):135–144	20(2):135–144	PROPN
ejpam-5303	221	5	,	,	PUNCT
ejpam-5303	221	6	1993	1993	NUM
ejpam-5303	221	7	.	.	PUNCT
ejpam-5303	222	1	[	[	X
ejpam-5303	222	2	13	13	NUM
ejpam-5303	222	3	]	]	PUNCT
ejpam-5303	222	4	s.	s.	PROPN
ejpam-5303	222	5	mecheri	mecheri	PROPN
ejpam-5303	222	6	.	.	PUNCT
ejpam-5303	223	1	bishops	bishop	NOUN
ejpam-5303	223	2	property	property	VERB
ejpam-5303	223	3	β	β	PROPN
ejpam-5303	223	4	and	and	CCONJ
ejpam-5303	223	5	riesz	riesz	VERB
ejpam-5303	223	6	idempotent	idempotent	NOUN
ejpam-5303	223	7	for	for	ADP
ejpam-5303	223	8	k−quasi−paranormal	k−quasi−paranormal	PROPN
ejpam-5303	223	9	operators	operator	NOUN
ejpam-5303	223	10	.	.	PUNCT
ejpam-5303	224	1	banach	banach	PROPN
ejpam-5303	224	2	j.	j.	PROPN
ejpam-5303	224	3	math	math	PROPN
ejpam-5303	224	4	.	.	PUNCT
ejpam-5303	225	1	anal	anal	PROPN
ejpam-5303	225	2	.	.	PROPN
ejpam-5303	225	3	,	,	PUNCT
ejpam-5303	225	4	6(1):147–154	6(1):147–154	NOUN
ejpam-5303	225	5	,	,	PUNCT
ejpam-5303	225	6	2012	2012	NUM
ejpam-5303	225	7	.	.	PUNCT
ejpam-5303	226	1	references	reference	NOUN
ejpam-5303	226	2	2083	2083	NUM
ejpam-5303	227	1	[	[	X
ejpam-5303	227	2	14	14	NUM
ejpam-5303	227	3	]	]	PUNCT
ejpam-5303	227	4	v.	v.	CCONJ
ejpam-5303	227	5	stojiljkovic	stojiljkovic	VERB
ejpam-5303	227	6	.	.	PUNCT
ejpam-5303	228	1	twice	twice	PRON
ejpam-5303	228	2	differentiable	differentiable	ADJ
ejpam-5303	228	3	ostrowski	ostrowski	ADJ
ejpam-5303	228	4	type	type	NOUN
ejpam-5303	228	5	tensorial	tensorial	ADJ
ejpam-5303	228	6	norm	norm	NOUN
ejpam-5303	228	7	inequalities	inequality	NOUN
ejpam-5303	228	8	for	for	ADP
ejpam-5303	228	9	continuous	continuous	ADJ
ejpam-5303	228	10	functions	function	NOUN
ejpam-5303	228	11	of	of	ADP
ejpam-5303	228	12	selfadjoint	selfadjoint	NOUN
ejpam-5303	228	13	operators	operator	NOUN
ejpam-5303	228	14	in	in	ADP
ejpam-5303	228	15	hilbert	hilbert	PROPN
ejpam-5303	228	16	spaces	space	NOUN
ejpam-5303	228	17	.	.	PUNCT
ejpam-5303	229	1	european	european	ADJ
ejpam-5303	229	2	journal	journal	PROPN
ejpam-5303	229	3	of	of	ADP
ejpam-5303	229	4	pure	pure	ADJ
ejpam-5303	229	5	and	and	CCONJ
ejpam-5303	229	6	applied	applied	ADJ
ejpam-5303	229	7	mathematics	mathematic	NOUN
ejpam-5303	229	8	,	,	PUNCT
ejpam-5303	229	9	16(3):1421–1433	16(3):1421–1433	NUM
ejpam-5303	229	10	,	,	PUNCT
ejpam-5303	229	11	2023	2023	NUM
ejpam-5303	229	12	.	.	PUNCT
ejpam-5303	230	1	[	[	X
ejpam-5303	230	2	15	15	NUM
ejpam-5303	230	3	]	]	PUNCT
ejpam-5303	230	4	a.	a.	NOUN
ejpam-5303	230	5	uchiyama	uchiyama	NOUN
ejpam-5303	230	6	.	.	PUNCT
ejpam-5303	231	1	on	on	ADP
ejpam-5303	231	2	the	the	DET
ejpam-5303	231	3	isolated	isolated	ADJ
ejpam-5303	231	4	points	point	NOUN
ejpam-5303	231	5	of	of	ADP
ejpam-5303	231	6	the	the	DET
ejpam-5303	231	7	spectrum	spectrum	NOUN
ejpam-5303	231	8	of	of	ADP
ejpam-5303	231	9	paranormal	paranormal	ADJ
ejpam-5303	231	10	operators	operator	NOUN
ejpam-5303	231	11	.	.	PUNCT
ejpam-5303	232	1	integral	integral	ADJ
ejpam-5303	232	2	equations	equation	NOUN
ejpam-5303	232	3	and	and	CCONJ
ejpam-5303	232	4	operator	operator	NOUN
ejpam-5303	232	5	theory	theory	NOUN
ejpam-5303	232	6	,	,	PUNCT
ejpam-5303	232	7	55(1):145–151	55(1):145–151	NUM
ejpam-5303	232	8	,	,	PUNCT
ejpam-5303	232	9	2006	2006	NUM
ejpam-5303	232	10	.	.	PUNCT