id	sid	tid	token	lemma	pos
ejpam-4392	1	1	european	european	PROPN
ejpam-4392	1	2	journal	journal	PROPN
ejpam-4392	1	3	of	of	ADP
ejpam-4392	1	4	pure	pure	ADJ
ejpam-4392	1	5	and	and	CCONJ
ejpam-4392	1	6	applied	apply	VERB
ejpam-4392	1	7	mathematics	mathematic	NOUN
ejpam-4392	1	8	vol	vol	NOUN
ejpam-4392	1	9	.	.	PROPN
ejpam-4392	2	1	15	15	NUM
ejpam-4392	2	2	,	,	PUNCT
ejpam-4392	2	3	no	no	INTJ
ejpam-4392	2	4	.	.	NOUN
ejpam-4392	2	5	3	3	NUM
ejpam-4392	2	6	,	,	PUNCT
ejpam-4392	2	7	2022	2022	NUM
ejpam-4392	2	8	,	,	PUNCT
ejpam-4392	2	9	830	830	NUM
ejpam-4392	2	10	-	-	SYM
ejpam-4392	2	11	840	840	NUM
ejpam-4392	2	12	issn	issn	PROPN
ejpam-4392	2	13	1307	1307	NUM
ejpam-4392	2	14	-	-	SYM
ejpam-4392	2	15	5543	5543	NUM
ejpam-4392	2	16	–	–	PUNCT
ejpam-4392	2	17	ejpam.com	ejpam.com	X
ejpam-4392	2	18	published	publish	VERB
ejpam-4392	2	19	by	by	ADP
ejpam-4392	2	20	new	new	PROPN
ejpam-4392	2	21	york	york	PROPN
ejpam-4392	2	22	business	business	PROPN
ejpam-4392	2	23	global	global	NOUN
ejpam-4392	2	24	on	on	ADP
ejpam-4392	2	25	m−quasi	m−quasi	X
ejpam-4392	2	26	paranormal	paranormal	PROPN
ejpam-4392	2	27	operators	operator	NOUN
ejpam-4392	2	28	valdete	valdete	NOUN
ejpam-4392	2	29	rexhëbeqaj	rexhëbeqaj	ADP
ejpam-4392	2	30	hamiti1	hamiti1	PROPN
ejpam-4392	2	31	,	,	PUNCT
ejpam-4392	2	32	qefsere	qefsere	PROPN
ejpam-4392	2	33	doko	doko	PROPN
ejpam-4392	2	34	gjonbalaj1,∗	gjonbalaj1,∗	PROPN
ejpam-4392	2	35	1	1	NUM
ejpam-4392	2	36	department	department	NOUN
ejpam-4392	2	37	of	of	ADP
ejpam-4392	2	38	mathematics	mathematic	NOUN
ejpam-4392	2	39	,	,	PUNCT
ejpam-4392	2	40	faculty	faculty	NOUN
ejpam-4392	2	41	of	of	ADP
ejpam-4392	2	42	electrical	electrical	ADJ
ejpam-4392	2	43	and	and	CCONJ
ejpam-4392	2	44	computer	computer	NOUN
ejpam-4392	2	45	engineering	engineering	NOUN
ejpam-4392	2	46	,	,	PUNCT
ejpam-4392	2	47	university	university	PROPN
ejpam-4392	2	48	of	of	ADP
ejpam-4392	2	49	prishtina	prishtina	PROPN
ejpam-4392	2	50	“	"	PUNCT
ejpam-4392	2	51	hasan	hasan	PROPN
ejpam-4392	2	52	prishtina	prishtina	PROPN
ejpam-4392	2	53	”	"	PUNCT
ejpam-4392	2	54	,	,	PUNCT
ejpam-4392	2	55	prishtinë	prishtinë	PROPN
ejpam-4392	2	56	,	,	PUNCT
ejpam-4392	2	57	10000	10000	NUM
ejpam-4392	2	58	,	,	PUNCT
ejpam-4392	2	59	kosovë	kosovë	NOUN
ejpam-4392	2	60	abstract	abstract	NOUN
ejpam-4392	2	61	.	.	PUNCT
ejpam-4392	3	1	in	in	ADP
ejpam-4392	3	2	this	this	DET
ejpam-4392	3	3	paper	paper	NOUN
ejpam-4392	3	4	we	we	PRON
ejpam-4392	3	5	introduce	introduce	VERB
ejpam-4392	3	6	a	a	DET
ejpam-4392	3	7	new	new	ADJ
ejpam-4392	3	8	class	class	NOUN
ejpam-4392	3	9	of	of	ADP
ejpam-4392	3	10	operators	operator	NOUN
ejpam-4392	3	11	called	call	VERB
ejpam-4392	3	12	m−quasi	m−quasi	PROPN
ejpam-4392	3	13	paranormal	paranormal	ADJ
ejpam-4392	3	14	operators	operator	NOUN
ejpam-4392	3	15	.	.	PUNCT
ejpam-4392	4	1	a	a	DET
ejpam-4392	4	2	bounded	bounded	ADJ
ejpam-4392	4	3	linear	linear	ADJ
ejpam-4392	4	4	operator	operator	NOUN
ejpam-4392	4	5	t	t	PROPN
ejpam-4392	4	6	in	in	ADP
ejpam-4392	4	7	a	a	DET
ejpam-4392	4	8	complex	complex	ADJ
ejpam-4392	4	9	hilbert	hilbert	NOUN
ejpam-4392	4	10	space	space	NOUN
ejpam-4392	4	11	h	h	NOUN
ejpam-4392	4	12	is	be	AUX
ejpam-4392	4	13	said	say	VERB
ejpam-4392	4	14	to	to	PART
ejpam-4392	4	15	be	be	AUX
ejpam-4392	4	16	a	a	DET
ejpam-4392	4	17	m−quasi	m−quasi	NOUN
ejpam-4392	4	18	paranormal	paranormal	ADJ
ejpam-4392	4	19	operator	operator	NOUN
ejpam-4392	4	20	if	if	SCONJ
ejpam-4392	4	21	it	it	PRON
ejpam-4392	4	22	satisfies	satisfy	VERB
ejpam-4392	4	23	∥t	∥t	PROPN
ejpam-4392	4	24	2x∥2	2x∥2	NOUN
ejpam-4392	4	25	≤	≤	NUM
ejpam-4392	4	26	m∥t	m∥t	VERB
ejpam-4392	4	27	3x∥	3x∥	NUM
ejpam-4392	4	28	·	·	PUNCT
ejpam-4392	4	29	∥tx∥	∥tx∥	ADV
ejpam-4392	4	30	,	,	PUNCT
ejpam-4392	4	31	∀x	∀x	VERB
ejpam-4392	4	32	∈	∈	PROPN
ejpam-4392	4	33	h	h	NOUN
ejpam-4392	4	34	,	,	PUNCT
ejpam-4392	4	35	where	where	SCONJ
ejpam-4392	4	36	m	m	NOUN
ejpam-4392	4	37	is	be	AUX
ejpam-4392	4	38	a	a	DET
ejpam-4392	4	39	real	real	ADJ
ejpam-4392	4	40	positive	positive	ADJ
ejpam-4392	4	41	number	number	NOUN
ejpam-4392	4	42	.	.	PUNCT
ejpam-4392	5	1	we	we	PRON
ejpam-4392	5	2	prove	prove	VERB
ejpam-4392	5	3	basic	basic	ADJ
ejpam-4392	5	4	properties	property	NOUN
ejpam-4392	5	5	,	,	PUNCT
ejpam-4392	5	6	the	the	DET
ejpam-4392	5	7	structural	structural	ADJ
ejpam-4392	5	8	and	and	CCONJ
ejpam-4392	5	9	spectral	spectral	ADJ
ejpam-4392	5	10	properties	property	NOUN
ejpam-4392	5	11	of	of	ADP
ejpam-4392	5	12	this	this	DET
ejpam-4392	5	13	class	class	NOUN
ejpam-4392	5	14	of	of	ADP
ejpam-4392	5	15	operators	operator	NOUN
ejpam-4392	5	16	.	.	PUNCT
ejpam-4392	6	1	2020	2020	NUM
ejpam-4392	6	2	mathematics	mathematic	NOUN
ejpam-4392	6	3	subject	subject	NOUN
ejpam-4392	6	4	classifications	classification	NOUN
ejpam-4392	6	5	:	:	PUNCT
ejpam-4392	6	6	47b47	47b47	NOUN
ejpam-4392	6	7	,	,	PUNCT
ejpam-4392	6	8	47b20	47b20	NUM
ejpam-4392	6	9	key	key	ADJ
ejpam-4392	6	10	words	word	NOUN
ejpam-4392	6	11	and	and	CCONJ
ejpam-4392	6	12	phrases	phrase	NOUN
ejpam-4392	6	13	:	:	PUNCT
ejpam-4392	6	14	m−quasi	m−quasi	NOUN
ejpam-4392	6	15	paranormal	paranormal	ADJ
ejpam-4392	6	16	operator	operator	NOUN
ejpam-4392	6	17	,	,	PUNCT
ejpam-4392	6	18	m−quasi	m−quasi	NOUN
ejpam-4392	6	19	hyponormal	hyponormal	ADJ
ejpam-4392	6	20	operator	operator	NOUN
ejpam-4392	6	21	,	,	PUNCT
ejpam-4392	6	22	m−	m−	PROPN
ejpam-4392	6	23	paranormal	paranormal	NOUN
ejpam-4392	6	24	operator	operator	NOUN
ejpam-4392	6	25	1	1	NUM
ejpam-4392	6	26	.	.	PUNCT
ejpam-4392	6	27	introduction	introduction	NOUN
ejpam-4392	6	28	throughout	throughout	ADP
ejpam-4392	6	29	this	this	DET
ejpam-4392	6	30	paper	paper	NOUN
ejpam-4392	6	31	,	,	PUNCT
ejpam-4392	6	32	let	let	VERB
ejpam-4392	6	33	h	h	PRON
ejpam-4392	6	34	be	be	AUX
ejpam-4392	6	35	a	a	DET
ejpam-4392	6	36	complex	complex	ADJ
ejpam-4392	6	37	hilbert	hilbert	NOUN
ejpam-4392	6	38	space	space	NOUN
ejpam-4392	6	39	with	with	ADP
ejpam-4392	6	40	inner	inner	ADJ
ejpam-4392	6	41	product	product	NOUN
ejpam-4392	6	42	⟨	⟨	VERB
ejpam-4392	6	43	·	·	PUNCT
ejpam-4392	6	44	,	,	PUNCT
ejpam-4392	6	45	·	·	PUNCT
ejpam-4392	6	46	⟩.	⟩.	NOUN
ejpam-4392	6	47	let	let	VERB
ejpam-4392	6	48	l(h	l(h	PROPN
ejpam-4392	6	49	)	)	PUNCT
ejpam-4392	6	50	denote	denote	VERB
ejpam-4392	6	51	the	the	DET
ejpam-4392	6	52	c∗	c∗	PROPN
ejpam-4392	6	53	algebra	algebra	NOUN
ejpam-4392	6	54	of	of	ADP
ejpam-4392	6	55	all	all	DET
ejpam-4392	6	56	bounded	bounded	ADJ
ejpam-4392	6	57	operators	operator	NOUN
ejpam-4392	6	58	on	on	ADP
ejpam-4392	6	59	h.	h.	PROPN
ejpam-4392	6	60	for	for	ADP
ejpam-4392	6	61	t	t	PROPN
ejpam-4392	6	62	∈	∈	PROPN
ejpam-4392	6	63	l(h	l(h	PROPN
ejpam-4392	6	64	)	)	PUNCT
ejpam-4392	6	65	,	,	PUNCT
ejpam-4392	6	66	we	we	PRON
ejpam-4392	6	67	denote	denote	VERB
ejpam-4392	6	68	by	by	ADP
ejpam-4392	6	69	kert	kert	PROPN
ejpam-4392	6	70	the	the	DET
ejpam-4392	6	71	null	null	ADJ
ejpam-4392	6	72	space	space	NOUN
ejpam-4392	6	73	,	,	PUNCT
ejpam-4392	6	74	by	by	ADP
ejpam-4392	6	75	t	t	PROPN
ejpam-4392	6	76	(	(	PUNCT
ejpam-4392	6	77	h	h	NOUN
ejpam-4392	6	78	)	)	PUNCT
ejpam-4392	6	79	the	the	DET
ejpam-4392	6	80	range	range	NOUN
ejpam-4392	6	81	of	of	ADP
ejpam-4392	6	82	t.	t.	PROPN
ejpam-4392	6	83	the	the	DET
ejpam-4392	6	84	null	null	ADJ
ejpam-4392	6	85	operator	operator	NOUN
ejpam-4392	6	86	and	and	CCONJ
ejpam-4392	6	87	the	the	DET
ejpam-4392	6	88	identity	identity	NOUN
ejpam-4392	6	89	on	on	ADP
ejpam-4392	6	90	h	h	NOUN
ejpam-4392	6	91	will	will	AUX
ejpam-4392	6	92	be	be	AUX
ejpam-4392	6	93	denoted	denote	VERB
ejpam-4392	6	94	by	by	ADP
ejpam-4392	6	95	o	o	PROPN
ejpam-4392	6	96	and	and	CCONJ
ejpam-4392	6	97	i	i	PROPN
ejpam-4392	6	98	,	,	PUNCT
ejpam-4392	6	99	respectively	respectively	ADV
ejpam-4392	6	100	.	.	PUNCT
ejpam-4392	7	1	if	if	SCONJ
ejpam-4392	7	2	t	t	PROPN
ejpam-4392	7	3	is	be	AUX
ejpam-4392	7	4	an	an	DET
ejpam-4392	7	5	operator	operator	NOUN
ejpam-4392	7	6	,	,	PUNCT
ejpam-4392	7	7	then	then	ADV
ejpam-4392	7	8	t	t	PROPN
ejpam-4392	7	9	∗	∗	NOUN
ejpam-4392	7	10	is	be	AUX
ejpam-4392	7	11	its	its	PRON
ejpam-4392	7	12	adjoint	adjoint	NOUN
ejpam-4392	7	13	,	,	PUNCT
ejpam-4392	7	14	and	and	CCONJ
ejpam-4392	7	15	∥t∥	∥t∥	CCONJ
ejpam-4392	7	16	=	=	SYM
ejpam-4392	7	17	∥t	∥t	ADJ
ejpam-4392	7	18	∗∥.	∗∥.	NOUN
ejpam-4392	7	19	the	the	DET
ejpam-4392	7	20	closure	closure	NOUN
ejpam-4392	7	21	of	of	ADP
ejpam-4392	7	22	a	a	DET
ejpam-4392	7	23	set	set	NOUN
ejpam-4392	7	24	a	a	PRON
ejpam-4392	7	25	will	will	AUX
ejpam-4392	7	26	be	be	AUX
ejpam-4392	7	27	denoted	denote	VERB
ejpam-4392	7	28	by	by	ADP
ejpam-4392	7	29	a.	a.	NOUN
ejpam-4392	7	30	recall	recall	NOUN
ejpam-4392	7	31	that	that	SCONJ
ejpam-4392	7	32	an	an	DET
ejpam-4392	7	33	operator	operator	NOUN
ejpam-4392	7	34	t	t	PROPN
ejpam-4392	7	35	∈	∈	PROPN
ejpam-4392	7	36	l(h	l(h	PROPN
ejpam-4392	7	37	)	)	PUNCT
ejpam-4392	7	38	is	be	AUX
ejpam-4392	7	39	said	say	VERB
ejpam-4392	7	40	to	to	PART
ejpam-4392	7	41	be	be	AUX
ejpam-4392	7	42	(	(	PUNCT
ejpam-4392	7	43	see	see	VERB
ejpam-4392	7	44	[	[	X
ejpam-4392	7	45	6	6	NUM
ejpam-4392	7	46	]	]	SYM
ejpam-4392	7	47	):	):	PUNCT
ejpam-4392	7	48	•	•	ADP
ejpam-4392	7	49	an	an	DET
ejpam-4392	7	50	isometry	isometry	NOUN
ejpam-4392	7	51	if	if	SCONJ
ejpam-4392	7	52	∥tx∥	∥tx∥	ADP
ejpam-4392	7	53	=	=	SYM
ejpam-4392	7	54	∥x∥	∥x∥	NOUN
ejpam-4392	7	55	,	,	PUNCT
ejpam-4392	7	56	∀x	∀x	VERB
ejpam-4392	7	57	∈	∈	PROPN
ejpam-4392	7	58	h	h	NOUN
ejpam-4392	7	59	;	;	PUNCT
ejpam-4392	7	60	•	•	ADP
ejpam-4392	7	61	an	an	DET
ejpam-4392	7	62	unitary	unitary	ADJ
ejpam-4392	7	63	operator	operator	NOUN
ejpam-4392	7	64	if	if	SCONJ
ejpam-4392	7	65	t	t	PROPN
ejpam-4392	7	66	∗t	∗t	PROPN
ejpam-4392	7	67	=	=	SYM
ejpam-4392	7	68	tt	tt	PROPN
ejpam-4392	7	69	∗	∗	NOUN
ejpam-4392	7	70	=	=	PUNCT
ejpam-4392	7	71	i	i	NOUN
ejpam-4392	7	72	;	;	PUNCT
ejpam-4392	7	73	•	•	ADP
ejpam-4392	7	74	a	a	DET
ejpam-4392	7	75	positive	positive	ADJ
ejpam-4392	7	76	operator	operator	NOUN
ejpam-4392	7	77	t	t	PROPN
ejpam-4392	7	78	≥	≥	NOUN
ejpam-4392	7	79	o	o	NOUN
ejpam-4392	7	80	,	,	PUNCT
ejpam-4392	7	81	if	if	SCONJ
ejpam-4392	7	82	⟨tx	⟨tx	PROPN
ejpam-4392	7	83	,	,	PUNCT
ejpam-4392	7	84	x⟩	x⟩	PUNCT
ejpam-4392	7	85	≥	≥	NOUN
ejpam-4392	7	86	0	0	NUM
ejpam-4392	7	87	,	,	PUNCT
ejpam-4392	7	88	∀x	∀x	X
ejpam-4392	7	89	∈	∈	PROPN
ejpam-4392	7	90	h.	h.	PROPN
ejpam-4392	7	91	∗corresponding	∗corresponde	VERB
ejpam-4392	7	92	author	author	NOUN
ejpam-4392	7	93	.	.	PUNCT
ejpam-4392	8	1	doi	doi	NOUN
ejpam-4392	8	2	:	:	PUNCT
ejpam-4392	8	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4392	https://doi.org/10.29020/nybg.ejpam.v15i3.4392	X
ejpam-4392	8	4	email	email	NOUN
ejpam-4392	8	5	addresses	address	NOUN
ejpam-4392	8	6	:	:	PUNCT
ejpam-4392	8	7	valdete.rexhebeqaj@uni-pr.edu	valdete.rexhebeqaj@uni-pr.edu	X
ejpam-4392	8	8	(	(	PUNCT
ejpam-4392	8	9	v.	v.	PROPN
ejpam-4392	8	10	r.	r.	PROPN
ejpam-4392	8	11	hamiti	hamiti	PROPN
ejpam-4392	8	12	)	)	PUNCT
ejpam-4392	8	13	,	,	PUNCT
ejpam-4392	8	14	qefsere.gjonbalaj@uni-pr.edu	qefsere.gjonbalaj@uni-pr.edu	PROPN
ejpam-4392	8	15	(	(	PUNCT
ejpam-4392	8	16	q.	q.	PROPN
ejpam-4392	8	17	d.	d.	PROPN
ejpam-4392	8	18	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	8	19	)	)	PUNCT
ejpam-4392	8	20	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4392	9	1	830	830	NUM
ejpam-4392	9	2	©	©	ADP
ejpam-4392	9	3	2022	2022	NUM
ejpam-4392	9	4	ejpam	ejpam	VERB
ejpam-4392	9	5	all	all	DET
ejpam-4392	9	6	rights	right	NOUN
ejpam-4392	9	7	reserved	reserve	VERB
ejpam-4392	9	8	.	.	PUNCT
ejpam-4392	10	1	v.	v.	PROPN
ejpam-4392	10	2	r.	r.	PROPN
ejpam-4392	10	3	hamiti	hamiti	PROPN
ejpam-4392	10	4	,	,	PUNCT
ejpam-4392	10	5	q.	q.	PROPN
ejpam-4392	10	6	d.	d.	PROPN
ejpam-4392	10	7	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	10	8	/	/	SYM
ejpam-4392	10	9	eur	eur	PROPN
ejpam-4392	10	10	.	.	PUNCT
ejpam-4392	11	1	j.	j.	PROPN
ejpam-4392	11	2	pure	pure	PROPN
ejpam-4392	11	3	appl	appl	PROPN
ejpam-4392	11	4	.	.	PROPN
ejpam-4392	11	5	math	math	PROPN
ejpam-4392	11	6	,	,	PUNCT
ejpam-4392	11	7	15	15	NUM
ejpam-4392	11	8	(	(	PUNCT
ejpam-4392	11	9	3	3	NUM
ejpam-4392	11	10	)	)	PUNCT
ejpam-4392	11	11	(	(	PUNCT
ejpam-4392	11	12	2022	2022	NUM
ejpam-4392	11	13	)	)	PUNCT
ejpam-4392	11	14	,	,	PUNCT
ejpam-4392	11	15	830	830	NUM
ejpam-4392	11	16	-	-	SYM
ejpam-4392	11	17	840	840	NUM
ejpam-4392	11	18	831	831	NUM
ejpam-4392	11	19	by	by	ADP
ejpam-4392	11	20	σ(t	σ(t	PROPN
ejpam-4392	11	21	)	)	PUNCT
ejpam-4392	12	1	we	we	PRON
ejpam-4392	12	2	write	write	VERB
ejpam-4392	12	3	the	the	DET
ejpam-4392	12	4	spectrum	spectrum	NOUN
ejpam-4392	12	5	of	of	ADP
ejpam-4392	12	6	t	t	PROPN
ejpam-4392	12	7	,	,	PUNCT
ejpam-4392	12	8	the	the	DET
ejpam-4392	12	9	r(t	r(t	NOUN
ejpam-4392	12	10	)	)	PUNCT
ejpam-4392	12	11	is	be	AUX
ejpam-4392	12	12	the	the	DET
ejpam-4392	12	13	spectral	spectral	ADJ
ejpam-4392	12	14	radius	radius	NOUN
ejpam-4392	12	15	of	of	ADP
ejpam-4392	12	16	operator	operator	NOUN
ejpam-4392	12	17	t	t	PROPN
ejpam-4392	12	18	which	which	PRON
ejpam-4392	12	19	is	be	AUX
ejpam-4392	12	20	defined	define	VERB
ejpam-4392	12	21	by	by	ADP
ejpam-4392	12	22	r(t	r(t	NOUN
ejpam-4392	12	23	)	)	PUNCT
ejpam-4392	13	1	=	=	NOUN
ejpam-4392	13	2	sup{|λ|	sup{|λ|	NOUN
ejpam-4392	13	3	:	:	PUNCT
ejpam-4392	13	4	λ	λ	X
ejpam-4392	13	5	∈	∈	PROPN
ejpam-4392	13	6	σ(t	σ(t	PROPN
ejpam-4392	13	7	)	)	PUNCT
ejpam-4392	13	8	}	}	PUNCT
ejpam-4392	13	9	.	.	PUNCT
ejpam-4392	14	1	the	the	PRON
ejpam-4392	14	2	σa(t	σa(t	NUM
ejpam-4392	14	3	)	)	PUNCT
ejpam-4392	14	4	is	be	AUX
ejpam-4392	14	5	the	the	DET
ejpam-4392	14	6	approximate	approximate	ADJ
ejpam-4392	14	7	point	point	NOUN
ejpam-4392	14	8	spectrum	spectrum	NOUN
ejpam-4392	14	9	of	of	ADP
ejpam-4392	14	10	operator	operator	NOUN
ejpam-4392	14	11	t	t	PROPN
ejpam-4392	14	12	and	and	CCONJ
ejpam-4392	14	13	it	it	PRON
ejpam-4392	14	14	is	be	AUX
ejpam-4392	14	15	proved	prove	VERB
ejpam-4392	14	16	that	that	SCONJ
ejpam-4392	14	17	if	if	SCONJ
ejpam-4392	14	18	λ	λ	PROPN
ejpam-4392	14	19	∈	∈	NOUN
ejpam-4392	14	20	σa(t	σa(t	PUNCT
ejpam-4392	14	21	)	)	PUNCT
ejpam-4392	14	22	,	,	PUNCT
ejpam-4392	14	23	then	then	ADV
ejpam-4392	14	24	exists	exist	VERB
ejpam-4392	14	25	sequence	sequence	NOUN
ejpam-4392	14	26	(	(	PUNCT
ejpam-4392	14	27	xn	xn	PROPN
ejpam-4392	14	28	)	)	PUNCT
ejpam-4392	14	29	,	,	PUNCT
ejpam-4392	14	30	where	where	SCONJ
ejpam-4392	14	31	∥xn∥	∥xn∥	PROPN
ejpam-4392	14	32	=	=	SYM
ejpam-4392	14	33	1	1	NUM
ejpam-4392	14	34	and	and	CCONJ
ejpam-4392	14	35	∥(t	∥(t	VERB
ejpam-4392	14	36	−	−	PUNCT
ejpam-4392	14	37	λi)xn∥	λi)xn∥	X
ejpam-4392	14	38	→	→	SYM
ejpam-4392	14	39	0	0	NUM
ejpam-4392	14	40	,	,	PUNCT
ejpam-4392	14	41	n	n	NOUN
ejpam-4392	14	42	→	→	SYM
ejpam-4392	14	43	+	+	NUM
ejpam-4392	14	44	∞	∞	PROPN
ejpam-4392	14	45	(	(	PUNCT
ejpam-4392	14	46	see	see	VERB
ejpam-4392	14	47	[	[	X
ejpam-4392	14	48	6	6	NUM
ejpam-4392	14	49	]	]	NUM
ejpam-4392	14	50	)	)	PUNCT
ejpam-4392	14	51	.	.	PUNCT
ejpam-4392	15	1	an	an	DET
ejpam-4392	15	2	operator	operator	NOUN
ejpam-4392	15	3	t	t	PROPN
ejpam-4392	15	4	∈	∈	PROPN
ejpam-4392	15	5	l(h	l(h	PROPN
ejpam-4392	15	6	)	)	PUNCT
ejpam-4392	15	7	is	be	AUX
ejpam-4392	15	8	said	say	VERB
ejpam-4392	15	9	to	to	PART
ejpam-4392	15	10	be	be	AUX
ejpam-4392	15	11	:	:	PUNCT
ejpam-4392	15	12	•	•	ADP
ejpam-4392	15	13	a	a	DET
ejpam-4392	15	14	paranormal	paranormal	ADJ
ejpam-4392	15	15	operator	operator	NOUN
ejpam-4392	15	16	if	if	SCONJ
ejpam-4392	15	17	∥tx∥2	∥tx∥2	NOUN
ejpam-4392	15	18	≤	≤	X
ejpam-4392	15	19	∥t	∥t	ADJ
ejpam-4392	15	20	2x∥	2x∥	NOUN
ejpam-4392	15	21	,	,	PUNCT
ejpam-4392	15	22	∀x	∀x	X
ejpam-4392	15	23	∈	∈	PROPN
ejpam-4392	15	24	h	h	NOUN
ejpam-4392	15	25	,	,	PUNCT
ejpam-4392	15	26	∥x∥	∥x∥	NOUN
ejpam-4392	15	27	=	=	SYM
ejpam-4392	15	28	1	1	NUM
ejpam-4392	15	29	,	,	PUNCT
ejpam-4392	15	30	or	or	CCONJ
ejpam-4392	15	31	equivalently	equivalently	ADV
ejpam-4392	15	32	if	if	SCONJ
ejpam-4392	15	33	t	t	PROPN
ejpam-4392	15	34	∗2	∗2	PROPN
ejpam-4392	15	35	t	t	PROPN
ejpam-4392	15	36	2−	2−	NUM
ejpam-4392	15	37	2kt	2kt	ADJ
ejpam-4392	15	38	∗t	∗t	PROPN
ejpam-4392	15	39	+	+	CCONJ
ejpam-4392	15	40	k2	k2	X
ejpam-4392	15	41	≥	≥	X
ejpam-4392	15	42	o,∀k	o,∀k	X
ejpam-4392	15	43	>	>	X
ejpam-4392	15	44	0	0	PUNCT
ejpam-4392	15	45	(	(	PUNCT
ejpam-4392	15	46	see	see	VERB
ejpam-4392	15	47	[	[	X
ejpam-4392	15	48	2	2	X
ejpam-4392	15	49	]	]	X
ejpam-4392	16	1	[	[	X
ejpam-4392	16	2	4	4	NUM
ejpam-4392	16	3	]	]	PUNCT
ejpam-4392	16	4	,	,	PUNCT
ejpam-4392	16	5	[	[	X
ejpam-4392	16	6	5	5	NUM
ejpam-4392	16	7	]	]	PUNCT
ejpam-4392	16	8	,	,	PUNCT
ejpam-4392	16	9	[	[	X
ejpam-4392	16	10	11	11	NUM
ejpam-4392	16	11	]	]	NUM
ejpam-4392	16	12	)	)	PUNCT
ejpam-4392	16	13	;	;	PUNCT
ejpam-4392	16	14	•	•	ADP
ejpam-4392	16	15	a	a	DET
ejpam-4392	16	16	m−paranormal	m−paranormal	ADJ
ejpam-4392	16	17	operators	operator	NOUN
ejpam-4392	16	18	if	if	SCONJ
ejpam-4392	16	19	m2	m2	PROPN
ejpam-4392	16	20	t	t	PROPN
ejpam-4392	16	21	∗2	∗2	PROPN
ejpam-4392	16	22	t	t	PROPN
ejpam-4392	16	23	2	2	NUM
ejpam-4392	16	24	−	−	NOUN
ejpam-4392	16	25	2kt	2kt	ADJ
ejpam-4392	17	1	∗t	∗t	PROPN
ejpam-4392	17	2	+	+	CCONJ
ejpam-4392	17	3	k2	k2	X
ejpam-4392	17	4	≥	≥	X
ejpam-4392	17	5	o,∀k	o,∀k	X
ejpam-4392	17	6	>	>	X
ejpam-4392	17	7	0	0	PUNCT
ejpam-4392	18	1	and	and	CCONJ
ejpam-4392	18	2	for	for	ADP
ejpam-4392	18	3	a	a	DET
ejpam-4392	18	4	fixed	fix	VERB
ejpam-4392	18	5	real	real	ADJ
ejpam-4392	18	6	positive	positive	ADJ
ejpam-4392	18	7	number	number	NOUN
ejpam-4392	18	8	m	m	PROPN
ejpam-4392	18	9	,	,	PUNCT
ejpam-4392	18	10	or	or	CCONJ
ejpam-4392	18	11	equivalently	equivalently	ADV
ejpam-4392	18	12	if	if	SCONJ
ejpam-4392	18	13	∥tx∥2	∥tx∥2	NOUN
ejpam-4392	18	14	≤	≤	NUM
ejpam-4392	18	15	m∥t	m∥t	VERB
ejpam-4392	18	16	2x∥	2x∥	NUM
ejpam-4392	18	17	,	,	PUNCT
ejpam-4392	18	18	∀x	∀x	X
ejpam-4392	18	19	∈	∈	PROPN
ejpam-4392	18	20	h	h	NOUN
ejpam-4392	18	21	,	,	PUNCT
ejpam-4392	18	22	∥x∥	∥x∥	NOUN
ejpam-4392	18	23	=	=	SYM
ejpam-4392	18	24	1	1	NUM
ejpam-4392	18	25	and	and	CCONJ
ejpam-4392	18	26	for	for	ADP
ejpam-4392	18	27	a	a	DET
ejpam-4392	18	28	fixed	fix	VERB
ejpam-4392	18	29	real	real	ADJ
ejpam-4392	18	30	positive	positive	ADJ
ejpam-4392	18	31	number	number	NOUN
ejpam-4392	18	32	m	m	PROPN
ejpam-4392	18	33	(	(	PUNCT
ejpam-4392	18	34	see	see	VERB
ejpam-4392	18	35	[	[	X
ejpam-4392	18	36	1	1	NUM
ejpam-4392	18	37	]	]	PUNCT
ejpam-4392	18	38	,	,	PUNCT
ejpam-4392	18	39	[	[	X
ejpam-4392	18	40	3	3	NUM
ejpam-4392	18	41	]	]	PUNCT
ejpam-4392	18	42	,	,	PUNCT
ejpam-4392	18	43	[	[	X
ejpam-4392	18	44	8	8	NUM
ejpam-4392	18	45	]	]	NUM
ejpam-4392	18	46	)	)	PUNCT
ejpam-4392	18	47	;	;	PUNCT
ejpam-4392	18	48	•	•	ADP
ejpam-4392	18	49	a	a	DET
ejpam-4392	18	50	m−quasi	m−quasi	X
ejpam-4392	18	51	hyponormal	hyponormal	ADJ
ejpam-4392	18	52	if	if	SCONJ
ejpam-4392	18	53	∥t	∥t	PROPN
ejpam-4392	18	54	∗tx∥	∗tx∥	NOUN
ejpam-4392	18	55	≤	≤	X
ejpam-4392	18	56	m∥t	m∥t	NOUN
ejpam-4392	18	57	2x∥	2x∥	NUM
ejpam-4392	18	58	,	,	PUNCT
ejpam-4392	18	59	∀x	∀x	X
ejpam-4392	18	60	∈	∈	PROPN
ejpam-4392	18	61	h	h	NOUN
ejpam-4392	18	62	and	and	CCONJ
ejpam-4392	18	63	for	for	ADP
ejpam-4392	18	64	a	a	DET
ejpam-4392	18	65	fixed	fix	VERB
ejpam-4392	18	66	real	real	ADJ
ejpam-4392	18	67	positive	positive	ADJ
ejpam-4392	18	68	number	number	NOUN
ejpam-4392	18	69	m	m	PROPN
ejpam-4392	18	70	(	(	PUNCT
ejpam-4392	18	71	see	see	VERB
ejpam-4392	18	72	[	[	X
ejpam-4392	18	73	9	9	NUM
ejpam-4392	18	74	]	]	PUNCT
ejpam-4392	18	75	,	,	PUNCT
ejpam-4392	18	76	[	[	X
ejpam-4392	18	77	10	10	NUM
ejpam-4392	18	78	]	]	NUM
ejpam-4392	18	79	)	)	PUNCT
ejpam-4392	18	80	.	.	PUNCT
ejpam-4392	19	1	2	2	X
ejpam-4392	19	2	.	.	X
ejpam-4392	19	3	main	main	ADJ
ejpam-4392	19	4	results	result	NOUN
ejpam-4392	19	5	analyzing	analyze	VERB
ejpam-4392	19	6	the	the	DET
ejpam-4392	19	7	very	very	ADV
ejpam-4392	19	8	good	good	ADJ
ejpam-4392	19	9	qualities	quality	NOUN
ejpam-4392	19	10	of	of	ADP
ejpam-4392	19	11	these	these	DET
ejpam-4392	19	12	classes	class	NOUN
ejpam-4392	19	13	of	of	ADP
ejpam-4392	19	14	operators	operator	NOUN
ejpam-4392	19	15	,	,	PUNCT
ejpam-4392	19	16	m−paranormal	m−paranormal	ADJ
ejpam-4392	19	17	and	and	CCONJ
ejpam-4392	19	18	m−quasi	m−quasi	X
ejpam-4392	19	19	hyponormal	hyponormal	ADJ
ejpam-4392	19	20	operators	operator	NOUN
ejpam-4392	19	21	,	,	PUNCT
ejpam-4392	19	22	we	we	PRON
ejpam-4392	19	23	came	come	VERB
ejpam-4392	19	24	to	to	ADP
ejpam-4392	19	25	the	the	DET
ejpam-4392	19	26	idea	idea	NOUN
ejpam-4392	19	27	to	to	PART
ejpam-4392	19	28	introduce	introduce	VERB
ejpam-4392	19	29	a	a	DET
ejpam-4392	19	30	new	new	ADJ
ejpam-4392	19	31	class	class	NOUN
ejpam-4392	19	32	of	of	ADP
ejpam-4392	19	33	operators	operator	NOUN
ejpam-4392	19	34	m−quasi	m−quasi	ADP
ejpam-4392	19	35	paranormal	paranormal	PROPN
ejpam-4392	19	36	,	,	PUNCT
ejpam-4392	19	37	which	which	PRON
ejpam-4392	19	38	could	could	AUX
ejpam-4392	19	39	include	include	VERB
ejpam-4392	19	40	these	these	DET
ejpam-4392	19	41	classes	class	NOUN
ejpam-4392	19	42	of	of	ADP
ejpam-4392	19	43	operators	operator	NOUN
ejpam-4392	19	44	,	,	PUNCT
ejpam-4392	19	45	to	to	PART
ejpam-4392	19	46	be	be	AUX
ejpam-4392	19	47	their	their	PRON
ejpam-4392	19	48	generality	generality	NOUN
ejpam-4392	19	49	and	and	CCONJ
ejpam-4392	19	50	possibly	possibly	ADV
ejpam-4392	19	51	to	to	PART
ejpam-4392	19	52	satisfy	satisfy	VERB
ejpam-4392	19	53	some	some	PRON
ejpam-4392	19	54	of	of	ADP
ejpam-4392	19	55	their	their	PRON
ejpam-4392	19	56	properties	property	NOUN
ejpam-4392	19	57	.	.	PUNCT
ejpam-4392	20	1	definition	definition	NOUN
ejpam-4392	20	2	1	1	NUM
ejpam-4392	20	3	.	.	PUNCT
ejpam-4392	21	1	an	an	DET
ejpam-4392	21	2	operator	operator	NOUN
ejpam-4392	21	3	t	t	PROPN
ejpam-4392	21	4	∈	∈	PROPN
ejpam-4392	21	5	l(h	l(h	PROPN
ejpam-4392	21	6	)	)	PUNCT
ejpam-4392	21	7	is	be	AUX
ejpam-4392	21	8	said	say	VERB
ejpam-4392	21	9	to	to	PART
ejpam-4392	21	10	be	be	AUX
ejpam-4392	21	11	a	a	DET
ejpam-4392	21	12	m−quasi	m−quasi	NOUN
ejpam-4392	21	13	paranormal	paranormal	ADJ
ejpam-4392	21	14	operator	operator	NOUN
ejpam-4392	21	15	,	,	PUNCT
ejpam-4392	21	16	for	for	ADP
ejpam-4392	21	17	a	a	DET
ejpam-4392	21	18	fixed	fix	VERB
ejpam-4392	21	19	real	real	ADJ
ejpam-4392	21	20	positive	positive	ADJ
ejpam-4392	21	21	number	number	NOUN
ejpam-4392	21	22	m	m	NOUN
ejpam-4392	21	23	if	if	SCONJ
ejpam-4392	21	24	t	t	PROPN
ejpam-4392	21	25	satisfies	satisfy	VERB
ejpam-4392	21	26	∥t	∥t	PROPN
ejpam-4392	21	27	2x∥2	2x∥2	NOUN
ejpam-4392	21	28	≤	≤	NUM
ejpam-4392	21	29	m∥t	m∥t	VERB
ejpam-4392	21	30	3x∥	3x∥	NUM
ejpam-4392	21	31	·	·	PUNCT
ejpam-4392	21	32	∥tx∥	∥tx∥	ADV
ejpam-4392	21	33	,	,	PUNCT
ejpam-4392	21	34	∀x	∀x	VERB
ejpam-4392	21	35	∈	∈	PROPN
ejpam-4392	21	36	h.	h.	NOUN
ejpam-4392	21	37	from	from	ADP
ejpam-4392	21	38	the	the	DET
ejpam-4392	21	39	definition	definition	NOUN
ejpam-4392	21	40	we	we	PRON
ejpam-4392	21	41	can	can	AUX
ejpam-4392	21	42	prove	prove	VERB
ejpam-4392	21	43	the	the	DET
ejpam-4392	21	44	proper	proper	ADJ
ejpam-4392	21	45	inclusions	inclusion	NOUN
ejpam-4392	21	46	relation	relation	NOUN
ejpam-4392	21	47	among	among	ADP
ejpam-4392	21	48	the	the	DET
ejpam-4392	21	49	m−quasi	m−quasi	PROPN
ejpam-4392	21	50	hyponormal	hyponormal	ADJ
ejpam-4392	21	51	,	,	PUNCT
ejpam-4392	21	52	m−paranormal	m−paranormal	ADJ
ejpam-4392	21	53	and	and	CCONJ
ejpam-4392	21	54	m−quasi	m−quasi	NOUN
ejpam-4392	21	55	paranormal	paranormal	ADJ
ejpam-4392	21	56	operators	operator	NOUN
ejpam-4392	21	57	as	as	SCONJ
ejpam-4392	21	58	follows	follow	VERB
ejpam-4392	21	59	:	:	PUNCT
ejpam-4392	21	60	proposition	proposition	NOUN
ejpam-4392	21	61	1	1	NUM
ejpam-4392	21	62	.	.	PUNCT
ejpam-4392	22	1	let	let	AUX
ejpam-4392	22	2	be	be	AUX
ejpam-4392	22	3	t	t	NOUN
ejpam-4392	22	4	∈	∈	PROPN
ejpam-4392	22	5	l(h	l(h	PROPN
ejpam-4392	22	6	)	)	PUNCT
ejpam-4392	22	7	.	.	PUNCT
ejpam-4392	23	1	1	1	X
ejpam-4392	23	2	.	.	X
ejpam-4392	24	1	every	every	DET
ejpam-4392	24	2	m−quasi	m−quasi	PROPN
ejpam-4392	24	3	hyponormal	hyponormal	ADJ
ejpam-4392	24	4	operator	operator	NOUN
ejpam-4392	24	5	is	be	AUX
ejpam-4392	24	6	m−paranormal	m−paranormal	NOUN
ejpam-4392	24	7	operator	operator	NOUN
ejpam-4392	24	8	.	.	PUNCT
ejpam-4392	25	1	2	2	NUM
ejpam-4392	25	2	.	.	X
ejpam-4392	25	3	every	every	DET
ejpam-4392	25	4	m−paranormal	m−paranormal	ADJ
ejpam-4392	25	5	operator	operator	NOUN
ejpam-4392	25	6	is	be	AUX
ejpam-4392	25	7	m−quasi	m−quasi	NOUN
ejpam-4392	25	8	paranormal	paranormal	ADJ
ejpam-4392	25	9	operator	operator	NOUN
ejpam-4392	25	10	.	.	PUNCT
ejpam-4392	26	1	proof	proof	NOUN
ejpam-4392	26	2	.	.	PUNCT
ejpam-4392	27	1	let	let	AUX
ejpam-4392	27	2	be	be	AUX
ejpam-4392	27	3	t	t	NOUN
ejpam-4392	27	4	∈	∈	PROPN
ejpam-4392	27	5	l(h	l(h	PROPN
ejpam-4392	27	6	)	)	PUNCT
ejpam-4392	27	7	and	and	CCONJ
ejpam-4392	27	8	x	x	PUNCT
ejpam-4392	27	9	∈	∈	PROPN
ejpam-4392	27	10	h	h	NOUN
ejpam-4392	27	11	,	,	PUNCT
ejpam-4392	27	12	∥x∥	∥x∥	NOUN
ejpam-4392	27	13	=	=	NOUN
ejpam-4392	27	14	1	1	X
ejpam-4392	27	15	.	.	PUNCT
ejpam-4392	28	1	we	we	PRON
ejpam-4392	28	2	may	may	AUX
ejpam-4392	28	3	assume	assume	VERB
ejpam-4392	28	4	that	that	SCONJ
ejpam-4392	28	5	tx	tx	PROPN
ejpam-4392	28	6	̸=	̸=	PROPN
ejpam-4392	28	7	0	0	NUM
ejpam-4392	28	8	.	.	PROPN
ejpam-4392	29	1	1	1	NUM
ejpam-4392	29	2	.	.	PUNCT
ejpam-4392	30	1	since	since	SCONJ
ejpam-4392	30	2	t	t	PROPN
ejpam-4392	30	3	is	be	AUX
ejpam-4392	30	4	a	a	DET
ejpam-4392	30	5	m−quasi	m−quasi	X
ejpam-4392	30	6	hyponormal	hyponormal	ADJ
ejpam-4392	30	7	operator	operator	NOUN
ejpam-4392	30	8	we	we	PRON
ejpam-4392	30	9	have	have	VERB
ejpam-4392	30	10	∥t	∥t	PROPN
ejpam-4392	30	11	∗tx∥	∗tx∥	NOUN
ejpam-4392	30	12	≤	≤	X
ejpam-4392	30	13	m∥t	m∥t	NOUN
ejpam-4392	30	14	2x∥	2x∥	NUM
ejpam-4392	30	15	,	,	PUNCT
ejpam-4392	30	16	∀x	∀x	X
ejpam-4392	30	17	∈	∈	PROPN
ejpam-4392	30	18	h	h	NOUN
ejpam-4392	30	19	,	,	PUNCT
ejpam-4392	30	20	∥x∥	∥x∥	NOUN
ejpam-4392	30	21	=	=	SYM
ejpam-4392	30	22	1	1	NUM
ejpam-4392	30	23	and	and	CCONJ
ejpam-4392	30	24	for	for	ADP
ejpam-4392	30	25	a	a	DET
ejpam-4392	30	26	fixed	fix	VERB
ejpam-4392	30	27	real	real	ADJ
ejpam-4392	30	28	positive	positive	ADJ
ejpam-4392	30	29	number	number	NOUN
ejpam-4392	30	30	m.	m.	NOUN
ejpam-4392	30	31	v.	v.	PROPN
ejpam-4392	30	32	r.	r.	PROPN
ejpam-4392	30	33	hamiti	hamiti	PROPN
ejpam-4392	30	34	,	,	PUNCT
ejpam-4392	30	35	q.	q.	PROPN
ejpam-4392	30	36	d.	d.	PROPN
ejpam-4392	30	37	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	30	38	/	/	SYM
ejpam-4392	30	39	eur	eur	PROPN
ejpam-4392	30	40	.	.	PUNCT
ejpam-4392	31	1	j.	j.	PROPN
ejpam-4392	31	2	pure	pure	PROPN
ejpam-4392	31	3	appl	appl	PROPN
ejpam-4392	31	4	.	.	PROPN
ejpam-4392	31	5	math	math	PROPN
ejpam-4392	31	6	,	,	PUNCT
ejpam-4392	31	7	15	15	NUM
ejpam-4392	31	8	(	(	PUNCT
ejpam-4392	31	9	3	3	NUM
ejpam-4392	31	10	)	)	PUNCT
ejpam-4392	31	11	(	(	PUNCT
ejpam-4392	31	12	2022	2022	NUM
ejpam-4392	31	13	)	)	PUNCT
ejpam-4392	31	14	,	,	PUNCT
ejpam-4392	31	15	830	830	NUM
ejpam-4392	31	16	-	-	SYM
ejpam-4392	31	17	840	840	NUM
ejpam-4392	31	18	832	832	NUM
ejpam-4392	31	19	we	we	PRON
ejpam-4392	31	20	know	know	VERB
ejpam-4392	31	21	that	that	SCONJ
ejpam-4392	31	22	for	for	ADP
ejpam-4392	31	23	any	any	DET
ejpam-4392	31	24	bounded	bounded	ADJ
ejpam-4392	31	25	linear	linear	ADJ
ejpam-4392	31	26	operator	operator	NOUN
ejpam-4392	31	27	t	t	PROPN
ejpam-4392	31	28	on	on	ADP
ejpam-4392	31	29	h	h	NOUN
ejpam-4392	31	30	and	and	CCONJ
ejpam-4392	31	31	∀x	∀x	NOUN
ejpam-4392	31	32	∈	∈	PROPN
ejpam-4392	31	33	h	h	NOUN
ejpam-4392	31	34	,	,	PUNCT
ejpam-4392	31	35	∥x∥	∥x∥	NOUN
ejpam-4392	31	36	=	=	SYM
ejpam-4392	31	37	1	1	NUM
ejpam-4392	31	38	it	it	PRON
ejpam-4392	31	39	is	be	AUX
ejpam-4392	31	40	valid	valid	ADJ
ejpam-4392	31	41	:	:	PUNCT
ejpam-4392	31	42	∥tx∥2	∥tx∥2	X
ejpam-4392	32	1	≤	≤	NUM
ejpam-4392	33	1	∥t	∥t	ADJ
ejpam-4392	33	2	∗tx∥	∗tx∥	NOUN
ejpam-4392	33	3	therefore	therefore	ADV
ejpam-4392	33	4	m∥t	m∥t	VERB
ejpam-4392	33	5	2x∥	2x∥	NUM
ejpam-4392	33	6	≥	≥	NUM
ejpam-4392	33	7	∥t	∥t	PROPN
ejpam-4392	33	8	∗tx∥	∗tx∥	NOUN
ejpam-4392	33	9	≥	≥	NOUN
ejpam-4392	33	10	∥tx∥2	∥tx∥2	PUNCT
ejpam-4392	34	1	∀x	∀x	X
ejpam-4392	34	2	∈	∈	PROPN
ejpam-4392	34	3	h	h	NOUN
ejpam-4392	34	4	,	,	PUNCT
ejpam-4392	34	5	∥x∥	∥x∥	NOUN
ejpam-4392	34	6	=	=	SYM
ejpam-4392	34	7	1	1	X
ejpam-4392	34	8	.	.	PUNCT
ejpam-4392	35	1	this	this	PRON
ejpam-4392	35	2	prove	prove	VERB
ejpam-4392	35	3	that	that	SCONJ
ejpam-4392	35	4	operator	operator	NOUN
ejpam-4392	35	5	t	t	NOUN
ejpam-4392	35	6	is	be	AUX
ejpam-4392	35	7	also	also	ADV
ejpam-4392	35	8	m−paranormal	m−paranormal	ADJ
ejpam-4392	35	9	.	.	NOUN
ejpam-4392	35	10	2	2	X
ejpam-4392	35	11	.	.	X
ejpam-4392	35	12	now	now	ADV
ejpam-4392	35	13	let	let	VERB
ejpam-4392	35	14	’s	’s	NOUN
ejpam-4392	35	15	suppose	suppose	VERB
ejpam-4392	35	16	that	that	SCONJ
ejpam-4392	35	17	t	t	PROPN
ejpam-4392	35	18	is	be	AUX
ejpam-4392	35	19	a	a	DET
ejpam-4392	35	20	m−paranormal	m−paranormal	ADJ
ejpam-4392	35	21	operator	operator	NOUN
ejpam-4392	35	22	.	.	PUNCT
ejpam-4392	36	1	then	then	ADV
ejpam-4392	36	2	we	we	PRON
ejpam-4392	36	3	have	have	AUX
ejpam-4392	36	4	:	:	PUNCT
ejpam-4392	36	5	m∥t	m∥t	NOUN
ejpam-4392	36	6	3x∥	3x∥	NUM
ejpam-4392	36	7	=	=	SYM
ejpam-4392	37	1	m	m	PRON
ejpam-4392	37	2	∥∥t	∥∥t	VERB
ejpam-4392	37	3	2	2	NUM
ejpam-4392	37	4	tx	tx	NOUN
ejpam-4392	37	5	∥tx∥	∥tx∥	X
ejpam-4392	37	6	∥∥	∥∥	X
ejpam-4392	37	7	·	·	PUNCT
ejpam-4392	37	8	∥tx∥	∥tx∥	ADJ
ejpam-4392	37	9	≥∥∥t	≥∥∥t	PUNCT
ejpam-4392	37	10	tx	tx	VERB
ejpam-4392	37	11	∥tx∥	∥tx∥	ADP
ejpam-4392	37	12	∥∥2	∥∥2	PROPN
ejpam-4392	37	13	·	·	PUNCT
ejpam-4392	37	14	∥tx∥	∥tx∥	NOUN
ejpam-4392	37	15	=	=	SYM
ejpam-4392	37	16	∥t	∥t	PROPN
ejpam-4392	37	17	2x∥2	2x∥2	NOUN
ejpam-4392	37	18	∥tx∥	∥tx∥	NOUN
ejpam-4392	37	19	therefore	therefore	ADV
ejpam-4392	37	20	,	,	PUNCT
ejpam-4392	37	21	m∥t	m∥t	X
ejpam-4392	37	22	3x∥	3x∥	NOUN
ejpam-4392	37	23	·	·	PUNCT
ejpam-4392	37	24	∥tx∥	∥tx∥	ADJ
ejpam-4392	37	25	≥	≥	X
ejpam-4392	37	26	∥t	∥t	ADJ
ejpam-4392	37	27	2x∥2	2x∥2	NOUN
ejpam-4392	37	28	.	.	PUNCT
ejpam-4392	38	1	which	which	PRON
ejpam-4392	38	2	prove	prove	VERB
ejpam-4392	38	3	that	that	PRON
ejpam-4392	38	4	operator	operator	NOUN
ejpam-4392	38	5	t	t	NOUN
ejpam-4392	38	6	is	be	AUX
ejpam-4392	38	7	m−quasi	m−quasi	PRON
ejpam-4392	38	8	paranormal	paranormal	ADJ
ejpam-4392	38	9	operator	operator	NOUN
ejpam-4392	38	10	.	.	PUNCT
ejpam-4392	39	1	from	from	ADP
ejpam-4392	39	2	this	this	DET
ejpam-4392	39	3	proposition	proposition	NOUN
ejpam-4392	39	4	we	we	PRON
ejpam-4392	39	5	have	have	VERB
ejpam-4392	39	6	the	the	DET
ejpam-4392	39	7	inclusion	inclusion	NOUN
ejpam-4392	39	8	:	:	PUNCT
ejpam-4392	39	9	m−quasi	m−quasi	X
ejpam-4392	39	10	hyponormal	hyponormal	PROPN
ejpam-4392	39	11	⊆	⊆	NUM
ejpam-4392	39	12	m−paranormal	m−paranormal	ADJ
ejpam-4392	39	13	⊆	⊆	NUM
ejpam-4392	39	14	m−quasi	m−quasi	NOUN
ejpam-4392	39	15	paranormal	paranormal	NOUN
ejpam-4392	39	16	in	in	ADP
ejpam-4392	39	17	the	the	DET
ejpam-4392	39	18	following	follow	VERB
ejpam-4392	39	19	proposition	proposition	NOUN
ejpam-4392	39	20	we	we	PRON
ejpam-4392	39	21	give	give	VERB
ejpam-4392	39	22	the	the	DET
ejpam-4392	39	23	necessary	necessary	ADJ
ejpam-4392	39	24	and	and	CCONJ
ejpam-4392	39	25	sufficient	sufficient	ADJ
ejpam-4392	39	26	conditions	condition	NOUN
ejpam-4392	39	27	under	under	ADP
ejpam-4392	39	28	which	which	PRON
ejpam-4392	39	29	an	an	DET
ejpam-4392	39	30	operator	operator	NOUN
ejpam-4392	39	31	t	t	NOUN
ejpam-4392	39	32	is	be	AUX
ejpam-4392	39	33	a	a	DET
ejpam-4392	39	34	m−quasi	m−quasi	NOUN
ejpam-4392	39	35	paranormal	paranormal	ADJ
ejpam-4392	39	36	operator	operator	NOUN
ejpam-4392	39	37	.	.	PUNCT
ejpam-4392	40	1	proposition	proposition	NOUN
ejpam-4392	40	2	2	2	NUM
ejpam-4392	40	3	.	.	PUNCT
ejpam-4392	41	1	an	an	DET
ejpam-4392	41	2	operator	operator	NOUN
ejpam-4392	41	3	t	t	PROPN
ejpam-4392	41	4	∈	∈	PROPN
ejpam-4392	41	5	l(h	l(h	PROPN
ejpam-4392	41	6	)	)	PUNCT
ejpam-4392	41	7	is	be	AUX
ejpam-4392	41	8	m−quasi	m−quasi	NOUN
ejpam-4392	41	9	paranormal	paranormal	ADJ
ejpam-4392	41	10	operator	operator	NOUN
ejpam-4392	41	11	if	if	SCONJ
ejpam-4392	41	12	and	and	CCONJ
ejpam-4392	41	13	only	only	ADV
ejpam-4392	41	14	if	if	SCONJ
ejpam-4392	41	15	m2	m2	PROPN
ejpam-4392	41	16	t	t	PROPN
ejpam-4392	41	17	∗3	∗3	PROPN
ejpam-4392	41	18	t	t	NOUN
ejpam-4392	41	19	3	3	NUM
ejpam-4392	41	20	−	−	NOUN
ejpam-4392	41	21	2kt	2kt	NOUN
ejpam-4392	41	22	∗2	∗2	PROPN
ejpam-4392	41	23	t	t	PROPN
ejpam-4392	41	24	2	2	NUM
ejpam-4392	41	25	+	+	SYM
ejpam-4392	41	26	k2	k2	PROPN
ejpam-4392	41	27	t	t	PROPN
ejpam-4392	41	28	∗t	∗t	PROPN
ejpam-4392	41	29	≥	≥	NUM
ejpam-4392	41	30	0	0	NUM
ejpam-4392	41	31	∀k	∀k	NOUN
ejpam-4392	41	32	>	>	X
ejpam-4392	41	33	0	0	X
ejpam-4392	41	34	.	.	PUNCT
ejpam-4392	42	1	proof	proof	NOUN
ejpam-4392	42	2	.	.	PUNCT
ejpam-4392	43	1	since	since	SCONJ
ejpam-4392	43	2	t	t	PROPN
ejpam-4392	43	3	is	be	AUX
ejpam-4392	43	4	a	a	DET
ejpam-4392	43	5	m−quasi	m−quasi	NOUN
ejpam-4392	43	6	paranormal	paranormal	ADJ
ejpam-4392	43	7	operator	operator	NOUN
ejpam-4392	43	8	,	,	PUNCT
ejpam-4392	43	9	for	for	ADP
ejpam-4392	43	10	a	a	DET
ejpam-4392	43	11	fixed	fix	VERB
ejpam-4392	43	12	real	real	ADJ
ejpam-4392	43	13	positive	positive	ADJ
ejpam-4392	43	14	number	number	NOUN
ejpam-4392	43	15	m	m	NOUN
ejpam-4392	43	16	,	,	PUNCT
ejpam-4392	43	17	then	then	ADV
ejpam-4392	43	18	∥t	∥t	PRON
ejpam-4392	43	19	2x∥2	2x∥2	NOUN
ejpam-4392	43	20	≤	≤	NUM
ejpam-4392	43	21	m∥t	m∥t	VERB
ejpam-4392	43	22	3x∥	3x∥	NUM
ejpam-4392	43	23	·	·	PUNCT
ejpam-4392	43	24	∥tx∥	∥tx∥	ADV
ejpam-4392	43	25	,	,	PUNCT
ejpam-4392	43	26	∀x	∀x	PROPN
ejpam-4392	43	27	∈	∈	PROPN
ejpam-4392	43	28	h.	h.	NOUN
ejpam-4392	43	29	then	then	ADV
ejpam-4392	43	30	,	,	PUNCT
ejpam-4392	43	31	∥t	∥t	PROPN
ejpam-4392	43	32	2x∥2	2x∥2	NOUN
ejpam-4392	43	33	−m∥t	−m∥t	NOUN
ejpam-4392	43	34	3x∥	3x∥	NOUN
ejpam-4392	43	35	·	·	PUNCT
ejpam-4392	43	36	∥tx∥	∥tx∥	ADJ
ejpam-4392	43	37	≤	≤	NOUN
ejpam-4392	43	38	0	0	NUM
ejpam-4392	43	39	,	,	PUNCT
ejpam-4392	43	40	i.e.	i.e.	X
ejpam-4392	43	41	,	,	PUNCT
ejpam-4392	43	42	4(∥t	4(∥t	PROPN
ejpam-4392	43	43	2x∥2)2	2x∥2)2	PROPN
ejpam-4392	43	44	−	−	PROPN
ejpam-4392	43	45	4m2∥t	4m2∥t	PROPN
ejpam-4392	43	46	3x∥2	3x∥2	NUM
ejpam-4392	43	47	·	·	PUNCT
ejpam-4392	43	48	∥tx∥2	∥tx∥2	PUNCT
ejpam-4392	44	1	≤	≤	ADV
ejpam-4392	44	2	0	0	X
ejpam-4392	44	3	.	.	PUNCT
ejpam-4392	45	1	v.	v.	PROPN
ejpam-4392	45	2	r.	r.	PROPN
ejpam-4392	45	3	hamiti	hamiti	PROPN
ejpam-4392	45	4	,	,	PUNCT
ejpam-4392	45	5	q.	q.	PROPN
ejpam-4392	45	6	d.	d.	PROPN
ejpam-4392	45	7	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	45	8	/	/	SYM
ejpam-4392	45	9	eur	eur	PROPN
ejpam-4392	45	10	.	.	PUNCT
ejpam-4392	46	1	j.	j.	PROPN
ejpam-4392	46	2	pure	pure	PROPN
ejpam-4392	46	3	appl	appl	PROPN
ejpam-4392	46	4	.	.	PROPN
ejpam-4392	46	5	math	math	PROPN
ejpam-4392	46	6	,	,	PUNCT
ejpam-4392	46	7	15	15	NUM
ejpam-4392	46	8	(	(	PUNCT
ejpam-4392	46	9	3	3	NUM
ejpam-4392	46	10	)	)	PUNCT
ejpam-4392	46	11	(	(	PUNCT
ejpam-4392	46	12	2022	2022	NUM
ejpam-4392	46	13	)	)	PUNCT
ejpam-4392	46	14	,	,	PUNCT
ejpam-4392	46	15	830	830	NUM
ejpam-4392	46	16	-	-	SYM
ejpam-4392	46	17	840	840	NUM
ejpam-4392	46	18	833	833	NUM
ejpam-4392	46	19	by	by	ADP
ejpam-4392	46	20	elementary	elementary	ADJ
ejpam-4392	46	21	properties	property	NOUN
ejpam-4392	46	22	of	of	ADP
ejpam-4392	46	23	real	real	ADJ
ejpam-4392	46	24	quadratic	quadratic	ADJ
ejpam-4392	46	25	forms	form	NOUN
ejpam-4392	47	1	,	,	PUNCT
ejpam-4392	47	2	this	this	PRON
ejpam-4392	47	3	gives	give	VERB
ejpam-4392	47	4	k2∥tx∥2	k2∥tx∥2	NOUN
ejpam-4392	47	5	−	−	PROPN
ejpam-4392	47	6	2k∥t	2k∥t	NUM
ejpam-4392	47	7	2x∥2	2x∥2	NUM
ejpam-4392	48	1	+	+	NOUN
ejpam-4392	48	2	m2∥t	m2∥t	NOUN
ejpam-4392	48	3	3x∥2	3x∥2	NUM
ejpam-4392	48	4	≥	≥	NOUN
ejpam-4392	48	5	0,∀x	0,∀x	NUM
ejpam-4392	49	1	∈	∈	PRON
ejpam-4392	49	2	h,∀k	h,∀k	X
ejpam-4392	49	3	>	>	PUNCT
ejpam-4392	49	4	0	0	NUM
ejpam-4392	49	5	;	;	PUNCT
ejpam-4392	49	6	k2⟨t	k2⟨t	PROPN
ejpam-4392	49	7	∗tx|x⟩	∗tx|x⟩	PUNCT
ejpam-4392	49	8	−	−	PROPN
ejpam-4392	49	9	2k⟨t	2k⟨t	NUM
ejpam-4392	49	10	∗2	∗2	NOUN
ejpam-4392	49	11	t	t	NOUN
ejpam-4392	49	12	2x|x⟩+m2⟨t	2x|x⟩+m2⟨t	NUM
ejpam-4392	49	13	∗3	∗3	PROPN
ejpam-4392	49	14	t	t	NOUN
ejpam-4392	49	15	3x|x⟩	3x|x⟩	NUM
ejpam-4392	49	16	≥	≥	NOUN
ejpam-4392	49	17	0	0	NUM
ejpam-4392	49	18	,	,	PUNCT
ejpam-4392	49	19	∀x	∀x	VERB
ejpam-4392	49	20	∈	∈	PROPN
ejpam-4392	49	21	h,∀k	h,∀k	X
ejpam-4392	49	22	>	>	X
ejpam-4392	49	23	0	0	NUM
ejpam-4392	49	24	;	;	PUNCT
ejpam-4392	49	25	⟨(m2	⟨(m2	PROPN
ejpam-4392	49	26	t	t	PROPN
ejpam-4392	50	1	∗3	∗3	PROPN
ejpam-4392	50	2	t	t	NOUN
ejpam-4392	50	3	3	3	NUM
ejpam-4392	50	4	−	−	NOUN
ejpam-4392	50	5	2kt	2kt	NOUN
ejpam-4392	50	6	∗2	∗2	PROPN
ejpam-4392	50	7	t	t	PROPN
ejpam-4392	50	8	2	2	NUM
ejpam-4392	50	9	+	+	SYM
ejpam-4392	50	10	k2	k2	PROPN
ejpam-4392	50	11	t	t	PROPN
ejpam-4392	50	12	∗t	∗t	PROPN
ejpam-4392	50	13	)	)	PUNCT
ejpam-4392	51	1	x|x⟩	x|x⟩	PROPN
ejpam-4392	51	2	≥	≥	NOUN
ejpam-4392	51	3	0	0	NUM
ejpam-4392	51	4	,	,	PUNCT
ejpam-4392	51	5	∀x	∀x	VERB
ejpam-4392	51	6	∈	∈	PROPN
ejpam-4392	51	7	h,∀k	h,∀k	X
ejpam-4392	51	8	>	>	X
ejpam-4392	51	9	0	0	X
ejpam-4392	51	10	.	.	PUNCT
ejpam-4392	52	1	hence	hence	ADV
ejpam-4392	52	2	,	,	PUNCT
ejpam-4392	52	3	m2	m2	PROPN
ejpam-4392	52	4	t	t	PROPN
ejpam-4392	52	5	∗3	∗3	PROPN
ejpam-4392	52	6	t	t	NOUN
ejpam-4392	52	7	3	3	NUM
ejpam-4392	52	8	−	−	NOUN
ejpam-4392	52	9	2kt	2kt	NOUN
ejpam-4392	52	10	∗2	∗2	PROPN
ejpam-4392	52	11	t	t	PROPN
ejpam-4392	52	12	2	2	NUM
ejpam-4392	52	13	+	+	SYM
ejpam-4392	52	14	k2	k2	PROPN
ejpam-4392	52	15	t	t	PROPN
ejpam-4392	52	16	∗t	∗t	PROPN
ejpam-4392	52	17	≥	≥	NUM
ejpam-4392	52	18	0,∀x	0,∀x	PUNCT
ejpam-4392	52	19	∈	∈	PROPN
ejpam-4392	52	20	h,∀k	h,∀k	X
ejpam-4392	52	21	>	>	X
ejpam-4392	52	22	0	0	X
ejpam-4392	52	23	.	.	PUNCT
ejpam-4392	53	1	the	the	DET
ejpam-4392	53	2	reverse	reverse	ADJ
ejpam-4392	53	3	implication	implication	NOUN
ejpam-4392	53	4	follows	follow	VERB
ejpam-4392	53	5	by	by	ADP
ejpam-4392	53	6	retracing	retrace	VERB
ejpam-4392	53	7	the	the	DET
ejpam-4392	53	8	steps	step	NOUN
ejpam-4392	53	9	back	back	ADV
ejpam-4392	53	10	.	.	PUNCT
ejpam-4392	54	1	in	in	ADP
ejpam-4392	54	2	following	follow	VERB
ejpam-4392	54	3	we	we	PRON
ejpam-4392	54	4	give	give	VERB
ejpam-4392	54	5	an	an	DET
ejpam-4392	54	6	example	example	NOUN
ejpam-4392	54	7	of	of	ADP
ejpam-4392	54	8	m−quasi	m−quasi	NOUN
ejpam-4392	54	9	paranormal	paranormal	ADJ
ejpam-4392	54	10	operator	operator	NOUN
ejpam-4392	54	11	.	.	PUNCT
ejpam-4392	54	12	example	example	NOUN
ejpam-4392	55	1	1	1	NUM
ejpam-4392	55	2	.	.	PUNCT
ejpam-4392	56	1	let	let	VERB
ejpam-4392	56	2	t	t	NOUN
ejpam-4392	56	3	=	=	PUNCT
ejpam-4392	56	4	(	(	PUNCT
ejpam-4392	56	5	1	1	NUM
ejpam-4392	56	6	0	0	NUM
ejpam-4392	56	7	1	1	NUM
ejpam-4392	56	8	0	0	NUM
ejpam-4392	56	9	)	)	PUNCT
ejpam-4392	56	10	∈	∈	PROPN
ejpam-4392	56	11	l(l2	l(l2	PROPN
ejpam-4392	56	12	⊕	⊕	PROPN
ejpam-4392	56	13	l2	l2	PROPN
ejpam-4392	56	14	)	)	PUNCT
ejpam-4392	56	15	.	.	PUNCT
ejpam-4392	57	1	then	then	ADV
ejpam-4392	57	2	t	t	PROPN
ejpam-4392	57	3	is	be	AUX
ejpam-4392	57	4	m−quasi	m−quasi	DET
ejpam-4392	57	5	paranormal	paranormal	ADJ
ejpam-4392	57	6	operator	operator	NOUN
ejpam-4392	57	7	∀m	∀m	PROPN
ejpam-4392	57	8	≥	≥	NUM
ejpam-4392	57	9	1	1	NUM
ejpam-4392	57	10	.	.	PUNCT
ejpam-4392	58	1	by	by	ADP
ejpam-4392	58	2	simple	simple	ADJ
ejpam-4392	58	3	calculation	calculation	NOUN
ejpam-4392	58	4	we	we	PRON
ejpam-4392	58	5	have	have	VERB
ejpam-4392	58	6	that	that	PRON
ejpam-4392	58	7	:	:	PUNCT
ejpam-4392	58	8	t	t	NOUN
ejpam-4392	58	9	∗	∗	NOUN
ejpam-4392	58	10	=	=	PUNCT
ejpam-4392	58	11	(	(	PUNCT
ejpam-4392	58	12	1	1	NUM
ejpam-4392	58	13	1	1	NUM
ejpam-4392	58	14	0	0	NUM
ejpam-4392	58	15	0	0	NUM
ejpam-4392	58	16	)	)	PUNCT
ejpam-4392	58	17	,	,	PUNCT
ejpam-4392	58	18	t	t	NOUN
ejpam-4392	58	19	∗2	∗2	PROPN
ejpam-4392	58	20	=	=	SYM
ejpam-4392	59	1	t	t	PROPN
ejpam-4392	59	2	∗3	∗3	PROPN
ejpam-4392	60	1	=	=	PRON
ejpam-4392	60	2	(	(	PUNCT
ejpam-4392	60	3	1	1	NUM
ejpam-4392	60	4	1	1	NUM
ejpam-4392	60	5	0	0	NUM
ejpam-4392	60	6	0	0	NUM
ejpam-4392	60	7	)	)	PUNCT
ejpam-4392	60	8	,	,	PUNCT
ejpam-4392	60	9	t	t	PROPN
ejpam-4392	60	10	2	2	NUM
ejpam-4392	60	11	=	=	SYM
ejpam-4392	60	12	t	t	NOUN
ejpam-4392	60	13	3	3	NUM
ejpam-4392	60	14	=	=	SYM
ejpam-4392	60	15	(	(	PUNCT
ejpam-4392	60	16	1	1	NUM
ejpam-4392	60	17	0	0	NUM
ejpam-4392	60	18	1	1	NUM
ejpam-4392	60	19	0	0	NUM
ejpam-4392	60	20	)	)	PUNCT
ejpam-4392	60	21	,	,	PUNCT
ejpam-4392	60	22	t	t	X
ejpam-4392	60	23	∗t	∗t	PROPN
ejpam-4392	60	24	=	=	SYM
ejpam-4392	60	25	t	t	PROPN
ejpam-4392	60	26	∗2	∗2	PROPN
ejpam-4392	60	27	t	t	PROPN
ejpam-4392	60	28	2	2	NUM
ejpam-4392	60	29	=	=	SYM
ejpam-4392	60	30	t	t	PROPN
ejpam-4392	60	31	∗3	∗3	SYM
ejpam-4392	60	32	t	t	NOUN
ejpam-4392	60	33	3	3	NUM
ejpam-4392	60	34	=	=	SYM
ejpam-4392	60	35	(	(	PUNCT
ejpam-4392	60	36	2	2	NUM
ejpam-4392	60	37	0	0	NUM
ejpam-4392	60	38	0	0	NUM
ejpam-4392	60	39	0	0	NUM
ejpam-4392	60	40	)	)	PUNCT
ejpam-4392	61	1	m2	m2	PROPN
ejpam-4392	61	2	t	t	PROPN
ejpam-4392	61	3	∗3	∗3	PROPN
ejpam-4392	61	4	t	t	NOUN
ejpam-4392	61	5	3	3	NUM
ejpam-4392	61	6	−	−	NOUN
ejpam-4392	61	7	2kt	2kt	NOUN
ejpam-4392	61	8	∗2	∗2	PROPN
ejpam-4392	61	9	t	t	PROPN
ejpam-4392	61	10	2	2	NUM
ejpam-4392	61	11	+	+	SYM
ejpam-4392	61	12	k2	k2	PROPN
ejpam-4392	61	13	t	t	PROPN
ejpam-4392	61	14	∗t	∗t	PROPN
ejpam-4392	61	15	=	=	SYM
ejpam-4392	61	16	(	(	PUNCT
ejpam-4392	61	17	2m2	2m2	NUM
ejpam-4392	61	18	−	−	NUM
ejpam-4392	61	19	4k	4k	NOUN
ejpam-4392	61	20	+	+	CCONJ
ejpam-4392	61	21	2k2	2k2	NUM
ejpam-4392	61	22	0	0	NUM
ejpam-4392	61	23	0	0	NUM
ejpam-4392	61	24	0	0	NUM
ejpam-4392	61	25	)	)	PUNCT
ejpam-4392	62	1	=	=	PUNCT
ejpam-4392	62	2	(	(	PUNCT
ejpam-4392	62	3	2[(1−	2[(1−	NUM
ejpam-4392	62	4	k)2	k)2	PROPN
ejpam-4392	62	5	+	+	PROPN
ejpam-4392	62	6	m2	m2	PROPN
ejpam-4392	62	7	−	−	PROPN
ejpam-4392	62	8	1	1	NUM
ejpam-4392	62	9	]	]	SYM
ejpam-4392	62	10	0	0	NUM
ejpam-4392	62	11	0	0	NUM
ejpam-4392	62	12	0	0	NUM
ejpam-4392	62	13	)	)	PUNCT
ejpam-4392	62	14	.	.	PUNCT
ejpam-4392	63	1	therefore	therefore	ADV
ejpam-4392	63	2	t	t	PROPN
ejpam-4392	63	3	is	be	AUX
ejpam-4392	63	4	m−quasi	m−quasi	DET
ejpam-4392	63	5	paranormal	paranormal	ADJ
ejpam-4392	63	6	operator	operator	NOUN
ejpam-4392	63	7	∀m	∀m	PROPN
ejpam-4392	63	8	≥	≥	NUM
ejpam-4392	63	9	1	1	NUM
ejpam-4392	63	10	,	,	PUNCT
ejpam-4392	63	11	∀k	∀k	NOUN
ejpam-4392	63	12	>	>	X
ejpam-4392	63	13	0	0	NUM
ejpam-4392	63	14	.	.	PUNCT
ejpam-4392	64	1	the	the	DET
ejpam-4392	64	2	next	next	ADJ
ejpam-4392	64	3	proposition	proposition	NOUN
ejpam-4392	64	4	give	give	VERB
ejpam-4392	64	5	the	the	DET
ejpam-4392	64	6	necessary	necessary	ADJ
ejpam-4392	64	7	and	and	CCONJ
ejpam-4392	64	8	sufficient	sufficient	ADJ
ejpam-4392	64	9	conditions	condition	NOUN
ejpam-4392	64	10	for	for	ADP
ejpam-4392	64	11	a	a	DET
ejpam-4392	64	12	weighted	weight	VERB
ejpam-4392	64	13	shift	shift	NOUN
ejpam-4392	64	14	operator	operator	NOUN
ejpam-4392	64	15	t	t	PROPN
ejpam-4392	64	16	with	with	ADP
ejpam-4392	64	17	decreasing	decrease	VERB
ejpam-4392	64	18	weighted	weight	VERB
ejpam-4392	64	19	sequence	sequence	NOUN
ejpam-4392	64	20	(	(	PUNCT
ejpam-4392	64	21	αn	αn	NOUN
ejpam-4392	64	22	)	)	PUNCT
ejpam-4392	64	23	to	to	PART
ejpam-4392	64	24	be	be	AUX
ejpam-4392	64	25	a	a	DET
ejpam-4392	64	26	m−quasi	m−quasi	NOUN
ejpam-4392	64	27	paranormal	paranormal	ADJ
ejpam-4392	64	28	operator	operator	NOUN
ejpam-4392	64	29	.	.	PUNCT
ejpam-4392	65	1	proposition	proposition	NOUN
ejpam-4392	65	2	3	3	NUM
ejpam-4392	65	3	.	.	PUNCT
ejpam-4392	66	1	let	let	VERB
ejpam-4392	66	2	t	t	PROPN
ejpam-4392	66	3	be	be	AUX
ejpam-4392	66	4	a	a	DET
ejpam-4392	66	5	weighted	weight	VERB
ejpam-4392	66	6	shift	shift	NOUN
ejpam-4392	66	7	operator	operator	NOUN
ejpam-4392	66	8	with	with	ADP
ejpam-4392	66	9	decreasing	decrease	VERB
ejpam-4392	66	10	weighted	weight	VERB
ejpam-4392	66	11	sequence	sequence	NOUN
ejpam-4392	66	12	(	(	PUNCT
ejpam-4392	66	13	αn	αn	NOUN
ejpam-4392	66	14	)	)	PUNCT
ejpam-4392	66	15	.	.	PUNCT
ejpam-4392	67	1	then	then	ADV
ejpam-4392	67	2	t	t	PROPN
ejpam-4392	67	3	is	be	AUX
ejpam-4392	67	4	a	a	DET
ejpam-4392	67	5	m−quasi	m−quasi	NOUN
ejpam-4392	67	6	paranormal	paranormal	ADJ
ejpam-4392	67	7	operator	operator	NOUN
ejpam-4392	67	8	if	if	SCONJ
ejpam-4392	67	9	and	and	CCONJ
ejpam-4392	67	10	only	only	ADV
ejpam-4392	68	1	if	if	SCONJ
ejpam-4392	68	2	|αn+1|	|αn+1|	PROPN
ejpam-4392	68	3	≤	≤	PROPN
ejpam-4392	68	4	m	m	VERB
ejpam-4392	68	5	|αn+2|	|αn+2|	NOUN
ejpam-4392	68	6	∀n	∀n	CCONJ
ejpam-4392	68	7	∈	∈	PROPN
ejpam-4392	68	8	n.	n.	NOUN
ejpam-4392	68	9	v.	v.	PROPN
ejpam-4392	68	10	r.	r.	PROPN
ejpam-4392	68	11	hamiti	hamiti	PROPN
ejpam-4392	68	12	,	,	PUNCT
ejpam-4392	68	13	q.	q.	PROPN
ejpam-4392	68	14	d.	d.	PROPN
ejpam-4392	68	15	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	68	16	/	/	SYM
ejpam-4392	68	17	eur	eur	PROPN
ejpam-4392	68	18	.	.	PUNCT
ejpam-4392	69	1	j.	j.	PROPN
ejpam-4392	69	2	pure	pure	PROPN
ejpam-4392	69	3	appl	appl	PROPN
ejpam-4392	69	4	.	.	PROPN
ejpam-4392	69	5	math	math	PROPN
ejpam-4392	69	6	,	,	PUNCT
ejpam-4392	69	7	15	15	NUM
ejpam-4392	69	8	(	(	PUNCT
ejpam-4392	69	9	3	3	NUM
ejpam-4392	69	10	)	)	PUNCT
ejpam-4392	69	11	(	(	PUNCT
ejpam-4392	69	12	2022	2022	NUM
ejpam-4392	69	13	)	)	PUNCT
ejpam-4392	69	14	,	,	PUNCT
ejpam-4392	69	15	830	830	NUM
ejpam-4392	69	16	-	-	SYM
ejpam-4392	69	17	840	840	NUM
ejpam-4392	69	18	834	834	NUM
ejpam-4392	69	19	proof	proof	NOUN
ejpam-4392	69	20	.	.	PUNCT
ejpam-4392	70	1	since	since	SCONJ
ejpam-4392	70	2	t	t	PROPN
ejpam-4392	70	3	is	be	AUX
ejpam-4392	70	4	a	a	DET
ejpam-4392	70	5	weighted	weighted	ADJ
ejpam-4392	70	6	shift	shift	NOUN
ejpam-4392	70	7	,	,	PUNCT
ejpam-4392	70	8	its	its	PRON
ejpam-4392	70	9	adjoint	adjoint	NOUN
ejpam-4392	70	10	t	t	PROPN
ejpam-4392	70	11	∗	∗	NOUN
ejpam-4392	70	12	is	be	AUX
ejpam-4392	70	13	also	also	ADV
ejpam-4392	70	14	a	a	DET
ejpam-4392	70	15	weighted	weighted	ADJ
ejpam-4392	70	16	shift	shift	NOUN
ejpam-4392	70	17	and	and	CCONJ
ejpam-4392	70	18	defined	define	VERB
ejpam-4392	70	19	by	by	ADP
ejpam-4392	70	20	t	t	PROPN
ejpam-4392	70	21	(	(	PUNCT
ejpam-4392	70	22	en	en	X
ejpam-4392	70	23	)	)	PUNCT
ejpam-4392	70	24	=	=	PUNCT
ejpam-4392	71	1	|αn|en+1	|αn|en+1	VERB
ejpam-4392	71	2	we	we	PRON
ejpam-4392	71	3	have	have	VERB
ejpam-4392	71	4	:	:	PUNCT
ejpam-4392	71	5	t	t	PROPN
ejpam-4392	71	6	∗(en	∗(en	NOUN
ejpam-4392	71	7	)	)	PUNCT
ejpam-4392	71	8	=	=	SYM
ejpam-4392	71	9	|αn−1|en−1	|αn−1|en−1	PROPN
ejpam-4392	71	10	,	,	PUNCT
ejpam-4392	71	11	(	(	PUNCT
ejpam-4392	71	12	t	t	NOUN
ejpam-4392	71	13	∗t	∗t	PROPN
ejpam-4392	71	14	)	)	PUNCT
ejpam-4392	71	15	(	(	PUNCT
ejpam-4392	71	16	en	en	X
ejpam-4392	71	17	)	)	PUNCT
ejpam-4392	71	18	=	=	SYM
ejpam-4392	71	19	|αn|2en	|αn|2en	PROPN
ejpam-4392	71	20	,	,	PUNCT
ejpam-4392	71	21	(	(	PUNCT
ejpam-4392	71	22	t	t	PROPN
ejpam-4392	71	23	∗2	∗2	PROPN
ejpam-4392	71	24	t	t	PROPN
ejpam-4392	71	25	2)(en	2)(en	NUM
ejpam-4392	71	26	)	)	PUNCT
ejpam-4392	71	27	=	=	PUNCT
ejpam-4392	71	28	|αn|2|αn+1|2en	|αn|2|αn+1|2en	NOUN
ejpam-4392	71	29	,	,	PUNCT
ejpam-4392	71	30	(	(	PUNCT
ejpam-4392	71	31	t	t	NOUN
ejpam-4392	71	32	∗3	∗3	PROPN
ejpam-4392	71	33	t	t	NOUN
ejpam-4392	71	34	3)(en	3)(en	NUM
ejpam-4392	71	35	)	)	PUNCT
ejpam-4392	71	36	=	=	PUNCT
ejpam-4392	72	1	|αn|2|αn+1|2|αn+2|2en	|αn|2|αn+1|2|αn+2|2en	PROPN
ejpam-4392	72	2	.	.	PUNCT
ejpam-4392	73	1	now	now	ADV
ejpam-4392	73	2	,	,	PUNCT
ejpam-4392	73	3	since	since	SCONJ
ejpam-4392	73	4	t	t	PROPN
ejpam-4392	73	5	is	be	AUX
ejpam-4392	73	6	a	a	DET
ejpam-4392	73	7	m−quasi	m−quasi	NOUN
ejpam-4392	73	8	paranormal	paranormal	ADJ
ejpam-4392	73	9	operator	operator	NOUN
ejpam-4392	73	10	then	then	ADV
ejpam-4392	73	11	,	,	PUNCT
ejpam-4392	73	12	m2	m2	PROPN
ejpam-4392	73	13	t	t	PROPN
ejpam-4392	73	14	∗3	∗3	PROPN
ejpam-4392	73	15	t	t	NOUN
ejpam-4392	73	16	3	3	NUM
ejpam-4392	73	17	−	−	NOUN
ejpam-4392	73	18	2kt	2kt	NOUN
ejpam-4392	73	19	∗2	∗2	PROPN
ejpam-4392	73	20	t	t	PROPN
ejpam-4392	73	21	2	2	NUM
ejpam-4392	73	22	+	+	SYM
ejpam-4392	73	23	k2	k2	PROPN
ejpam-4392	73	24	t	t	PROPN
ejpam-4392	73	25	∗t	∗t	PROPN
ejpam-4392	73	26	≥	≥	NUM
ejpam-4392	73	27	0	0	NUM
ejpam-4392	73	28	,	,	PUNCT
ejpam-4392	73	29	∀k	∀k	NOUN
ejpam-4392	73	30	>	>	X
ejpam-4392	73	31	0	0	PUNCT
ejpam-4392	74	1	⇔m2|αn|2|αn+1|2|αn+2|2	⇔m2|αn|2|αn+1|2|αn+2|2	CCONJ
ejpam-4392	74	2	−	−	X
ejpam-4392	75	1	2k|αn|2|αn+1|2	2k|αn|2|αn+1|2	NUM
ejpam-4392	75	2	+	+	CCONJ
ejpam-4392	75	3	k2|αn|2	k2|αn|2	ADJ
ejpam-4392	75	4	≥	≥	NOUN
ejpam-4392	75	5	0,∀k	0,∀k	PUNCT
ejpam-4392	75	6	>	>	X
ejpam-4392	75	7	0	0	PUNCT
ejpam-4392	75	8	⇔m2|αn+1|2|αn+2|2	⇔m2|αn+1|2|αn+2|2	NUM
ejpam-4392	75	9	−	−	PROPN
ejpam-4392	75	10	2k|αn+1|2	2k|αn+1|2	NUM
ejpam-4392	76	1	+	+	CCONJ
ejpam-4392	76	2	k2	k2	ADJ
ejpam-4392	76	3	≥	≥	NOUN
ejpam-4392	76	4	0	0	NUM
ejpam-4392	76	5	,	,	PUNCT
ejpam-4392	76	6	∀k	∀k	NOUN
ejpam-4392	76	7	>	>	X
ejpam-4392	76	8	0	0	NUM
ejpam-4392	76	9	.	.	PUNCT
ejpam-4392	76	10	by	by	ADP
ejpam-4392	76	11	elementary	elementary	ADJ
ejpam-4392	76	12	properties	property	NOUN
ejpam-4392	76	13	of	of	ADP
ejpam-4392	76	14	real	real	ADJ
ejpam-4392	76	15	quadratic	quadratic	ADJ
ejpam-4392	76	16	forms	form	NOUN
ejpam-4392	76	17	,	,	PUNCT
ejpam-4392	76	18	this	this	PRON
ejpam-4392	76	19	gives	give	VERB
ejpam-4392	76	20	4|αn+1|4	4|αn+1|4	NUM
ejpam-4392	76	21	−	−	NUM
ejpam-4392	76	22	4m2|αn+1|2|αn+2|2	4m2|αn+1|2|αn+2|2	NUM
ejpam-4392	76	23	≤	≤	NOUN
ejpam-4392	76	24	0	0	NUM
ejpam-4392	76	25	|αn+1|	|αn+1|	PROPN
ejpam-4392	76	26	≤	≤	NUM
ejpam-4392	76	27	m	m	PROPN
ejpam-4392	76	28	|αn+2|	|αn+2|	NOUN
ejpam-4392	76	29	example	example	NOUN
ejpam-4392	76	30	2	2	NUM
ejpam-4392	76	31	.	.	X
ejpam-4392	77	1	a	a	DET
ejpam-4392	77	2	weighted	weight	VERB
ejpam-4392	77	3	shift	shift	NOUN
ejpam-4392	77	4	operator	operator	NOUN
ejpam-4392	77	5	t	t	PROPN
ejpam-4392	77	6	with	with	ADP
ejpam-4392	77	7	decreasing	decrease	VERB
ejpam-4392	77	8	weighted	weight	VERB
ejpam-4392	77	9	sequence	sequence	NOUN
ejpam-4392	77	10	αn	αn	NOUN
ejpam-4392	77	11	=	=	SYM
ejpam-4392	77	12	2n	2n	NUM
ejpam-4392	77	13	,	,	PUNCT
ejpam-4392	77	14	n	n	PROPN
ejpam-4392	77	15	∈	∈	NOUN
ejpam-4392	78	1	n	n	VERB
ejpam-4392	78	2	is	be	AUX
ejpam-4392	78	3	a	a	DET
ejpam-4392	78	4	m−quasi	m−quasi	NOUN
ejpam-4392	78	5	paranormal	paranormal	ADJ
ejpam-4392	78	6	operator	operator	NOUN
ejpam-4392	78	7	for	for	ADP
ejpam-4392	78	8	every	every	DET
ejpam-4392	78	9	fixed	fix	VERB
ejpam-4392	78	10	real	real	ADJ
ejpam-4392	78	11	number	number	NOUN
ejpam-4392	78	12	m	m	PROPN
ejpam-4392	78	13	≥	≥	NOUN
ejpam-4392	78	14	1	1	NUM
ejpam-4392	78	15	2	2	NUM
ejpam-4392	78	16	(	(	PUNCT
ejpam-4392	78	17	it	it	PRON
ejpam-4392	78	18	is	be	AUX
ejpam-4392	78	19	clear	clear	ADJ
ejpam-4392	78	20	from	from	ADP
ejpam-4392	78	21	proposition	proposition	NOUN
ejpam-4392	78	22	3	3	NUM
ejpam-4392	78	23	)	)	PUNCT
ejpam-4392	78	24	.	.	PUNCT
ejpam-4392	79	1	proposition	proposition	NOUN
ejpam-4392	79	2	4	4	NUM
ejpam-4392	79	3	.	.	PUNCT
ejpam-4392	80	1	let	let	VERB
ejpam-4392	80	2	t	t	PROPN
ejpam-4392	80	3	be	be	AUX
ejpam-4392	80	4	a	a	DET
ejpam-4392	80	5	non	non	X
ejpam-4392	80	6	singular	singular	NOUN
ejpam-4392	80	7	weighted	weight	VERB
ejpam-4392	80	8	shift	shift	NOUN
ejpam-4392	80	9	operator	operator	NOUN
ejpam-4392	80	10	with	with	ADP
ejpam-4392	80	11	decreasing	decrease	VERB
ejpam-4392	80	12	weighted	weight	VERB
ejpam-4392	80	13	sequence	sequence	NOUN
ejpam-4392	80	14	(	(	PUNCT
ejpam-4392	80	15	αn	αn	NOUN
ejpam-4392	80	16	)	)	PUNCT
ejpam-4392	80	17	.	.	PUNCT
ejpam-4392	81	1	then	then	ADV
ejpam-4392	81	2	t−1	t−1	PROPN
ejpam-4392	81	3	is	be	AUX
ejpam-4392	81	4	a	a	DET
ejpam-4392	81	5	m−quasi	m−quasi	NOUN
ejpam-4392	81	6	paranormal	paranormal	ADJ
ejpam-4392	81	7	operator	operator	NOUN
ejpam-4392	81	8	if	if	SCONJ
ejpam-4392	81	9	and	and	CCONJ
ejpam-4392	81	10	only	only	ADV
ejpam-4392	81	11	if	if	SCONJ
ejpam-4392	81	12	|αn−3|	|αn−3|	NOUN
ejpam-4392	81	13	≤	≤	NOUN
ejpam-4392	81	14	m	m	VERB
ejpam-4392	81	15	|αn−2|	|αn−2|	PROPN
ejpam-4392	81	16	∀n	∀n	NUM
ejpam-4392	81	17	≥	≥	NOUN
ejpam-4392	81	18	3	3	NUM
ejpam-4392	81	19	.	.	PUNCT
ejpam-4392	82	1	in	in	ADP
ejpam-4392	82	2	the	the	DET
ejpam-4392	82	3	next	next	ADJ
ejpam-4392	82	4	propositions	proposition	NOUN
ejpam-4392	82	5	we	we	PRON
ejpam-4392	82	6	will	will	AUX
ejpam-4392	82	7	prove	prove	VERB
ejpam-4392	82	8	some	some	DET
ejpam-4392	82	9	properties	property	NOUN
ejpam-4392	82	10	of	of	ADP
ejpam-4392	82	11	m−quasi	m−quasi	NOUN
ejpam-4392	82	12	paranormal	paranormal	ADJ
ejpam-4392	82	13	operators	operator	NOUN
ejpam-4392	82	14	.	.	PUNCT
ejpam-4392	83	1	proposition	proposition	NOUN
ejpam-4392	83	2	5	5	NUM
ejpam-4392	83	3	.	.	PUNCT
ejpam-4392	84	1	let	let	VERB
ejpam-4392	84	2	t	t	PROPN
ejpam-4392	84	3	∈	∈	PROPN
ejpam-4392	84	4	l(h	l(h	PROPN
ejpam-4392	84	5	)	)	PUNCT
ejpam-4392	84	6	be	be	VERB
ejpam-4392	84	7	a	a	DET
ejpam-4392	84	8	m−quasi	m−quasi	NOUN
ejpam-4392	84	9	paranormal	paranormal	ADJ
ejpam-4392	84	10	operator	operator	NOUN
ejpam-4392	84	11	.	.	PUNCT
ejpam-4392	85	1	a	a	DET
ejpam-4392	85	2	)	)	PUNCT
ejpam-4392	85	3	if	if	SCONJ
ejpam-4392	85	4	t	t	PROPN
ejpam-4392	85	5	double	double	ADJ
ejpam-4392	85	6	commutes	commute	NOUN
ejpam-4392	85	7	with	with	ADP
ejpam-4392	85	8	an	an	DET
ejpam-4392	85	9	isometric	isometric	ADJ
ejpam-4392	85	10	operator	operator	NOUN
ejpam-4392	85	11	s	s	PART
ejpam-4392	85	12	,	,	PUNCT
ejpam-4392	85	13	then	then	ADV
ejpam-4392	85	14	ts	ts	PROPN
ejpam-4392	85	15	is	be	AUX
ejpam-4392	85	16	a	a	DET
ejpam-4392	85	17	m−quasi	m−quasi	NOUN
ejpam-4392	85	18	paranormal	paranormal	ADJ
ejpam-4392	85	19	operator	operator	NOUN
ejpam-4392	85	20	.	.	PUNCT
ejpam-4392	86	1	b	b	X
ejpam-4392	86	2	)	)	PUNCT
ejpam-4392	86	3	if	if	SCONJ
ejpam-4392	86	4	s	s	NOUN
ejpam-4392	86	5	is	be	AUX
ejpam-4392	86	6	unitarily	unitarily	ADV
ejpam-4392	86	7	equivalent	equivalent	ADJ
ejpam-4392	86	8	to	to	PART
ejpam-4392	86	9	operator	operator	VERB
ejpam-4392	86	10	t	t	PROPN
ejpam-4392	86	11	,	,	PUNCT
ejpam-4392	86	12	then	then	ADV
ejpam-4392	86	13	s	s	VERB
ejpam-4392	86	14	is	be	AUX
ejpam-4392	86	15	a	a	DET
ejpam-4392	86	16	m−quasi	m−quasi	NOUN
ejpam-4392	86	17	paranormal	paranormal	ADJ
ejpam-4392	86	18	operator	operator	NOUN
ejpam-4392	86	19	.	.	PUNCT
ejpam-4392	87	1	c	c	X
ejpam-4392	87	2	)	)	PUNCT
ejpam-4392	87	3	if	if	SCONJ
ejpam-4392	87	4	a	a	PRON
ejpam-4392	87	5	is	be	AUX
ejpam-4392	87	6	a	a	DET
ejpam-4392	87	7	closed	closed	ADJ
ejpam-4392	87	8	t	t	NOUN
ejpam-4392	87	9	invariant	invariant	ADJ
ejpam-4392	87	10	subset	subset	NOUN
ejpam-4392	87	11	of	of	ADP
ejpam-4392	87	12	h	h	NOUN
ejpam-4392	87	13	,	,	PUNCT
ejpam-4392	87	14	then	then	ADV
ejpam-4392	87	15	,	,	PUNCT
ejpam-4392	87	16	the	the	DET
ejpam-4392	87	17	restriction	restriction	NOUN
ejpam-4392	87	18	t|a	t|a	VERB
ejpam-4392	87	19	is	be	AUX
ejpam-4392	87	20	a	a	DET
ejpam-4392	87	21	m−quasi	m−quasi	NOUN
ejpam-4392	87	22	paranormal	paranormal	ADJ
ejpam-4392	87	23	operator	operator	NOUN
ejpam-4392	87	24	.	.	PUNCT
ejpam-4392	88	1	v.	v.	PROPN
ejpam-4392	88	2	r.	r.	PROPN
ejpam-4392	88	3	hamiti	hamiti	PROPN
ejpam-4392	88	4	,	,	PUNCT
ejpam-4392	88	5	q.	q.	PROPN
ejpam-4392	88	6	d.	d.	PROPN
ejpam-4392	88	7	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	88	8	/	/	SYM
ejpam-4392	88	9	eur	eur	PROPN
ejpam-4392	88	10	.	.	PUNCT
ejpam-4392	89	1	j.	j.	PROPN
ejpam-4392	89	2	pure	pure	PROPN
ejpam-4392	89	3	appl	appl	PROPN
ejpam-4392	89	4	.	.	PROPN
ejpam-4392	89	5	math	math	PROPN
ejpam-4392	89	6	,	,	PUNCT
ejpam-4392	89	7	15	15	NUM
ejpam-4392	89	8	(	(	PUNCT
ejpam-4392	89	9	3	3	NUM
ejpam-4392	89	10	)	)	PUNCT
ejpam-4392	89	11	(	(	PUNCT
ejpam-4392	89	12	2022	2022	NUM
ejpam-4392	89	13	)	)	PUNCT
ejpam-4392	89	14	,	,	PUNCT
ejpam-4392	89	15	830	830	NUM
ejpam-4392	89	16	-	-	SYM
ejpam-4392	89	17	840	840	NUM
ejpam-4392	89	18	835	835	NUM
ejpam-4392	89	19	proof	proof	NOUN
ejpam-4392	89	20	.	.	PUNCT
ejpam-4392	90	1	let	let	AUX
ejpam-4392	90	2	be	be	AUX
ejpam-4392	90	3	t	t	PRON
ejpam-4392	90	4	∈	∈	PROPN
ejpam-4392	90	5	l(h	l(h	PROPN
ejpam-4392	90	6	)	)	PUNCT
ejpam-4392	90	7	a	a	DET
ejpam-4392	90	8	m−quasi	m−quasi	NOUN
ejpam-4392	90	9	paranormal	paranormal	ADJ
ejpam-4392	90	10	operator	operator	NOUN
ejpam-4392	90	11	.	.	PUNCT
ejpam-4392	91	1	a	a	PRON
ejpam-4392	91	2	)	)	PUNCT
ejpam-4392	91	3	let	let	AUX
ejpam-4392	91	4	be	be	AUX
ejpam-4392	91	5	s	s	PRON
ejpam-4392	91	6	an	an	DET
ejpam-4392	91	7	isometric	isometric	ADJ
ejpam-4392	91	8	operator	operator	NOUN
ejpam-4392	91	9	and	and	CCONJ
ejpam-4392	91	10	let	let	VERB
ejpam-4392	91	11	be	be	AUX
ejpam-4392	91	12	b	b	NOUN
ejpam-4392	91	13	=	=	SYM
ejpam-4392	91	14	ts	ts	PROPN
ejpam-4392	91	15	.	.	PUNCT
ejpam-4392	92	1	since	since	SCONJ
ejpam-4392	92	2	operator	operator	NOUN
ejpam-4392	92	3	t	t	PROPN
ejpam-4392	92	4	double	double	ADJ
ejpam-4392	92	5	commutes	commute	NOUN
ejpam-4392	92	6	with	with	ADP
ejpam-4392	92	7	operator	operator	NOUN
ejpam-4392	92	8	s	s	VERB
ejpam-4392	92	9	we	we	PRON
ejpam-4392	92	10	have	have	VERB
ejpam-4392	92	11	ts	ts	ADP
ejpam-4392	92	12	=	=	PROPN
ejpam-4392	92	13	st	st	PROPN
ejpam-4392	92	14	,	,	PUNCT
ejpam-4392	92	15	s∗t	s∗t	X
ejpam-4392	92	16	=	=	SYM
ejpam-4392	92	17	ts∗	ts∗	X
ejpam-4392	92	18	and	and	CCONJ
ejpam-4392	92	19	s∗s	s∗s	ADP
ejpam-4392	92	20	=	=	PUNCT
ejpam-4392	92	21	i.	i.	NOUN
ejpam-4392	92	22	now	now	ADV
ejpam-4392	92	23	,	,	PUNCT
ejpam-4392	92	24	m2b∗3b3	m2b∗3b3	NOUN
ejpam-4392	92	25	−	−	PROPN
ejpam-4392	92	26	2kb∗2b2	2kb∗2b2	NUM
ejpam-4392	92	27	+	+	CCONJ
ejpam-4392	92	28	k2b∗b	k2b∗b	X
ejpam-4392	93	1	=	=	SYM
ejpam-4392	93	2	m2(ts)∗3(ts)3	m2(ts)∗3(ts)3	PROPN
ejpam-4392	93	3	−	−	PROPN
ejpam-4392	93	4	2k(ts)∗2(ts)2	2k(ts)∗2(ts)2	NUM
ejpam-4392	93	5	+	+	NUM
ejpam-4392	93	6	k2(ts)∗(ts	k2(ts)∗(ts	X
ejpam-4392	93	7	)	)	PUNCT
ejpam-4392	93	8	=	=	SYM
ejpam-4392	94	1	m2	m2	PROPN
ejpam-4392	94	2	t	t	PROPN
ejpam-4392	94	3	∗3	∗3	PROPN
ejpam-4392	94	4	t	t	NOUN
ejpam-4392	94	5	3	3	NUM
ejpam-4392	94	6	−	−	NOUN
ejpam-4392	94	7	2kt	2kt	NOUN
ejpam-4392	94	8	∗2	∗2	PROPN
ejpam-4392	94	9	t	t	PROPN
ejpam-4392	94	10	2	2	NUM
ejpam-4392	94	11	+	+	SYM
ejpam-4392	94	12	k2	k2	PROPN
ejpam-4392	94	13	t	t	PROPN
ejpam-4392	94	14	∗t	∗t	PROPN
ejpam-4392	94	15	≥	≥	NUM
ejpam-4392	94	16	0	0	NUM
ejpam-4392	94	17	,	,	PUNCT
ejpam-4392	94	18	∀k	∀k	NOUN
ejpam-4392	94	19	>	>	X
ejpam-4392	94	20	0	0	PUNCT
ejpam-4392	95	1	so	so	CCONJ
ejpam-4392	95	2	ts	ts	ADV
ejpam-4392	95	3	is	be	AUX
ejpam-4392	95	4	a	a	DET
ejpam-4392	95	5	m−quasi	m−quasi	NOUN
ejpam-4392	95	6	paranormal	paranormal	ADJ
ejpam-4392	95	7	operator	operator	NOUN
ejpam-4392	95	8	.	.	PUNCT
ejpam-4392	96	1	b	b	X
ejpam-4392	96	2	)	)	PUNCT
ejpam-4392	96	3	since	since	SCONJ
ejpam-4392	96	4	operator	operator	NOUN
ejpam-4392	96	5	s	s	PART
ejpam-4392	96	6	is	be	AUX
ejpam-4392	96	7	unitarly	unitarly	ADV
ejpam-4392	96	8	equivalent	equivalent	ADJ
ejpam-4392	96	9	to	to	PART
ejpam-4392	96	10	operator	operator	VERB
ejpam-4392	96	11	t	t	PROPN
ejpam-4392	96	12	,	,	PUNCT
ejpam-4392	96	13	then	then	ADV
ejpam-4392	96	14	there	there	PRON
ejpam-4392	96	15	exists	exist	VERB
ejpam-4392	96	16	an	an	DET
ejpam-4392	96	17	unitary	unitary	ADJ
ejpam-4392	96	18	operator	operator	NOUN
ejpam-4392	96	19	u	u	NOUN
ejpam-4392	96	20	such	such	ADJ
ejpam-4392	96	21	that	that	PRON
ejpam-4392	96	22	s	s	PART
ejpam-4392	96	23	=	=	ADJ
ejpam-4392	96	24	u∗tu	u∗tu	PROPN
ejpam-4392	96	25	.	.	PUNCT
ejpam-4392	97	1	since	since	SCONJ
ejpam-4392	97	2	t	t	PROPN
ejpam-4392	97	3	is	be	AUX
ejpam-4392	97	4	a	a	DET
ejpam-4392	97	5	m−quasi	m−quasi	NOUN
ejpam-4392	97	6	paranormal	paranormal	ADJ
ejpam-4392	97	7	operator	operator	NOUN
ejpam-4392	97	8	then	then	ADV
ejpam-4392	97	9	m2	m2	PROPN
ejpam-4392	97	10	t	t	PROPN
ejpam-4392	97	11	∗3	∗3	PROPN
ejpam-4392	97	12	t	t	NOUN
ejpam-4392	97	13	3	3	NUM
ejpam-4392	97	14	−	−	NOUN
ejpam-4392	97	15	2kt	2kt	NOUN
ejpam-4392	97	16	∗2	∗2	PROPN
ejpam-4392	97	17	t	t	PROPN
ejpam-4392	97	18	2	2	NUM
ejpam-4392	97	19	+	+	SYM
ejpam-4392	97	20	k2	k2	PROPN
ejpam-4392	97	21	t	t	PROPN
ejpam-4392	97	22	∗t	∗t	PROPN
ejpam-4392	97	23	≥	≥	NUM
ejpam-4392	97	24	0,∀k	0,∀k	PUNCT
ejpam-4392	97	25	>	>	X
ejpam-4392	97	26	0	0	X
ejpam-4392	97	27	.	.	PUNCT
ejpam-4392	98	1	hence	hence	ADV
ejpam-4392	98	2	,	,	PUNCT
ejpam-4392	98	3	m2s∗3s3	m2s∗3s3	PROPN
ejpam-4392	98	4	−	−	PROPN
ejpam-4392	98	5	2ks∗2s2	2ks∗2s2	PROPN
ejpam-4392	98	6	+	+	PROPN
ejpam-4392	98	7	k2s∗s	k2s∗s	PROPN
ejpam-4392	98	8	=	=	SYM
ejpam-4392	98	9	m2(u∗tu)∗3(u∗tu)3	m2(u∗tu)∗3(u∗tu)3	PROPN
ejpam-4392	98	10	−	−	PROPN
ejpam-4392	98	11	2k(u∗tu)∗2(u∗tu)2	2k(u∗tu)∗2(u∗tu)2	CCONJ
ejpam-4392	98	12	+	+	CCONJ
ejpam-4392	98	13	k2(u∗tu)∗(u∗tu	k2(u∗tu)∗(u∗tu	NOUN
ejpam-4392	98	14	)	)	PUNCT
ejpam-4392	98	15	=	=	SYM
ejpam-4392	98	16	u∗(m2	u∗(m2	PROPN
ejpam-4392	98	17	t	t	PROPN
ejpam-4392	98	18	∗3	∗3	PROPN
ejpam-4392	98	19	t	t	NOUN
ejpam-4392	98	20	3	3	NUM
ejpam-4392	98	21	−	−	NOUN
ejpam-4392	98	22	2kt	2kt	NOUN
ejpam-4392	98	23	∗2	∗2	PROPN
ejpam-4392	98	24	t	t	PROPN
ejpam-4392	98	25	2	2	NUM
ejpam-4392	98	26	+	+	SYM
ejpam-4392	98	27	k2	k2	PROPN
ejpam-4392	98	28	t	t	PROPN
ejpam-4392	98	29	∗t	∗t	PROPN
ejpam-4392	98	30	)	)	PUNCT
ejpam-4392	98	31	u	u	NOUN
ejpam-4392	98	32	≥	≥	NOUN
ejpam-4392	98	33	0,∀k	0,∀k	PUNCT
ejpam-4392	98	34	>	>	PUNCT
ejpam-4392	98	35	0	0	PUNCT
ejpam-4392	99	1	so	so	CCONJ
ejpam-4392	99	2	s	s	VERB
ejpam-4392	99	3	is	be	AUX
ejpam-4392	99	4	a	a	DET
ejpam-4392	99	5	m−quasi	m−quasi	NOUN
ejpam-4392	99	6	paranormal	paranormal	ADJ
ejpam-4392	99	7	operator	operator	NOUN
ejpam-4392	99	8	.	.	PUNCT
ejpam-4392	100	1	c	c	X
ejpam-4392	100	2	)	)	PUNCT
ejpam-4392	100	3	∥(t	∥(t	VERB
ejpam-4392	101	1	|a)2u∥2	|a)2u∥2	NOUN
ejpam-4392	101	2	=	=	SYM
ejpam-4392	101	3	∥t	∥t	PROPN
ejpam-4392	101	4	2u∥2	2u∥2	NUM
ejpam-4392	101	5	≤	≤	NOUN
ejpam-4392	101	6	m(∥t	m(∥t	NOUN
ejpam-4392	101	7	3u∥	3u∥	NUM
ejpam-4392	101	8	·	·	PUNCT
ejpam-4392	101	9	∥tu∥	∥tu∥	X
ejpam-4392	101	10	)	)	PUNCT
ejpam-4392	102	1	=	=	PUNCT
ejpam-4392	102	2	m(∥(t	m(∥(t	PROPN
ejpam-4392	102	3	|a)3u∥	|a)3u∥	PROPN
ejpam-4392	102	4	·	·	PUNCT
ejpam-4392	102	5	∥tu∥	∥tu∥	NUM
ejpam-4392	102	6	)	)	PUNCT
ejpam-4392	102	7	.	.	PUNCT
ejpam-4392	103	1	this	this	PRON
ejpam-4392	103	2	implies	imply	VERB
ejpam-4392	103	3	that	that	SCONJ
ejpam-4392	103	4	t	t	PROPN
ejpam-4392	103	5	|a	|a	VERB
ejpam-4392	103	6	is	be	AUX
ejpam-4392	103	7	a	a	DET
ejpam-4392	103	8	m−quasi	m−quasi	NOUN
ejpam-4392	103	9	paranormal	paranormal	ADJ
ejpam-4392	103	10	operator	operator	NOUN
ejpam-4392	103	11	.	.	PUNCT
ejpam-4392	104	1	proposition	proposition	NOUN
ejpam-4392	104	2	6	6	NUM
ejpam-4392	104	3	.	.	PUNCT
ejpam-4392	105	1	if	if	SCONJ
ejpam-4392	105	2	t	t	PROPN
ejpam-4392	105	3	∈	∈	PROPN
ejpam-4392	105	4	l(h	l(h	PROPN
ejpam-4392	105	5	)	)	PUNCT
ejpam-4392	105	6	is	be	AUX
ejpam-4392	105	7	a	a	DET
ejpam-4392	105	8	invertible	invertible	ADJ
ejpam-4392	105	9	m−quasi	m−quasi	NOUN
ejpam-4392	105	10	paranormal	paranormal	ADJ
ejpam-4392	105	11	operator	operator	NOUN
ejpam-4392	105	12	then	then	ADV
ejpam-4392	105	13	t−1	t−1	PROPN
ejpam-4392	105	14	is	be	AUX
ejpam-4392	105	15	also	also	ADV
ejpam-4392	105	16	m−quasi	m−quasi	NOUN
ejpam-4392	105	17	paranormal	paranormal	ADJ
ejpam-4392	105	18	operator	operator	NOUN
ejpam-4392	105	19	.	.	PUNCT
ejpam-4392	106	1	proof	proof	NOUN
ejpam-4392	106	2	.	.	PUNCT
ejpam-4392	107	1	since	since	SCONJ
ejpam-4392	107	2	t	t	PROPN
ejpam-4392	107	3	is	be	AUX
ejpam-4392	107	4	a	a	DET
ejpam-4392	107	5	m−quasi	m−quasi	NOUN
ejpam-4392	107	6	paranormal	paranormal	ADJ
ejpam-4392	107	7	operator	operator	NOUN
ejpam-4392	107	8	,	,	PUNCT
ejpam-4392	107	9	for	for	ADP
ejpam-4392	107	10	a	a	DET
ejpam-4392	107	11	fixed	fix	VERB
ejpam-4392	107	12	real	real	ADJ
ejpam-4392	107	13	positive	positive	ADJ
ejpam-4392	107	14	number	number	NOUN
ejpam-4392	107	15	m	m	NOUN
ejpam-4392	107	16	,	,	PUNCT
ejpam-4392	107	17	then	then	ADV
ejpam-4392	107	18	∥t	∥t	PRON
ejpam-4392	107	19	2x∥2	2x∥2	NOUN
ejpam-4392	107	20	≤	≤	NUM
ejpam-4392	107	21	m∥t	m∥t	VERB
ejpam-4392	107	22	3x∥	3x∥	NUM
ejpam-4392	107	23	·	·	PUNCT
ejpam-4392	107	24	∥tx∥	∥tx∥	ADV
ejpam-4392	107	25	,	,	PUNCT
ejpam-4392	107	26	∀x	∀x	PROPN
ejpam-4392	107	27	∈	∈	PROPN
ejpam-4392	107	28	h.	h.	NOUN
ejpam-4392	107	29	then	then	ADV
ejpam-4392	107	30	,	,	PUNCT
ejpam-4392	107	31	∥t	∥t	PROPN
ejpam-4392	107	32	2x∥	2x∥	NOUN
ejpam-4392	107	33	∥t	∥t	ADJ
ejpam-4392	107	34	3x∥	3x∥	NOUN
ejpam-4392	107	35	≤	≤	NUM
ejpam-4392	107	36	m∥tx∥	m∥tx∥	NOUN
ejpam-4392	107	37	∥t	∥t	PROPN
ejpam-4392	107	38	2x∥	2x∥	NUM
ejpam-4392	107	39	∀x	∀x	X
ejpam-4392	107	40	∈	∈	PROPN
ejpam-4392	107	41	h.	h.	NOUN
ejpam-4392	107	42	now	now	ADV
ejpam-4392	107	43	replacing	replace	VERB
ejpam-4392	107	44	x	x	PUNCT
ejpam-4392	107	45	by	by	ADP
ejpam-4392	107	46	t−4x	t−4x	PROPN
ejpam-4392	107	47	,	,	PUNCT
ejpam-4392	107	48	we	we	PRON
ejpam-4392	107	49	have	have	VERB
ejpam-4392	107	50	v.	v.	PROPN
ejpam-4392	107	51	r.	r.	PROPN
ejpam-4392	107	52	hamiti	hamiti	PROPN
ejpam-4392	107	53	,	,	PUNCT
ejpam-4392	107	54	q.	q.	PROPN
ejpam-4392	107	55	d.	d.	PROPN
ejpam-4392	107	56	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	107	57	/	/	SYM
ejpam-4392	107	58	eur	eur	PROPN
ejpam-4392	107	59	.	.	PUNCT
ejpam-4392	108	1	j.	j.	PROPN
ejpam-4392	108	2	pure	pure	PROPN
ejpam-4392	108	3	appl	appl	PROPN
ejpam-4392	108	4	.	.	PROPN
ejpam-4392	108	5	math	math	PROPN
ejpam-4392	108	6	,	,	PUNCT
ejpam-4392	108	7	15	15	NUM
ejpam-4392	108	8	(	(	PUNCT
ejpam-4392	108	9	3	3	NUM
ejpam-4392	108	10	)	)	PUNCT
ejpam-4392	108	11	(	(	PUNCT
ejpam-4392	108	12	2022	2022	NUM
ejpam-4392	108	13	)	)	PUNCT
ejpam-4392	108	14	,	,	PUNCT
ejpam-4392	108	15	830	830	NUM
ejpam-4392	108	16	-	-	SYM
ejpam-4392	108	17	840	840	NUM
ejpam-4392	108	18	836	836	NUM
ejpam-4392	108	19	∥t	∥t	ADJ
ejpam-4392	108	20	2t−4x∥	2t−4x∥	NUM
ejpam-4392	108	21	∥t	∥t	ADJ
ejpam-4392	108	22	3t−4x∥	3t−4x∥	ADJ
ejpam-4392	108	23	≤	≤	NUM
ejpam-4392	108	24	m∥tt−4x∥	m∥tt−4x∥	NOUN
ejpam-4392	109	1	∥t	∥t	PRON
ejpam-4392	109	2	2t−4x∥	2t−4x∥	NUM
ejpam-4392	109	3	∥t−2x∥	∥t−2x∥	PROPN
ejpam-4392	109	4	∥t−1x∥	∥t−1x∥	PROPN
ejpam-4392	109	5	≤	≤	PROPN
ejpam-4392	109	6	m∥t−3x∥	m∥t−3x∥	ADJ
ejpam-4392	109	7	∥t−2x∥	∥t−2x∥	PROPN
ejpam-4392	109	8	∥t−2x∥2	∥t−2x∥2	NOUN
ejpam-4392	109	9	≤	≤	ADV
ejpam-4392	109	10	m∥t−3x∥	m∥t−3x∥	NOUN
ejpam-4392	109	11	·	·	PUNCT
ejpam-4392	109	12	∥t−1x∥	∥t−1x∥	NOUN
ejpam-4392	109	13	∀x	∀x	PUNCT
ejpam-4392	109	14	∈	∈	PROPN
ejpam-4392	109	15	h.	h.	NOUN
ejpam-4392	110	1	this	this	PRON
ejpam-4392	110	2	shows	show	VERB
ejpam-4392	110	3	that	that	SCONJ
ejpam-4392	110	4	t−1	t−1	PROPN
ejpam-4392	110	5	is	be	AUX
ejpam-4392	110	6	a	a	DET
ejpam-4392	110	7	m−quasi	m−quasi	NOUN
ejpam-4392	110	8	paranormal	paranormal	ADJ
ejpam-4392	110	9	operator	operator	NOUN
ejpam-4392	110	10	.	.	PUNCT
ejpam-4392	111	1	proposition	proposition	NOUN
ejpam-4392	111	2	7	7	NUM
ejpam-4392	111	3	.	.	PUNCT
ejpam-4392	112	1	let	let	VERB
ejpam-4392	112	2	t	t	PROPN
ejpam-4392	112	3	∈	∈	PROPN
ejpam-4392	112	4	l(h	l(h	PROPN
ejpam-4392	112	5	)	)	PUNCT
ejpam-4392	112	6	be	be	VERB
ejpam-4392	112	7	a	a	DET
ejpam-4392	112	8	m−quasi	m−quasi	NOUN
ejpam-4392	112	9	paranormal	paranormal	ADJ
ejpam-4392	112	10	operator	operator	NOUN
ejpam-4392	112	11	.	.	PUNCT
ejpam-4392	113	1	if	if	SCONJ
ejpam-4392	113	2	t	t	PROPN
ejpam-4392	113	3	k	k	PROPN
ejpam-4392	113	4	has	have	VERB
ejpam-4392	113	5	dense	dense	ADJ
ejpam-4392	113	6	range	range	NOUN
ejpam-4392	113	7	,	,	PUNCT
ejpam-4392	113	8	then	then	ADV
ejpam-4392	113	9	t	t	PROPN
ejpam-4392	113	10	is	be	AUX
ejpam-4392	113	11	a	a	DET
ejpam-4392	113	12	m−paranormal	m−paranormal	ADJ
ejpam-4392	113	13	operator	operator	NOUN
ejpam-4392	113	14	.	.	PUNCT
ejpam-4392	114	1	proof	proof	NOUN
ejpam-4392	114	2	.	.	PUNCT
ejpam-4392	115	1	since	since	SCONJ
ejpam-4392	115	2	t	t	PROPN
ejpam-4392	115	3	k	k	PROPN
ejpam-4392	115	4	has	have	VERB
ejpam-4392	115	5	dense	dense	ADJ
ejpam-4392	115	6	range	range	NOUN
ejpam-4392	115	7	,	,	PUNCT
ejpam-4392	115	8	t	t	PROPN
ejpam-4392	115	9	k(h	k(h	PROPN
ejpam-4392	115	10	)	)	PUNCT
ejpam-4392	116	1	=	=	SYM
ejpam-4392	116	2	h.	h.	PROPN
ejpam-4392	116	3	let	let	VERB
ejpam-4392	116	4	y	y	PROPN
ejpam-4392	116	5	∈	∈	PROPN
ejpam-4392	116	6	h.	h.	NOUN
ejpam-4392	116	7	then	then	ADV
ejpam-4392	116	8	there	there	PRON
ejpam-4392	116	9	exists	exist	VERB
ejpam-4392	116	10	a	a	DET
ejpam-4392	116	11	sequence	sequence	NOUN
ejpam-4392	116	12	{	{	PUNCT
ejpam-4392	116	13	xn}+∞	xn}+∞	X
ejpam-4392	116	14	n=1	n=1	PROPN
ejpam-4392	116	15	in	in	ADP
ejpam-4392	116	16	h	h	PRON
ejpam-4392	116	17	such	such	ADJ
ejpam-4392	116	18	that	that	SCONJ
ejpam-4392	116	19	t	t	PROPN
ejpam-4392	116	20	k(xn	k(xn	PROPN
ejpam-4392	116	21	)	)	PUNCT
ejpam-4392	116	22	→	→	SYM
ejpam-4392	116	23	y	y	PROPN
ejpam-4392	116	24	,	,	PUNCT
ejpam-4392	116	25	n	n	PROPN
ejpam-4392	116	26	→	→	SYM
ejpam-4392	116	27	+	+	NOUN
ejpam-4392	116	28	∞.	∞.	PROPN
ejpam-4392	116	29	since	since	SCONJ
ejpam-4392	116	30	t	t	PROPN
ejpam-4392	116	31	is	be	AUX
ejpam-4392	116	32	a	a	DET
ejpam-4392	116	33	m−quasi	m−quasi	NOUN
ejpam-4392	116	34	paranormal	paranormal	ADJ
ejpam-4392	116	35	operator	operator	NOUN
ejpam-4392	116	36	,	,	PUNCT
ejpam-4392	116	37	then	then	ADV
ejpam-4392	116	38	〈	〈	PROPN
ejpam-4392	116	39	(	(	PUNCT
ejpam-4392	116	40	m2	m2	PROPN
ejpam-4392	116	41	t	t	PROPN
ejpam-4392	116	42	∗3	∗3	PROPN
ejpam-4392	116	43	t	t	NOUN
ejpam-4392	116	44	3	3	NUM
ejpam-4392	117	1	−	−	NOUN
ejpam-4392	117	2	2kt	2kt	NOUN
ejpam-4392	117	3	∗2	∗2	PROPN
ejpam-4392	117	4	t	t	PROPN
ejpam-4392	117	5	2	2	NUM
ejpam-4392	117	6	+	+	SYM
ejpam-4392	117	7	k2	k2	PROPN
ejpam-4392	117	8	t	t	PROPN
ejpam-4392	117	9	∗t	∗t	PROPN
ejpam-4392	117	10	)	)	PUNCT
ejpam-4392	117	11	xn	xn	PROPN
ejpam-4392	117	12	,	,	PUNCT
ejpam-4392	117	13	xn	xn	PROPN
ejpam-4392	117	14	〉	〉	PROPN
ejpam-4392	117	15	≥	≥	NUM
ejpam-4392	117	16	0	0	NUM
ejpam-4392	117	17	,	,	PUNCT
ejpam-4392	117	18	∀k	∀k	NOUN
ejpam-4392	117	19	>	>	X
ejpam-4392	117	20	0	0	NUM
ejpam-4392	117	21	;	;	PUNCT
ejpam-4392	117	22	〈	〈	PROPN
ejpam-4392	117	23	(	(	PUNCT
ejpam-4392	117	24	t	t	PROPN
ejpam-4392	117	25	∗(m2	∗(m2	PROPN
ejpam-4392	117	26	t	t	PROPN
ejpam-4392	117	27	∗2	∗2	PROPN
ejpam-4392	117	28	t	t	PROPN
ejpam-4392	117	29	2	2	NUM
ejpam-4392	117	30	−	−	NOUN
ejpam-4392	117	31	2kt	2kt	ADJ
ejpam-4392	118	1	∗t	∗t	PROPN
ejpam-4392	118	2	+	+	CCONJ
ejpam-4392	118	3	k2)t	k2)t	NOUN
ejpam-4392	118	4	)	)	PUNCT
ejpam-4392	118	5	xn	xn	PROPN
ejpam-4392	118	6	,	,	PUNCT
ejpam-4392	118	7	xn	xn	PROPN
ejpam-4392	118	8	〉	〉	PROPN
ejpam-4392	118	9	≥	≥	NOUN
ejpam-4392	118	10	0,∀k	0,∀k	X
ejpam-4392	118	11	>	>	X
ejpam-4392	118	12	0	0	NUM
ejpam-4392	118	13	;	;	PUNCT
ejpam-4392	118	14	〈	〈	PROPN
ejpam-4392	118	15	(	(	PUNCT
ejpam-4392	118	16	m2	m2	PROPN
ejpam-4392	118	17	t	t	PROPN
ejpam-4392	118	18	∗2	∗2	PROPN
ejpam-4392	118	19	t	t	PROPN
ejpam-4392	118	20	2	2	NUM
ejpam-4392	118	21	−	−	NOUN
ejpam-4392	118	22	2kt	2kt	ADJ
ejpam-4392	119	1	∗t	∗t	PROPN
ejpam-4392	119	2	+	+	CCONJ
ejpam-4392	119	3	k2)txn	k2)txn	NOUN
ejpam-4392	119	4	,	,	PUNCT
ejpam-4392	119	5	txn	txn	PROPN
ejpam-4392	119	6	〉	〉	PROPN
ejpam-4392	119	7	≥	≥	NUM
ejpam-4392	119	8	0	0	NUM
ejpam-4392	119	9	,	,	PUNCT
ejpam-4392	119	10	∀k	∀k	NOUN
ejpam-4392	119	11	>	>	X
ejpam-4392	119	12	0	0	NUM
ejpam-4392	119	13	.	.	PUNCT
ejpam-4392	120	1	by	by	ADP
ejpam-4392	120	2	the	the	DET
ejpam-4392	120	3	continuity	continuity	NOUN
ejpam-4392	120	4	of	of	ADP
ejpam-4392	120	5	the	the	DET
ejpam-4392	120	6	inner	inner	ADJ
ejpam-4392	120	7	product	product	NOUN
ejpam-4392	120	8	,	,	PUNCT
ejpam-4392	120	9	we	we	PRON
ejpam-4392	120	10	have	have	VERB
ejpam-4392	120	11	⟨(m2	⟨(m2	PROPN
ejpam-4392	120	12	t	t	PROPN
ejpam-4392	120	13	∗2	∗2	PROPN
ejpam-4392	120	14	t	t	PROPN
ejpam-4392	120	15	2	2	NUM
ejpam-4392	120	16	−	−	NOUN
ejpam-4392	120	17	2kt	2kt	ADJ
ejpam-4392	121	1	∗t	∗t	PROPN
ejpam-4392	121	2	+	+	CCONJ
ejpam-4392	121	3	k2)y	k2)y	PROPN
ejpam-4392	121	4	,	,	PUNCT
ejpam-4392	121	5	y⟩	y⟩	NOUN
ejpam-4392	121	6	≥	≥	NUM
ejpam-4392	121	7	0,∀y	0,∀y	NUM
ejpam-4392	121	8	∈	∈	PROPN
ejpam-4392	121	9	h	h	NOUN
ejpam-4392	121	10	,	,	PUNCT
ejpam-4392	121	11	∀k	∀k	NOUN
ejpam-4392	121	12	>	>	X
ejpam-4392	121	13	0	0	X
ejpam-4392	121	14	.	.	PUNCT
ejpam-4392	122	1	therefore	therefore	ADV
ejpam-4392	122	2	t	t	PROPN
ejpam-4392	122	3	is	be	AUX
ejpam-4392	122	4	a	a	DET
ejpam-4392	122	5	m−paranormal	m−paranormal	ADJ
ejpam-4392	122	6	operator	operator	NOUN
ejpam-4392	122	7	.	.	PUNCT
ejpam-4392	123	1	in	in	ADP
ejpam-4392	123	2	following	follow	VERB
ejpam-4392	123	3	we	we	PRON
ejpam-4392	123	4	give	give	VERB
ejpam-4392	123	5	the	the	DET
ejpam-4392	123	6	inclusion	inclusion	NOUN
ejpam-4392	123	7	of	of	ADP
ejpam-4392	123	8	approximate	approximate	ADJ
ejpam-4392	123	9	point	point	NOUN
ejpam-4392	123	10	spectrum	spectrum	NOUN
ejpam-4392	123	11	of	of	ADP
ejpam-4392	123	12	this	this	DET
ejpam-4392	123	13	class	class	NOUN
ejpam-4392	123	14	of	of	ADP
ejpam-4392	123	15	operators	operator	NOUN
ejpam-4392	123	16	.	.	PUNCT
ejpam-4392	124	1	proposition	proposition	NOUN
ejpam-4392	124	2	8	8	NUM
ejpam-4392	124	3	.	.	PUNCT
ejpam-4392	125	1	let	let	VERB
ejpam-4392	125	2	t	t	PROPN
ejpam-4392	125	3	∈	∈	PROPN
ejpam-4392	125	4	l(h	l(h	PROPN
ejpam-4392	125	5	)	)	PUNCT
ejpam-4392	125	6	be	be	AUX
ejpam-4392	125	7	a	a	DET
ejpam-4392	125	8	regular	regular	ADJ
ejpam-4392	125	9	m−quasi	m−quasi	NOUN
ejpam-4392	125	10	paranormal	paranormal	ADJ
ejpam-4392	125	11	operator	operator	NOUN
ejpam-4392	125	12	.	.	PUNCT
ejpam-4392	126	1	then	then	ADV
ejpam-4392	126	2	the	the	DET
ejpam-4392	126	3	approximate	approximate	ADJ
ejpam-4392	126	4	point	point	NOUN
ejpam-4392	126	5	spectrum	spectrum	NOUN
ejpam-4392	126	6	of	of	ADP
ejpam-4392	126	7	operator	operator	NOUN
ejpam-4392	126	8	t	t	PROPN
ejpam-4392	126	9	lies	lie	VERB
ejpam-4392	126	10	in	in	ADP
ejpam-4392	126	11	the	the	DET
ejpam-4392	126	12	disc	disc	NOUN
ejpam-4392	126	13	σa(t	σa(t	PUNCT
ejpam-4392	126	14	)	)	PUNCT
ejpam-4392	126	15	⊆	⊆	NUM
ejpam-4392	126	16	{	{	PUNCT
ejpam-4392	126	17	λ	λ	X
ejpam-4392	126	18	∈	∈	NOUN
ejpam-4392	126	19	c	c	NOUN
ejpam-4392	126	20	:	:	PUNCT
ejpam-4392	126	21	1√	1√	NUM
ejpam-4392	126	22	m∥t−2∥	m∥t−2∥	NOUN
ejpam-4392	126	23	·	·	PUNCT
ejpam-4392	127	1	√	√	NUM
ejpam-4392	128	1	∥t	∥t	PRON
ejpam-4392	128	2	2∥	2∥	NUM
ejpam-4392	128	3	≤	≤	PUNCT
ejpam-4392	128	4	|λ|	|λ|	NOUN
ejpam-4392	128	5	≤	≤	NOUN
ejpam-4392	128	6	∥t∥	∥t∥	ADV
ejpam-4392	128	7	}	}	PUNCT
ejpam-4392	128	8	.	.	PUNCT
ejpam-4392	129	1	proof	proof	NOUN
ejpam-4392	129	2	.	.	PUNCT
ejpam-4392	130	1	let	let	VERB
ejpam-4392	130	2	t	t	NOUN
ejpam-4392	130	3	be	be	AUX
ejpam-4392	130	4	a	a	DET
ejpam-4392	130	5	regular	regular	ADJ
ejpam-4392	130	6	m−quasi	m−quasi	NOUN
ejpam-4392	130	7	paranormal	paranormal	NOUN
ejpam-4392	130	8	operator	operator	NOUN
ejpam-4392	130	9	,	,	PUNCT
ejpam-4392	130	10	∀x	∀x	X
ejpam-4392	130	11	∈	∈	PROPN
ejpam-4392	130	12	h	h	NOUN
ejpam-4392	130	13	,	,	PUNCT
ejpam-4392	130	14	∥x∥	∥x∥	NOUN
ejpam-4392	130	15	=	=	SYM
ejpam-4392	130	16	1	1	NUM
ejpam-4392	130	17	we	we	PRON
ejpam-4392	130	18	have	have	VERB
ejpam-4392	130	19	:	:	PUNCT
ejpam-4392	130	20	∥x∥2	∥x∥2	NOUN
ejpam-4392	130	21	=	=	SYM
ejpam-4392	130	22	∥t−2	∥t−2	PROPN
ejpam-4392	130	23	·	·	PUNCT
ejpam-4392	130	24	t	t	PROPN
ejpam-4392	130	25	2x∥2	2x∥2	NOUN
ejpam-4392	130	26	≤∥t−2∥2	≤∥t−2∥2	PROPN
ejpam-4392	130	27	·	·	PUNCT
ejpam-4392	130	28	∥t	∥t	ADJ
ejpam-4392	130	29	2x∥2	2x∥2	NOUN
ejpam-4392	130	30	≤∥t−2∥2	≤∥t−2∥2	X
ejpam-4392	130	31	·	·	PUNCT
ejpam-4392	130	32	m	m	VERB
ejpam-4392	130	33	·	·	PUNCT
ejpam-4392	130	34	∥t	∥t	ADJ
ejpam-4392	130	35	3x∥	3x∥	NOUN
ejpam-4392	130	36	·	·	PUNCT
ejpam-4392	130	37	∥tx∥	∥tx∥	NOUN
ejpam-4392	130	38	v.	v.	PROPN
ejpam-4392	130	39	r.	r.	PROPN
ejpam-4392	130	40	hamiti	hamiti	PROPN
ejpam-4392	130	41	,	,	PUNCT
ejpam-4392	130	42	q.	q.	PROPN
ejpam-4392	130	43	d.	d.	PROPN
ejpam-4392	130	44	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	130	45	/	/	SYM
ejpam-4392	130	46	eur	eur	PROPN
ejpam-4392	130	47	.	.	PUNCT
ejpam-4392	131	1	j.	j.	PROPN
ejpam-4392	131	2	pure	pure	PROPN
ejpam-4392	131	3	appl	appl	PROPN
ejpam-4392	131	4	.	.	PROPN
ejpam-4392	131	5	math	math	PROPN
ejpam-4392	131	6	,	,	PUNCT
ejpam-4392	131	7	15	15	NUM
ejpam-4392	131	8	(	(	PUNCT
ejpam-4392	131	9	3	3	NUM
ejpam-4392	131	10	)	)	PUNCT
ejpam-4392	131	11	(	(	PUNCT
ejpam-4392	131	12	2022	2022	NUM
ejpam-4392	131	13	)	)	PUNCT
ejpam-4392	131	14	,	,	PUNCT
ejpam-4392	131	15	830	830	NUM
ejpam-4392	131	16	-	-	SYM
ejpam-4392	131	17	840	840	NUM
ejpam-4392	131	18	837	837	NUM
ejpam-4392	131	19	≤m	≤m	NOUN
ejpam-4392	131	20	·	·	PUNCT
ejpam-4392	131	21	∥t−2∥2	∥t−2∥2	VERB
ejpam-4392	131	22	·	·	PUNCT
ejpam-4392	131	23	∥t	∥t	ADJ
ejpam-4392	131	24	2∥	2∥	NUM
ejpam-4392	131	25	·	·	PUNCT
ejpam-4392	131	26	∥tx∥	∥tx∥	NOUN
ejpam-4392	131	27	·	·	PUNCT
ejpam-4392	131	28	∥tx∥	∥tx∥	NOUN
ejpam-4392	132	1	=	=	PRON
ejpam-4392	132	2	m	m	PROPN
ejpam-4392	132	3	·	·	PUNCT
ejpam-4392	132	4	∥t−2∥2	∥t−2∥2	VERB
ejpam-4392	132	5	·	·	PUNCT
ejpam-4392	132	6	∥t	∥t	ADJ
ejpam-4392	132	7	2∥	2∥	NUM
ejpam-4392	132	8	·	·	PUNCT
ejpam-4392	132	9	∥tx∥2	∥tx∥2	INTJ
ejpam-4392	132	10	.	.	PUNCT
ejpam-4392	133	1	so	so	ADV
ejpam-4392	133	2	,	,	PUNCT
ejpam-4392	133	3	1	1	NUM
ejpam-4392	133	4	≤	≤	NUM
ejpam-4392	133	5	m	m	VERB
ejpam-4392	133	6	·	·	PUNCT
ejpam-4392	133	7	∥t−2∥2	∥t−2∥2	VERB
ejpam-4392	133	8	·	·	PUNCT
ejpam-4392	133	9	∥t	∥t	ADJ
ejpam-4392	133	10	2∥	2∥	NUM
ejpam-4392	133	11	·	·	PUNCT
ejpam-4392	134	1	∥tx∥2	∥tx∥2	INTJ
ejpam-4392	134	2	,	,	PUNCT
ejpam-4392	134	3	where	where	SCONJ
ejpam-4392	134	4	we	we	PRON
ejpam-4392	134	5	have	have	VERB
ejpam-4392	134	6	∥tx∥	∥tx∥	ADJ
ejpam-4392	134	7	≥	≥	PROPN
ejpam-4392	134	8	1√	1√	PROPN
ejpam-4392	134	9	m∥t−2∥	m∥t−2∥	PROPN
ejpam-4392	134	10	·	·	PUNCT
ejpam-4392	134	11	√	√	NUM
ejpam-4392	135	1	∥t	∥t	INTJ
ejpam-4392	135	2	2∥	2∥	PROPN
ejpam-4392	135	3	.	.	PUNCT
ejpam-4392	136	1	now	now	ADV
ejpam-4392	136	2	,	,	PUNCT
ejpam-4392	136	3	assume	assume	VERB
ejpam-4392	136	4	that	that	SCONJ
ejpam-4392	136	5	λ	λ	PROPN
ejpam-4392	136	6	∈	∈	PROPN
ejpam-4392	136	7	σa(t	σa(t	PUNCT
ejpam-4392	136	8	)	)	PUNCT
ejpam-4392	136	9	,	,	PUNCT
ejpam-4392	136	10	then	then	ADV
ejpam-4392	136	11	∃(xn	∃(xn	PROPN
ejpam-4392	136	12	)	)	PUNCT
ejpam-4392	136	13	,	,	PUNCT
ejpam-4392	136	14	∥xn∥	∥xn∥	PROPN
ejpam-4392	137	1	=	=	SYM
ejpam-4392	137	2	1	1	NUM
ejpam-4392	137	3	and	and	CCONJ
ejpam-4392	137	4	∥(t	∥(t	VERB
ejpam-4392	137	5	−	−	PUNCT
ejpam-4392	137	6	λi)xn∥	λi)xn∥	X
ejpam-4392	137	7	→	→	SYM
ejpam-4392	137	8	0	0	NUM
ejpam-4392	137	9	,	,	PUNCT
ejpam-4392	137	10	n	n	NOUN
ejpam-4392	137	11	→	→	PUNCT
ejpam-4392	137	12	+	+	PROPN
ejpam-4392	137	13	∞.	∞.	PROPN
ejpam-4392	137	14	from	from	ADP
ejpam-4392	137	15	the	the	DET
ejpam-4392	137	16	last	last	ADJ
ejpam-4392	137	17	inequation	inequation	NOUN
ejpam-4392	137	18	we	we	PRON
ejpam-4392	137	19	have	have	VERB
ejpam-4392	137	20	:	:	PUNCT
ejpam-4392	137	21	∥txn	∥txn	VERB
ejpam-4392	137	22	−	−	PROPN
ejpam-4392	137	23	λxn∥	λxn∥	SYM
ejpam-4392	137	24	≥	≥	PROPN
ejpam-4392	137	25	∥txn∥	∥txn∥	PUNCT
ejpam-4392	138	1	−	−	PROPN
ejpam-4392	138	2	|λ|	|λ|	PROPN
ejpam-4392	138	3	·	·	PUNCT
ejpam-4392	138	4	∥xn∥	∥xn∥	PROPN
ejpam-4392	138	5	≥	≥	PROPN
ejpam-4392	138	6	1√	1√	NUM
ejpam-4392	138	7	m∥t−2∥	m∥t−2∥	PROPN
ejpam-4392	138	8	·	·	PUNCT
ejpam-4392	138	9	√	√	NUM
ejpam-4392	139	1	∥t	∥t	INTJ
ejpam-4392	139	2	2∥	2∥	NUM
ejpam-4392	140	1	−	−	PROPN
ejpam-4392	140	2	|λ|	|λ|	PROPN
ejpam-4392	140	3	.	.	PUNCT
ejpam-4392	141	1	now	now	ADV
ejpam-4392	141	2	,	,	PUNCT
ejpam-4392	141	3	when	when	SCONJ
ejpam-4392	141	4	n	n	X
ejpam-4392	141	5	→	→	SYM
ejpam-4392	141	6	+	+	NOUN
ejpam-4392	141	7	∞	∞	NOUN
ejpam-4392	141	8	we	we	PRON
ejpam-4392	141	9	have	have	VERB
ejpam-4392	141	10	|λ|	|λ|	NOUN
ejpam-4392	141	11	≥	≥	NUM
ejpam-4392	141	12	1√	1√	PROPN
ejpam-4392	141	13	m∥t−2∥	m∥t−2∥	PROPN
ejpam-4392	141	14	·	·	PUNCT
ejpam-4392	142	1	√	√	NUM
ejpam-4392	143	1	∥t	∥t	INTJ
ejpam-4392	143	2	2∥	2∥	X
ejpam-4392	143	3	.	.	PUNCT
ejpam-4392	144	1	so	so	ADV
ejpam-4392	144	2	,	,	PUNCT
ejpam-4392	144	3	we	we	PRON
ejpam-4392	144	4	have	have	VERB
ejpam-4392	144	5	σa(t	σa(t	PUNCT
ejpam-4392	144	6	)	)	PUNCT
ejpam-4392	145	1	⊆	⊆	X
ejpam-4392	145	2	{	{	PUNCT
ejpam-4392	145	3	λ	λ	X
ejpam-4392	145	4	∈	∈	NOUN
ejpam-4392	145	5	c	c	NOUN
ejpam-4392	145	6	:	:	PUNCT
ejpam-4392	145	7	1√	1√	NUM
ejpam-4392	145	8	m∥t−2∥	m∥t−2∥	NOUN
ejpam-4392	145	9	·	·	PUNCT
ejpam-4392	145	10	√	√	NUM
ejpam-4392	146	1	∥t	∥t	PRON
ejpam-4392	146	2	2∥	2∥	NUM
ejpam-4392	146	3	≤	≤	PUNCT
ejpam-4392	146	4	|λ|	|λ|	NOUN
ejpam-4392	146	5	≤	≤	NOUN
ejpam-4392	146	6	∥t∥	∥t∥	ADV
ejpam-4392	146	7	}	}	PUNCT
ejpam-4392	146	8	.	.	PUNCT
ejpam-4392	147	1	therefore	therefore	ADV
ejpam-4392	147	2	the	the	DET
ejpam-4392	147	3	proof	proof	NOUN
ejpam-4392	147	4	is	be	AUX
ejpam-4392	147	5	completed	complete	VERB
ejpam-4392	147	6	.	.	PUNCT
ejpam-4392	148	1	now	now	ADV
ejpam-4392	148	2	we	we	PRON
ejpam-4392	148	3	will	will	AUX
ejpam-4392	148	4	give	give	VERB
ejpam-4392	148	5	some	some	DET
ejpam-4392	148	6	results	result	NOUN
ejpam-4392	148	7	for	for	ADP
ejpam-4392	148	8	the	the	DET
ejpam-4392	148	9	matrix	matrix	NOUN
ejpam-4392	148	10	representation	representation	NOUN
ejpam-4392	148	11	of	of	ADP
ejpam-4392	148	12	m−quasi	m−quasi	NOUN
ejpam-4392	148	13	paranormal	paranormal	ADJ
ejpam-4392	148	14	operators	operator	NOUN
ejpam-4392	148	15	.	.	PUNCT
ejpam-4392	149	1	proposition	proposition	NOUN
ejpam-4392	149	2	9	9	NUM
ejpam-4392	149	3	.	.	PUNCT
ejpam-4392	150	1	let	let	AUX
ejpam-4392	150	2	t	t	PROPN
ejpam-4392	150	3	∈	∈	PROPN
ejpam-4392	150	4	l(h⊕h	l(h⊕h	PROPN
ejpam-4392	150	5	)	)	PUNCT
ejpam-4392	150	6	be	be	VERB
ejpam-4392	150	7	the	the	DET
ejpam-4392	150	8	operator	operator	NOUN
ejpam-4392	150	9	defined	define	VERB
ejpam-4392	150	10	as	as	ADP
ejpam-4392	150	11	t	t	PROPN
ejpam-4392	150	12	=	=	PUNCT
ejpam-4392	150	13	(	(	PUNCT
ejpam-4392	150	14	a	a	DET
ejpam-4392	150	15	b	b	NOUN
ejpam-4392	150	16	0	0	NUM
ejpam-4392	150	17	0	0	NUM
ejpam-4392	150	18	)	)	PUNCT
ejpam-4392	150	19	.	.	PUNCT
ejpam-4392	151	1	if	if	SCONJ
ejpam-4392	151	2	a	a	PRON
ejpam-4392	151	3	is	be	AUX
ejpam-4392	151	4	a	a	DET
ejpam-4392	151	5	m−paranormal	m−paranormal	ADJ
ejpam-4392	151	6	operator	operator	NOUN
ejpam-4392	151	7	,	,	PUNCT
ejpam-4392	151	8	then	then	ADV
ejpam-4392	151	9	t	t	PROPN
ejpam-4392	151	10	is	be	AUX
ejpam-4392	151	11	a	a	DET
ejpam-4392	151	12	m−quasi	m−quasi	NOUN
ejpam-4392	151	13	paranormal	paranormal	ADJ
ejpam-4392	151	14	operator	operator	NOUN
ejpam-4392	151	15	.	.	PUNCT
ejpam-4392	152	1	proof	proof	NOUN
ejpam-4392	152	2	.	.	PUNCT
ejpam-4392	153	1	a	a	DET
ejpam-4392	153	2	simple	simple	ADJ
ejpam-4392	153	3	calculation	calculation	NOUN
ejpam-4392	153	4	shows	show	VERB
ejpam-4392	153	5	that	that	SCONJ
ejpam-4392	153	6	:	:	PUNCT
ejpam-4392	153	7	t	t	NOUN
ejpam-4392	153	8	∗	∗	NOUN
ejpam-4392	153	9	=	=	SYM
ejpam-4392	153	10	(	(	PUNCT
ejpam-4392	153	11	a∗	a∗	NOUN
ejpam-4392	153	12	0	0	SYM
ejpam-4392	153	13	b∗	b∗	ADJ
ejpam-4392	153	14	0	0	NUM
ejpam-4392	153	15	)	)	PUNCT
ejpam-4392	153	16	,	,	PUNCT
ejpam-4392	153	17	t	t	NOUN
ejpam-4392	153	18	∗2	∗2	PROPN
ejpam-4392	153	19	=	=	PRON
ejpam-4392	153	20	(	(	PUNCT
ejpam-4392	153	21	a∗2	a∗2	PROPN
ejpam-4392	153	22	0	0	PUNCT
ejpam-4392	153	23	b∗a∗	b∗a∗	NOUN
ejpam-4392	153	24	0	0	NUM
ejpam-4392	153	25	)	)	PUNCT
ejpam-4392	153	26	,	,	PUNCT
ejpam-4392	153	27	t	t	PROPN
ejpam-4392	153	28	2	2	NUM
ejpam-4392	153	29	=	=	SYM
ejpam-4392	153	30	(	(	PUNCT
ejpam-4392	153	31	a2	a2	PROPN
ejpam-4392	153	32	ab	ab	X
ejpam-4392	153	33	0	0	NUM
ejpam-4392	153	34	0	0	NUM
ejpam-4392	153	35	)	)	PUNCT
ejpam-4392	153	36	,	,	PUNCT
ejpam-4392	153	37	t	t	PROPN
ejpam-4392	153	38	∗3	∗3	PROPN
ejpam-4392	154	1	=	=	PRON
ejpam-4392	154	2	(	(	PUNCT
ejpam-4392	154	3	a∗3	a∗3	NOUN
ejpam-4392	154	4	0	0	NUM
ejpam-4392	154	5	b∗a∗2	b∗a∗2	X
ejpam-4392	154	6	0	0	NUM
ejpam-4392	154	7	)	)	PUNCT
ejpam-4392	154	8	,	,	PUNCT
ejpam-4392	154	9	v.	v.	PROPN
ejpam-4392	154	10	r.	r.	PROPN
ejpam-4392	154	11	hamiti	hamiti	PROPN
ejpam-4392	154	12	,	,	PUNCT
ejpam-4392	154	13	q.	q.	PROPN
ejpam-4392	154	14	d.	d.	PROPN
ejpam-4392	154	15	gjonbalaj	gjonbalaj	PROPN
ejpam-4392	154	16	/	/	SYM
ejpam-4392	154	17	eur	eur	PROPN
ejpam-4392	154	18	.	.	PUNCT
ejpam-4392	155	1	j.	j.	PROPN
ejpam-4392	155	2	pure	pure	PROPN
ejpam-4392	155	3	appl	appl	PROPN
ejpam-4392	155	4	.	.	PROPN
ejpam-4392	155	5	math	math	PROPN
ejpam-4392	155	6	,	,	PUNCT
ejpam-4392	155	7	15	15	NUM
ejpam-4392	155	8	(	(	PUNCT
ejpam-4392	155	9	3	3	NUM
ejpam-4392	155	10	)	)	PUNCT
ejpam-4392	155	11	(	(	PUNCT
ejpam-4392	155	12	2022	2022	NUM
ejpam-4392	155	13	)	)	PUNCT
ejpam-4392	155	14	,	,	PUNCT
ejpam-4392	155	15	830	830	NUM
ejpam-4392	155	16	-	-	SYM
ejpam-4392	155	17	840	840	NUM
ejpam-4392	155	18	838	838	NUM
ejpam-4392	155	19	t	t	NOUN
ejpam-4392	155	20	3	3	NUM
ejpam-4392	155	21	=	=	SYM
ejpam-4392	155	22	(	(	PUNCT
ejpam-4392	155	23	a3	a3	NOUN
ejpam-4392	155	24	a2b	a2b	PROPN
ejpam-4392	155	25	0	0	NUM
ejpam-4392	155	26	0	0	NUM
ejpam-4392	155	27	)	)	PUNCT
ejpam-4392	155	28	,	,	PUNCT
ejpam-4392	156	1	t	t	PROPN
ejpam-4392	156	2	∗3	∗3	NUM
ejpam-4392	156	3	t	t	PROPN
ejpam-4392	156	4	3	3	NUM
ejpam-4392	156	5	=	=	SYM
ejpam-4392	156	6	(	(	PUNCT
ejpam-4392	156	7	a∗3a3	a∗3a3	X
ejpam-4392	156	8	a∗3a2b	a∗3a2b	ADP
ejpam-4392	156	9	b∗a∗2a3	b∗a∗2a3	NUM
ejpam-4392	156	10	b∗a∗2a2b	b∗a∗2a2b	NOUN
ejpam-4392	156	11	)	)	PUNCT
ejpam-4392	156	12	.	.	PUNCT
ejpam-4392	157	1	m2	m2	PROPN
ejpam-4392	157	2	t	t	PROPN
ejpam-4392	157	3	∗3	∗3	PROPN
ejpam-4392	157	4	t	t	NOUN
ejpam-4392	157	5	3	3	NUM
ejpam-4392	157	6	−	−	NOUN
ejpam-4392	157	7	2kt	2kt	NOUN
ejpam-4392	157	8	∗2	∗2	PROPN
ejpam-4392	157	9	t	t	PROPN
ejpam-4392	157	10	2	2	NUM
ejpam-4392	157	11	+	+	SYM
ejpam-4392	157	12	k2	k2	PROPN
ejpam-4392	157	13	t	t	PROPN
ejpam-4392	157	14	∗t	∗t	PROPN
ejpam-4392	157	15	=	=	SYM
ejpam-4392	157	16	(	(	PUNCT
ejpam-4392	157	17	a∗(m2a∗2a2	a∗(m2a∗2a2	PROPN
ejpam-4392	157	18	−	−	PROPN
ejpam-4392	157	19	2ka∗a+	2ka∗a+	NUM
ejpam-4392	157	20	k2)a	k2)a	PROPN
ejpam-4392	157	21	a∗(m2a∗2a2	a∗(m2a∗2a2	PROPN
ejpam-4392	157	22	−	−	PROPN
ejpam-4392	157	23	2ka∗a+	2ka∗a+	NUM
ejpam-4392	157	24	k2)b	k2)b	ADJ
ejpam-4392	157	25	b∗(m2a∗2a2	b∗(m2a∗2a2	NOUN
ejpam-4392	157	26	−	−	PROPN
ejpam-4392	157	27	2ka∗a+	2ka∗a+	NUM
ejpam-4392	157	28	k2)a	k2)a	PROPN
ejpam-4392	157	29	b∗(m2a∗2a2	b∗(m2a∗2a2	NOUN
ejpam-4392	157	30	−	−	PROPN
ejpam-4392	157	31	2ka∗a+	2ka∗a+	NUM
ejpam-4392	157	32	k2)b	k2)b	NOUN
ejpam-4392	157	33	)	)	PUNCT
ejpam-4392	157	34	,	,	PUNCT
ejpam-4392	157	35	∀k	∀k	NOUN
ejpam-4392	157	36	>	>	X
ejpam-4392	157	37	0	0	X
ejpam-4392	157	38	.	.	PUNCT
ejpam-4392	157	39	let	let	VERB
ejpam-4392	157	40	u	u	NOUN
ejpam-4392	157	41	=	=	PROPN
ejpam-4392	157	42	x⊕	x⊕	PROPN
ejpam-4392	157	43	y	y	PROPN
ejpam-4392	157	44	∈	∈	PROPN
ejpam-4392	157	45	h	h	NOUN
ejpam-4392	157	46	⊕h	⊕h	NOUN
ejpam-4392	157	47	.	.	PUNCT
ejpam-4392	158	1	then	then	ADV
ejpam-4392	158	2	,	,	PUNCT
ejpam-4392	158	3	⟨(m2	⟨(m2	PROPN
ejpam-4392	158	4	t	t	PROPN
ejpam-4392	158	5	∗3	∗3	PROPN
ejpam-4392	158	6	t	t	NOUN
ejpam-4392	158	7	3	3	NUM
ejpam-4392	158	8	−	−	NOUN
ejpam-4392	158	9	2kt	2kt	NOUN
ejpam-4392	158	10	∗2	∗2	PROPN
ejpam-4392	158	11	t	t	PROPN
ejpam-4392	158	12	2	2	NUM
ejpam-4392	158	13	+	+	SYM
ejpam-4392	158	14	k2	k2	PROPN
ejpam-4392	158	15	t	t	PROPN
ejpam-4392	158	16	∗tu	∗tu	NOUN
ejpam-4392	158	17	,	,	PUNCT
ejpam-4392	158	18	u⟩	u⟩	NOUN
ejpam-4392	158	19	=	=	PUNCT
ejpam-4392	159	1	⟨a∗(m2a∗2a2	⟨a∗(m2a∗2a2	ADJ
ejpam-4392	159	2	−	−	PROPN
ejpam-4392	160	1	2ka∗a+	2ka∗a+	NUM
ejpam-4392	160	2	k2)ax	k2)ax	PROPN
ejpam-4392	160	3	,	,	PUNCT
ejpam-4392	160	4	x⟩+	x⟩+	PROPN
ejpam-4392	160	5	⟨a∗(m2a∗2a2	⟨a∗(m2a∗2a2	PROPN
ejpam-4392	160	6	−	−	PROPN
ejpam-4392	160	7	2ka∗a+	2ka∗a+	NUM
ejpam-4392	160	8	k2)by	k2)by	PROPN
ejpam-4392	160	9	,	,	PUNCT
ejpam-4392	160	10	x⟩	x⟩	PUNCT
ejpam-4392	161	1	+	+	CCONJ
ejpam-4392	161	2	⟨b∗(m2a∗2a2	⟨b∗(m2a∗2a2	ADJ
ejpam-4392	161	3	−	−	PROPN
ejpam-4392	161	4	2ka∗a+	2ka∗a+	NUM
ejpam-4392	161	5	k2)ax	k2)ax	NOUN
ejpam-4392	161	6	,	,	PUNCT
ejpam-4392	161	7	y⟩+	y⟩+	X
ejpam-4392	161	8	⟨b∗(m2a∗2a2	⟨b∗(m2a∗2a2	NOUN
ejpam-4392	161	9	−	−	PROPN
ejpam-4392	161	10	2ka∗a+	2ka∗a+	NUM
ejpam-4392	161	11	k2)by	k2)by	NOUN
ejpam-4392	161	12	,	,	PUNCT
ejpam-4392	161	13	y⟩	y⟩	NOUN
ejpam-4392	161	14	=	=	PUNCT
ejpam-4392	161	15	⟨(m2a∗2a2	⟨(m2a∗2a2	PROPN
ejpam-4392	161	16	−	−	PROPN
ejpam-4392	161	17	2ka∗a+	2ka∗a+	NUM
ejpam-4392	161	18	k2)ax	k2)ax	PROPN
ejpam-4392	161	19	,	,	PUNCT
ejpam-4392	161	20	ax⟩+	ax⟩+	PROPN
ejpam-4392	161	21	⟨(m2a∗2a2	⟨(m2a∗2a2	NUM
ejpam-4392	161	22	−	−	PROPN
ejpam-4392	161	23	2ka∗a+	2ka∗a+	NUM
ejpam-4392	161	24	k2)by	k2)by	NOUN
ejpam-4392	161	25	,	,	PUNCT
ejpam-4392	161	26	ax⟩	ax⟩	VERB
ejpam-4392	162	1	+	+	CCONJ
ejpam-4392	163	1	⟨(m2a∗2a2	⟨(m2a∗2a2	NUM
ejpam-4392	163	2	−	−	PROPN
ejpam-4392	163	3	2ka∗a+	2ka∗a+	NUM
ejpam-4392	163	4	k2)ax	k2)ax	PROPN
ejpam-4392	163	5	,	,	PUNCT
ejpam-4392	163	6	by⟩+	by⟩+	PROPN
ejpam-4392	163	7	⟨(m2a∗2a2	⟨(m2a∗2a2	PROPN
ejpam-4392	163	8	−	−	PROPN
ejpam-4392	163	9	2ka∗a+	2ka∗a+	NUM
ejpam-4392	163	10	k2)by	k2)by	NOUN
ejpam-4392	163	11	,	,	PUNCT
ejpam-4392	163	12	by⟩	by⟩	PUNCT
ejpam-4392	163	13	=	=	SYM
ejpam-4392	163	14	⟨(m2a∗2a2	⟨(m2a∗2a2	PROPN
ejpam-4392	163	15	−	−	PROPN
ejpam-4392	163	16	2ka∗a+	2ka∗a+	NUM
ejpam-4392	163	17	k2)(ax+by	k2)(ax+by	NOUN
ejpam-4392	163	18	)	)	PUNCT
ejpam-4392	163	19	,	,	PUNCT
ejpam-4392	163	20	(	(	PUNCT
ejpam-4392	163	21	ax+by)⟩	ax+by)⟩	PROPN
ejpam-4392	163	22	≥	≥	NOUN
ejpam-4392	163	23	0,∀k	0,∀k	PUNCT
ejpam-4392	163	24	>	>	X
ejpam-4392	163	25	0	0	PUNCT
ejpam-4392	163	26	because	because	SCONJ
ejpam-4392	163	27	a	a	PRON
ejpam-4392	163	28	is	be	AUX
ejpam-4392	163	29	a	a	DET
ejpam-4392	163	30	m−paranormal	m−paranormal	ADJ
ejpam-4392	163	31	operator	operator	NOUN
ejpam-4392	163	32	this	this	PRON
ejpam-4392	163	33	prove	prove	VERB
ejpam-4392	163	34	that	that	SCONJ
ejpam-4392	163	35	t	t	PROPN
ejpam-4392	163	36	is	be	AUX
ejpam-4392	163	37	a	a	DET
ejpam-4392	163	38	m−quasi	m−quasi	NOUN
ejpam-4392	163	39	paranormal	paranormal	ADJ
ejpam-4392	163	40	operator	operator	NOUN
ejpam-4392	163	41	.	.	PUNCT
ejpam-4392	164	1	proposition	proposition	NOUN
ejpam-4392	164	2	10	10	NUM
ejpam-4392	164	3	.	.	PUNCT
ejpam-4392	165	1	let	let	VERB
ejpam-4392	165	2	t	t	PROPN
ejpam-4392	165	3	be	be	AUX
ejpam-4392	165	4	a	a	DET
ejpam-4392	165	5	m−quasi	m−quasi	NOUN
ejpam-4392	165	6	paranormal	paranormal	ADJ
ejpam-4392	165	7	operator	operator	NOUN
ejpam-4392	165	8	,	,	PUNCT
ejpam-4392	165	9	the	the	DET
ejpam-4392	165	10	range	range	NOUN
ejpam-4392	165	11	of	of	ADP
ejpam-4392	165	12	t	t	PROPN
ejpam-4392	165	13	not	not	PART
ejpam-4392	165	14	to	to	PART
ejpam-4392	165	15	be	be	AUX
ejpam-4392	165	16	dense	dense	ADJ
ejpam-4392	165	17	,	,	PUNCT
ejpam-4392	165	18	and	and	CCONJ
ejpam-4392	165	19	t	t	X
ejpam-4392	165	20	=	=	SYM
ejpam-4392	165	21	(	(	PUNCT
ejpam-4392	165	22	a	a	DET
ejpam-4392	165	23	b	b	X
ejpam-4392	165	24	o	o	X
ejpam-4392	165	25	c	c	NOUN
ejpam-4392	165	26	)	)	PUNCT
ejpam-4392	165	27	on	on	ADP
ejpam-4392	165	28	h	h	PROPN
ejpam-4392	165	29	=	=	SYM
ejpam-4392	165	30	t	t	PROPN
ejpam-4392	165	31	(	(	PUNCT
ejpam-4392	165	32	h)⊕	h)⊕	PROPN
ejpam-4392	165	33	kert	kert	PROPN
ejpam-4392	165	34	∗.	∗.	PROPN
ejpam-4392	165	35	then	then	ADV
ejpam-4392	165	36	,	,	PUNCT
ejpam-4392	165	37	a	a	PRON
ejpam-4392	165	38	is	be	AUX
ejpam-4392	165	39	a	a	DET
ejpam-4392	165	40	m−paranormal	m−paranormal	ADJ
ejpam-4392	165	41	operator	operator	NOUN
ejpam-4392	165	42	on	on	ADP
ejpam-4392	165	43	t	t	PROPN
ejpam-4392	165	44	(	(	PUNCT
ejpam-4392	165	45	h	h	NOUN
ejpam-4392	165	46	)	)	PUNCT
ejpam-4392	165	47	,	,	PUNCT
ejpam-4392	165	48	c	c	X
ejpam-4392	165	49	=	=	SYM
ejpam-4392	165	50	o	o	PROPN
ejpam-4392	165	51	and	and	CCONJ
ejpam-4392	165	52	σ(t	σ(t	PROPN
ejpam-4392	165	53	)	)	PUNCT
ejpam-4392	166	1	=	=	SYM
ejpam-4392	166	2	σ(a	σ(a	PROPN
ejpam-4392	166	3	)	)	PUNCT
ejpam-4392	166	4	∪	∪	NOUN
ejpam-4392	166	5	{	{	PUNCT
ejpam-4392	166	6	0	0	NUM
ejpam-4392	166	7	}	}	PUNCT
ejpam-4392	166	8	.	.	PUNCT
ejpam-4392	167	1	proof	proof	NOUN
ejpam-4392	167	2	.	.	PUNCT
ejpam-4392	168	1	suppose	suppose	VERB
ejpam-4392	168	2	that	that	SCONJ
ejpam-4392	168	3	t	t	PROPN
ejpam-4392	168	4	is	be	AUX
ejpam-4392	168	5	a	a	DET
ejpam-4392	168	6	m−quasi	m−quasi	NOUN
ejpam-4392	168	7	paranormal	paranormal	ADJ
ejpam-4392	168	8	operator	operator	NOUN
ejpam-4392	168	9	.	.	PUNCT
ejpam-4392	169	1	since	since	SCONJ
ejpam-4392	169	2	that	that	DET
ejpam-4392	169	3	t	t	NOUN
ejpam-4392	169	4	does	do	AUX
ejpam-4392	169	5	not	not	PART
ejpam-4392	169	6	have	have	VERB
ejpam-4392	169	7	dense	dense	ADJ
ejpam-4392	169	8	range	range	NOUN
ejpam-4392	169	9	,	,	PUNCT
ejpam-4392	169	10	we	we	PRON
ejpam-4392	169	11	can	can	AUX
ejpam-4392	169	12	represent	represent	VERB
ejpam-4392	169	13	t	t	PROPN
ejpam-4392	169	14	as	as	ADP
ejpam-4392	169	15	the	the	DET
ejpam-4392	169	16	upper	upper	ADJ
ejpam-4392	169	17	triangular	triangular	NOUN
ejpam-4392	169	18	matrix	matrix	NOUN
ejpam-4392	169	19	:	:	PUNCT
ejpam-4392	169	20	t	t	NOUN
ejpam-4392	169	21	=	=	SYM
ejpam-4392	169	22	(	(	PUNCT
ejpam-4392	169	23	a	a	DET
ejpam-4392	169	24	b	b	NOUN
ejpam-4392	169	25	0	0	NUM
ejpam-4392	169	26	c	c	NOUN
ejpam-4392	169	27	)	)	PUNCT
ejpam-4392	169	28	on	on	ADP
ejpam-4392	169	29	h	h	NOUN
ejpam-4392	169	30	=	=	SYM
ejpam-4392	169	31	t	t	PROPN
ejpam-4392	169	32	(	(	PUNCT
ejpam-4392	169	33	h)⊕	h)⊕	PROPN
ejpam-4392	169	34	kert	kert	PROPN
ejpam-4392	169	35	∗.	∗.	PROPN
ejpam-4392	169	36	since	since	SCONJ
ejpam-4392	169	37	t	t	PROPN
ejpam-4392	169	38	is	be	AUX
ejpam-4392	169	39	a	a	DET
ejpam-4392	169	40	m−quasi	m−quasi	NOUN
ejpam-4392	169	41	paranormal	paranormal	ADJ
ejpam-4392	169	42	operator	operator	NOUN
ejpam-4392	169	43	,	,	PUNCT
ejpam-4392	169	44	we	we	PRON
ejpam-4392	169	45	have	have	VERB
ejpam-4392	169	46	m2	m2	PROPN
ejpam-4392	169	47	t	t	PROPN
ejpam-4392	169	48	∗3	∗3	PROPN
ejpam-4392	169	49	t	t	NOUN
ejpam-4392	169	50	3	3	NUM
ejpam-4392	170	1	−	−	NOUN
ejpam-4392	170	2	2kt	2kt	NOUN
ejpam-4392	170	3	∗2	∗2	PROPN
ejpam-4392	170	4	t	t	PROPN
ejpam-4392	170	5	2	2	NUM
ejpam-4392	170	6	+	+	SYM
ejpam-4392	170	7	k2	k2	PROPN
ejpam-4392	170	8	t	t	PROPN
ejpam-4392	170	9	∗t	∗t	PROPN
ejpam-4392	170	10	≥	≥	NUM
ejpam-4392	170	11	0,∀k	0,∀k	PUNCT
ejpam-4392	170	12	>	>	SYM
ejpam-4392	170	13	0	0	PUNCT
ejpam-4392	170	14	⇒	⇒	PROPN
ejpam-4392	170	15	t	t	PROPN
ejpam-4392	170	16	∗(m2	∗(m2	PROPN
ejpam-4392	170	17	t	t	PROPN
ejpam-4392	170	18	∗2	∗2	PROPN
ejpam-4392	170	19	t	t	PROPN
ejpam-4392	170	20	2	2	NUM
ejpam-4392	170	21	−	−	NOUN
ejpam-4392	170	22	2kt	2kt	ADJ
ejpam-4392	171	1	∗t	∗t	PROPN
ejpam-4392	171	2	+	+	CCONJ
ejpam-4392	171	3	k2)t	k2)t	PROPN
ejpam-4392	171	4	≥	≥	NUM
ejpam-4392	171	5	0,∀k	0,∀k	PUNCT
ejpam-4392	171	6	>	>	X
ejpam-4392	171	7	0	0	X
ejpam-4392	171	8	.	.	PUNCT
ejpam-4392	172	1	therefore	therefore	ADV
ejpam-4392	172	2	,	,	PUNCT
ejpam-4392	172	3	after	after	ADP
ejpam-4392	172	4	some	some	DET
ejpam-4392	172	5	calculation	calculation	NOUN
ejpam-4392	172	6	similar	similar	ADJ
ejpam-4392	172	7	as	as	ADP
ejpam-4392	172	8	in	in	ADP
ejpam-4392	172	9	proposition	proposition	NOUN
ejpam-4392	172	10	9	9	NUM
ejpam-4392	172	11	we	we	PRON
ejpam-4392	172	12	get	get	VERB
ejpam-4392	172	13	:	:	PUNCT
ejpam-4392	172	14	⟨(m2	⟨(m2	PROPN
ejpam-4392	172	15	t	t	PROPN
ejpam-4392	172	16	∗2	∗2	PROPN
ejpam-4392	172	17	t	t	PROPN
ejpam-4392	172	18	2	2	NUM
ejpam-4392	172	19	−	−	NOUN
ejpam-4392	172	20	2kt	2kt	ADJ
ejpam-4392	173	1	∗t	∗t	PROPN
ejpam-4392	173	2	+	+	CCONJ
ejpam-4392	173	3	k2)x	k2)x	ADJ
ejpam-4392	173	4	,	,	PUNCT
ejpam-4392	173	5	x⟩	x⟩	PUNCT
ejpam-4392	174	1	=	=	SYM
ejpam-4392	174	2	⟨(m2a∗2a2	⟨(m2a∗2a2	PROPN
ejpam-4392	174	3	−	−	PROPN
ejpam-4392	174	4	2ka∗a+	2ka∗a+	NUM
ejpam-4392	174	5	k2)y	k2)y	NOUN
ejpam-4392	174	6	,	,	PUNCT
ejpam-4392	174	7	y⟩	y⟩	NOUN
ejpam-4392	174	8	≥	≥	PROPN
ejpam-4392	174	9	0	0	NUM
ejpam-4392	174	10	,	,	PUNCT
ejpam-4392	174	11	∀y	∀y	PROPN
ejpam-4392	174	12	∈	∈	PROPN
ejpam-4392	174	13	t	t	NOUN
ejpam-4392	174	14	(	(	PUNCT
ejpam-4392	174	15	h),∀k	h),∀k	PROPN
ejpam-4392	174	16	>	>	X
ejpam-4392	174	17	0	0	X
ejpam-4392	174	18	.	.	PUNCT
ejpam-4392	174	19	references	reference	NOUN
ejpam-4392	174	20	839	839	NUM
ejpam-4392	174	21	hence	hence	ADV
ejpam-4392	174	22	m2a∗2a2	m2a∗2a2	ADJ
ejpam-4392	174	23	−	−	PROPN
ejpam-4392	174	24	2ka∗a+	2ka∗a+	PROPN
ejpam-4392	174	25	k2	k2	X
ejpam-4392	174	26	≥	≥	NOUN
ejpam-4392	174	27	0	0	NUM
ejpam-4392	174	28	,	,	PUNCT
ejpam-4392	174	29	∀k	∀k	NOUN
ejpam-4392	174	30	>	>	X
ejpam-4392	174	31	0	0	NUM
ejpam-4392	174	32	.	.	PUNCT
ejpam-4392	175	1	this	this	PRON
ejpam-4392	175	2	shows	show	VERB
ejpam-4392	175	3	that	that	SCONJ
ejpam-4392	175	4	a	a	PRON
ejpam-4392	175	5	is	be	AUX
ejpam-4392	175	6	a	a	DET
ejpam-4392	175	7	m−paranormal	m−paranormal	ADJ
ejpam-4392	175	8	operator	operator	NOUN
ejpam-4392	175	9	,	,	PUNCT
ejpam-4392	175	10	on	on	ADP
ejpam-4392	175	11	t	t	PROPN
ejpam-4392	175	12	(	(	PUNCT
ejpam-4392	175	13	h	h	NOUN
ejpam-4392	175	14	)	)	PUNCT
ejpam-4392	175	15	.	.	PUNCT
ejpam-4392	176	1	let	let	VERB
ejpam-4392	176	2	p	p	PRON
ejpam-4392	176	3	be	be	AUX
ejpam-4392	176	4	the	the	DET
ejpam-4392	176	5	orthogonal	orthogonal	ADJ
ejpam-4392	176	6	projection	projection	NOUN
ejpam-4392	176	7	of	of	ADP
ejpam-4392	176	8	h	h	NOUN
ejpam-4392	176	9	onto	onto	ADP
ejpam-4392	176	10	t	t	PROPN
ejpam-4392	176	11	(	(	PUNCT
ejpam-4392	176	12	h	h	NOUN
ejpam-4392	176	13	)	)	PUNCT
ejpam-4392	176	14	.	.	PUNCT
ejpam-4392	177	1	for	for	ADP
ejpam-4392	177	2	any	any	PRON
ejpam-4392	177	3	x	x	SYM
ejpam-4392	177	4	=	=	SYM
ejpam-4392	177	5	(	(	PUNCT
ejpam-4392	177	6	x1	x1	PROPN
ejpam-4392	177	7	x2	x2	PROPN
ejpam-4392	177	8	)	)	PUNCT
ejpam-4392	177	9	∈	∈	PROPN
ejpam-4392	177	10	h	h	NOUN
ejpam-4392	177	11	=	=	SYM
ejpam-4392	177	12	t	t	PROPN
ejpam-4392	177	13	(	(	PUNCT
ejpam-4392	177	14	h)⊕	h)⊕	PROPN
ejpam-4392	177	15	kert	kert	PROPN
ejpam-4392	177	16	∗.	∗.	PROPN
ejpam-4392	177	17	then	then	ADV
ejpam-4392	177	18	⟨cx2	⟨cx2	PROPN
ejpam-4392	177	19	,	,	PUNCT
ejpam-4392	177	20	x2⟩	x2⟩	PUNCT
ejpam-4392	177	21	=	=	SYM
ejpam-4392	177	22	⟨t	⟨t	X
ejpam-4392	177	23	(	(	PUNCT
ejpam-4392	177	24	i	i	PRON
ejpam-4392	177	25	−	−	PROPN
ejpam-4392	177	26	p	p	NOUN
ejpam-4392	177	27	)	)	PUNCT
ejpam-4392	177	28	x	x	NOUN
ejpam-4392	177	29	,	,	PUNCT
ejpam-4392	177	30	(	(	PUNCT
ejpam-4392	177	31	i	i	PRON
ejpam-4392	177	32	−	−	PROPN
ejpam-4392	177	33	p	p	NOUN
ejpam-4392	177	34	)	)	PUNCT
ejpam-4392	177	35	x⟩	x⟩	PUNCT
ejpam-4392	178	1	=	=	SYM
ejpam-4392	178	2	⟨(i	⟨(i	PROPN
ejpam-4392	179	1	−	−	PROPN
ejpam-4392	179	2	p	p	PROPN
ejpam-4392	179	3	)	)	PUNCT
ejpam-4392	179	4	x	x	PROPN
ejpam-4392	179	5	,	,	PUNCT
ejpam-4392	179	6	t	t	PROPN
ejpam-4392	179	7	∗(i	∗(i	PROPN
ejpam-4392	179	8	−	−	PROPN
ejpam-4392	179	9	p	p	NOUN
ejpam-4392	179	10	)	)	PUNCT
ejpam-4392	179	11	x⟩	x⟩	PUNCT
ejpam-4392	180	1	=	=	PUNCT
ejpam-4392	180	2	0	0	X
ejpam-4392	180	3	.	.	PUNCT
ejpam-4392	181	1	thus	thus	ADV
ejpam-4392	181	2	t	t	X
ejpam-4392	181	3	∗	∗	NOUN
ejpam-4392	181	4	=	=	SYM
ejpam-4392	181	5	0	0	X
ejpam-4392	181	6	.	.	PUNCT
ejpam-4392	182	1	since	since	SCONJ
ejpam-4392	182	2	σ(a)∪σ(c	σ(a)∪σ(c	NUM
ejpam-4392	182	3	)	)	PUNCT
ejpam-4392	182	4	=	=	SYM
ejpam-4392	182	5	σ(t	σ(t	PROPN
ejpam-4392	182	6	)	)	PUNCT
ejpam-4392	182	7	∪ϑ	∪ϑ	PROPN
ejpam-4392	182	8	,	,	PUNCT
ejpam-4392	182	9	where	where	SCONJ
ejpam-4392	182	10	ϑ	ϑ	PROPN
ejpam-4392	182	11	is	be	AUX
ejpam-4392	182	12	the	the	DET
ejpam-4392	182	13	union	union	NOUN
ejpam-4392	182	14	of	of	ADP
ejpam-4392	182	15	the	the	DET
ejpam-4392	182	16	holes	hole	NOUN
ejpam-4392	182	17	in	in	ADP
ejpam-4392	182	18	σ(t	σ(t	PROPN
ejpam-4392	182	19	)	)	PUNCT
ejpam-4392	182	20	,	,	PUNCT
ejpam-4392	182	21	which	which	PRON
ejpam-4392	182	22	happen	happen	VERB
ejpam-4392	182	23	to	to	PART
ejpam-4392	182	24	be	be	AUX
ejpam-4392	182	25	a	a	DET
ejpam-4392	182	26	subset	subset	NOUN
ejpam-4392	182	27	of	of	ADP
ejpam-4392	182	28	σ(a)∩σ(c	σ(a)∩σ(c	PROPN
ejpam-4392	182	29	)	)	PUNCT
ejpam-4392	182	30	by	by	ADP
ejpam-4392	182	31	[	[	X
ejpam-4392	182	32	7	7	NUM
ejpam-4392	182	33	,	,	PUNCT
ejpam-4392	182	34	corollary	corollary	ADJ
ejpam-4392	182	35	7	7	NUM
ejpam-4392	182	36	]	]	PUNCT
ejpam-4392	182	37	.	.	PUNCT
ejpam-4392	183	1	since	since	SCONJ
ejpam-4392	183	2	σ(a)∩σ(c	σ(a)∩σ(c	PROPN
ejpam-4392	183	3	)	)	PUNCT
ejpam-4392	183	4	has	have	VERB
ejpam-4392	183	5	no	no	DET
ejpam-4392	183	6	interior	interior	ADJ
ejpam-4392	183	7	points	point	NOUN
ejpam-4392	183	8	,	,	PUNCT
ejpam-4392	183	9	then	then	ADV
ejpam-4392	183	10	σ(t	σ(t	X
ejpam-4392	183	11	)	)	PUNCT
ejpam-4392	184	1	=	=	SYM
ejpam-4392	184	2	σ(a	σ(a	PROPN
ejpam-4392	184	3	)	)	PUNCT
ejpam-4392	184	4	∪	∪	ADP
ejpam-4392	184	5	σ(c	σ(c	PROPN
ejpam-4392	184	6	)	)	PUNCT
ejpam-4392	184	7	=	=	SYM
ejpam-4392	185	1	σ(a	σ(a	PROPN
ejpam-4392	185	2	)	)	PUNCT
ejpam-4392	185	3	∪	∪	ADP
ejpam-4392	185	4	{	{	PUNCT
ejpam-4392	185	5	0	0	NUM
ejpam-4392	185	6	}	}	PUNCT
ejpam-4392	185	7	and	and	CCONJ
ejpam-4392	185	8	ck	ck	NOUN
ejpam-4392	185	9	=	=	NOUN
ejpam-4392	185	10	0	0	PROPN
ejpam-4392	185	11	.	.	PUNCT
ejpam-4392	185	12	references	reference	NOUN
ejpam-4392	186	1	[	[	X
ejpam-4392	186	2	1	1	X
ejpam-4392	186	3	]	]	PUNCT
ejpam-4392	186	4	s.	s.	PROPN
ejpam-4392	186	5	c.	c.	PROPN
ejpam-4392	186	6	arora	arora	PROPN
ejpam-4392	186	7	and	and	CCONJ
ejpam-4392	186	8	r.	r.	PROPN
ejpam-4392	186	9	kumar	kumar	PROPN
ejpam-4392	186	10	.	.	PUNCT
ejpam-4392	187	1	m−	m−	PROPN
ejpam-4392	187	2	paranormal	paranormal	PROPN
ejpam-4392	187	3	operators	operator	NOUN
ejpam-4392	187	4	.	.	PUNCT
ejpam-4392	188	1	publications	publication	NOUN
ejpam-4392	188	2	de	de	X
ejpam-4392	188	3	l’institut	l’institut	PROPN
ejpam-4392	188	4	mathematique	mathematique	NOUN
ejpam-4392	188	5	,	,	PUNCT
ejpam-4392	188	6	29(49):5–13	29(49):5–13	NUM
ejpam-4392	188	7	,	,	PUNCT
ejpam-4392	188	8	1981	1981	NUM
ejpam-4392	188	9	.	.	PUNCT
ejpam-4392	189	1	[	[	X
ejpam-4392	189	2	2	2	NUM
ejpam-4392	189	3	]	]	X
ejpam-4392	189	4	n.	n.	PROPN
ejpam-4392	189	5	l.	l.	PROPN
ejpam-4392	189	6	braha	braha	PROPN
ejpam-4392	189	7	,	,	PUNCT
ejpam-4392	189	8	m.lohaj	m.lohaj	X
ejpam-4392	189	9	,	,	PUNCT
ejpam-4392	189	10	f.h	f.h	PROPN
ejpam-4392	189	11	.	.	PROPN
ejpam-4392	189	12	marevci	marevci	PROPN
ejpam-4392	189	13	,	,	PUNCT
ejpam-4392	189	14	and	and	CCONJ
ejpam-4392	189	15	sh.lohaj	sh.lohaj	X
ejpam-4392	189	16	.	.	PUNCT
ejpam-4392	190	1	some	some	DET
ejpam-4392	190	2	properties	property	NOUN
ejpam-4392	190	3	of	of	ADP
ejpam-4392	190	4	paranormal	paranormal	ADJ
ejpam-4392	190	5	and	and	CCONJ
ejpam-4392	190	6	hyponormal	hyponormal	ADJ
ejpam-4392	190	7	operators	operator	NOUN
ejpam-4392	190	8	.	.	PUNCT
ejpam-4392	191	1	bulletin	bulletin	NOUN
ejpam-4392	191	2	of	of	ADP
ejpam-4392	191	3	mathematical	mathematical	ADJ
ejpam-4392	191	4	analysis	analysis	NOUN
ejpam-4392	191	5	and	and	CCONJ
ejpam-4392	191	6	applications	application	NOUN
ejpam-4392	191	7	,	,	PUNCT
ejpam-4392	191	8	1(2):23	1(2):23	NUM
ejpam-4392	191	9	–	–	PUNCT
ejpam-4392	191	10	35	35	NUM
ejpam-4392	191	11	,	,	PUNCT
ejpam-4392	191	12	2009	2009	NUM
ejpam-4392	191	13	.	.	PUNCT
ejpam-4392	192	1	[	[	X
ejpam-4392	192	2	3	3	X
ejpam-4392	192	3	]	]	PUNCT
ejpam-4392	192	4	p.	p.	NOUN
ejpam-4392	192	5	dharmarha	dharmarha	PROPN
ejpam-4392	192	6	and	and	CCONJ
ejpam-4392	192	7	s.	s.	PROPN
ejpam-4392	192	8	ram	ram	PROPN
ejpam-4392	192	9	.	.	PUNCT
ejpam-4392	193	1	(	(	PUNCT
ejpam-4392	193	2	m	m	PROPN
ejpam-4392	193	3	,	,	PUNCT
ejpam-4392	193	4	n)−paranormal	n)−paranormal	PROPN
ejpam-4392	193	5	operators	operator	NOUN
ejpam-4392	193	6	and	and	CCONJ
ejpam-4392	193	7	(	(	PUNCT
ejpam-4392	193	8	m	m	PROPN
ejpam-4392	193	9	,	,	PUNCT
ejpam-4392	193	10	n)∗−paranormal	n)∗−paranormal	ADJ
ejpam-4392	193	11	operators	operator	NOUN
ejpam-4392	193	12	.	.	PUNCT
ejpam-4392	194	1	commun	commun	PROPN
ejpam-4392	194	2	.	.	PUNCT
ejpam-4392	195	1	korean	korean	ADJ
ejpam-4392	195	2	math	math	PROPN
ejpam-4392	195	3	.	.	PUNCT
ejpam-4392	196	1	soc	soc	PROPN
ejpam-4392	196	2	.	.	PUNCT
ejpam-4392	196	3	,	,	PUNCT
ejpam-4392	196	4	35(1):151–159	35(1):151–159	PROPN
ejpam-4392	196	5	,	,	PUNCT
ejpam-4392	196	6	2020	2020	NUM
ejpam-4392	196	7	.	.	PUNCT
ejpam-4392	197	1	[	[	X
ejpam-4392	197	2	4	4	X
ejpam-4392	197	3	]	]	PUNCT
ejpam-4392	197	4	t.	t.	PROPN
ejpam-4392	197	5	furuta	furuta	PROPN
ejpam-4392	197	6	.	.	PUNCT
ejpam-4392	198	1	on	on	ADP
ejpam-4392	198	2	the	the	DET
ejpam-4392	198	3	class	class	NOUN
ejpam-4392	198	4	of	of	ADP
ejpam-4392	198	5	paranormal	paranormal	ADJ
ejpam-4392	198	6	operators	operator	NOUN
ejpam-4392	198	7	.	.	PUNCT
ejpam-4392	199	1	proc	proc	NOUN
ejpam-4392	199	2	.	.	PUNCT
ejpam-4392	200	1	jap	jap	PROPN
ejpam-4392	200	2	.	.	PUNCT
ejpam-4392	200	3	acad	acad	PROPN
ejpam-4392	200	4	.	.	PROPN
ejpam-4392	200	5	,	,	PUNCT
ejpam-4392	200	6	43(7):594	43(7):594	NUM
ejpam-4392	200	7	–	–	PUNCT
ejpam-4392	200	8	598	598	NUM
ejpam-4392	200	9	,	,	PUNCT
ejpam-4392	200	10	1967	1967	NUM
ejpam-4392	200	11	.	.	PUNCT
ejpam-4392	201	1	[	[	X
ejpam-4392	201	2	5	5	X
ejpam-4392	201	3	]	]	PUNCT
ejpam-4392	201	4	t.	t.	PROPN
ejpam-4392	201	5	furuta	furuta	PROPN
ejpam-4392	201	6	.	.	PUNCT
ejpam-4392	202	1	invitation	invitation	NOUN
ejpam-4392	202	2	to	to	AUX
ejpam-4392	202	3	linear	linear	VERB
ejpam-4392	202	4	operators	operator	NOUN
ejpam-4392	202	5	.	.	PUNCT
ejpam-4392	203	1	taylor	taylor	PROPN
ejpam-4392	203	2	&	&	CCONJ
ejpam-4392	203	3	francis	francis	PROPN
ejpam-4392	203	4	,	,	PUNCT
ejpam-4392	203	5	2001	2001	NUM
ejpam-4392	203	6	.	.	PUNCT
ejpam-4392	204	1	[	[	X
ejpam-4392	204	2	6	6	NUM
ejpam-4392	204	3	]	]	PUNCT
ejpam-4392	204	4	p.	p.	PROPN
ejpam-4392	204	5	r.	r.	PROPN
ejpam-4392	204	6	halmos	halmos	PROPN
ejpam-4392	204	7	.	.	PUNCT
ejpam-4392	205	1	a	a	DET
ejpam-4392	205	2	hilbert	hilbert	PROPN
ejpam-4392	205	3	space	space	NOUN
ejpam-4392	205	4	problem	problem	NOUN
ejpam-4392	205	5	book	book	NOUN
ejpam-4392	205	6	.	.	PUNCT
ejpam-4392	206	1	moska	moska	PROPN
ejpam-4392	206	2	,	,	PUNCT
ejpam-4392	206	3	1970	1970	NUM
ejpam-4392	206	4	.	.	PUNCT
ejpam-4392	207	1	[	[	X
ejpam-4392	207	2	7	7	X
ejpam-4392	207	3	]	]	PUNCT
ejpam-4392	207	4	j.	j.	PROPN
ejpam-4392	207	5	k.	k.	PROPN
ejpam-4392	207	6	han	han	PROPN
ejpam-4392	207	7	,	,	PUNCT
ejpam-4392	207	8	h.	h.	PROPN
ejpam-4392	207	9	y.	y.	PROPN
ejpam-4392	207	10	lee	lee	PROPN
ejpam-4392	207	11	,	,	PUNCT
ejpam-4392	207	12	and	and	CCONJ
ejpam-4392	207	13	w.	w.	PROPN
ejpam-4392	207	14	y.	y.	PROPN
ejpam-4392	207	15	lee	lee	PROPN
ejpam-4392	207	16	.	.	PUNCT
ejpam-4392	208	1	invertible	invertible	ADJ
ejpam-4392	208	2	completions	completion	NOUN
ejpam-4392	208	3	of	of	ADP
ejpam-4392	208	4	2×2	2×2	NUM
ejpam-4392	208	5	upper	upper	ADJ
ejpam-4392	208	6	triangular	triangular	NOUN
ejpam-4392	208	7	operator	operator	NOUN
ejpam-4392	208	8	matrices	matrix	NOUN
ejpam-4392	208	9	.	.	PUNCT
ejpam-4392	209	1	proc	proc	PROPN
ejpam-4392	209	2	.	.	PUNCT
ejpam-4392	210	1	amer	amer	PROPN
ejpam-4392	210	2	.	.	PUNCT
ejpam-4392	210	3	math	math	PROPN
ejpam-4392	210	4	.	.	PUNCT
ejpam-4392	211	1	soc	soc	PROPN
ejpam-4392	211	2	.	.	PUNCT
ejpam-4392	211	3	,	,	PUNCT
ejpam-4392	211	4	128(1):119–123	128(1):119–123	NUM
ejpam-4392	211	5	,	,	PUNCT
ejpam-4392	211	6	2000	2000	NUM
ejpam-4392	211	7	.	.	PUNCT
ejpam-4392	212	1	[	[	X
ejpam-4392	212	2	8	8	NUM
ejpam-4392	212	3	]	]	X
ejpam-4392	212	4	m.	m.	NOUN
ejpam-4392	212	5	m.	m.	NOUN
ejpam-4392	212	6	kutkut	kutkut	PROPN
ejpam-4392	212	7	and	and	CCONJ
ejpam-4392	212	8	b.	b.	PROPN
ejpam-4392	212	9	kashkari	kashkari	PROPN
ejpam-4392	212	10	.	.	PUNCT
ejpam-4392	213	1	on	on	ADP
ejpam-4392	213	2	the	the	DET
ejpam-4392	213	3	class	class	NOUN
ejpam-4392	213	4	of	of	ADP
ejpam-4392	213	5	class	class	NOUN
ejpam-4392	213	6	m	m	PROPN
ejpam-4392	213	7	-paranormal	-paranormal	ADJ
ejpam-4392	213	8	(	(	PUNCT
ejpam-4392	213	9	m∗-paranormal	m∗-paranormal	NOUN
ejpam-4392	213	10	)	)	PUNCT
ejpam-4392	213	11	operators	operator	NOUN
ejpam-4392	213	12	.	.	PUNCT
ejpam-4392	214	1	m.	m.	PROPN
ejpam-4392	214	2	sci	sci	PROPN
ejpam-4392	214	3	.	.	PUNCT
ejpam-4392	214	4	bull	bull	PROPN
ejpam-4392	214	5	.	.	PUNCT
ejpam-4392	215	1	(	(	PUNCT
ejpam-4392	215	2	nat	nat	PROPN
ejpam-4392	215	3	.	.	PUNCT
ejpam-4392	215	4	sci	sci	PROPN
ejpam-4392	215	5	)	)	PUNCT
ejpam-4392	215	6	,	,	PUNCT
ejpam-4392	215	7	20(2	20(2	NUM
ejpam-4392	215	8	)	)	PUNCT
ejpam-4392	215	9	,	,	PUNCT
ejpam-4392	215	10	1993	1993	NUM
ejpam-4392	215	11	.	.	PUNCT
ejpam-4392	216	1	[	[	X
ejpam-4392	216	2	9	9	NUM
ejpam-4392	216	3	]	]	PUNCT
ejpam-4392	216	4	s.	s.	PROPN
ejpam-4392	216	5	panayappan	panayappan	PROPN
ejpam-4392	216	6	,	,	PUNCT
ejpam-4392	216	7	d.	d.	PROPN
ejpam-4392	216	8	senthilkumar	senthilkumar	PROPN
ejpam-4392	216	9	,	,	PUNCT
ejpam-4392	216	10	and	and	CCONJ
ejpam-4392	216	11	r.	r.	PROPN
ejpam-4392	216	12	mohanraj	mohanraj	PROPN
ejpam-4392	216	13	.	.	PUNCT
ejpam-4392	217	1	m−quasihyponormal	m−quasihyponormal	ADJ
ejpam-4392	217	2	composition	composition	NOUN
ejpam-4392	217	3	operators	operator	NOUN
ejpam-4392	217	4	on	on	ADP
ejpam-4392	217	5	weighted	weight	VERB
ejpam-4392	217	6	hardy	hardy	ADJ
ejpam-4392	217	7	space	space	NOUN
ejpam-4392	217	8	.	.	PUNCT
ejpam-4392	218	1	int	int	NOUN
ejpam-4392	218	2	.	.	PUNCT
ejpam-4392	219	1	journal	journal	PROPN
ejpam-4392	219	2	of	of	ADP
ejpam-4392	219	3	math	math	NOUN
ejpam-4392	219	4	.	.	PUNCT
ejpam-4392	220	1	analysis	analysis	NOUN
ejpam-4392	220	2	,	,	PUNCT
ejpam-4392	220	3	2:1163–1170	2:1163–1170	NUM
ejpam-4392	220	4	,	,	PUNCT
ejpam-4392	220	5	2008	2008	NUM
ejpam-4392	220	6	.	.	PUNCT
ejpam-4392	221	1	[	[	X
ejpam-4392	221	2	10	10	NUM
ejpam-4392	221	3	]	]	PUNCT
ejpam-4392	221	4	p.	p.	NOUN
ejpam-4392	221	5	suri	suri	PROPN
ejpam-4392	221	6	and	and	CCONJ
ejpam-4392	221	7	n.	n.	PROPN
ejpam-4392	221	8	singh	singh	PROPN
ejpam-4392	221	9	.	.	PUNCT
ejpam-4392	222	1	m−quasi	m−quasi	X
ejpam-4392	222	2	hyponormal	hyponormal	ADJ
ejpam-4392	222	3	composition	composition	NOUN
ejpam-4392	222	4	operators	operator	NOUN
ejpam-4392	222	5	.	.	PUNCT
ejpam-4392	223	1	internat	internat	PROPN
ejpam-4392	223	2	.	.	PUNCT
ejpam-4392	224	1	j.	j.	PROPN
ejpam-4392	224	2	math	math	PROPN
ejpam-4392	224	3	.	.	PUNCT
ejpam-4392	225	1	and	and	CCONJ
ejpam-4392	225	2	math	math	NOUN
ejpam-4392	225	3	.	.	PUNCT
ejpam-4392	226	1	sci	sci	PROPN
ejpam-4392	226	2	.	.	PROPN
ejpam-4392	226	3	,	,	PUNCT
ejpam-4392	226	4	10(3):621–623	10(3):621–623	NUM
ejpam-4392	226	5	,	,	PUNCT
ejpam-4392	226	6	1987	1987	NUM
ejpam-4392	226	7	.	.	PUNCT
ejpam-4392	227	1	references	reference	NOUN
ejpam-4392	227	2	840	840	NUM
ejpam-4392	228	1	[	[	X
ejpam-4392	228	2	11	11	NUM
ejpam-4392	228	3	]	]	PUNCT
ejpam-4392	228	4	a.	a.	NOUN
ejpam-4392	228	5	uchiyama	uchiyama	NOUN
ejpam-4392	228	6	.	.	PUNCT
ejpam-4392	229	1	on	on	ADP
ejpam-4392	229	2	the	the	DET
ejpam-4392	229	3	isolated	isolated	ADJ
ejpam-4392	229	4	points	point	NOUN
ejpam-4392	229	5	of	of	ADP
ejpam-4392	229	6	the	the	DET
ejpam-4392	229	7	spectrum	spectrum	NOUN
ejpam-4392	229	8	of	of	ADP
ejpam-4392	229	9	paranormal	paranormal	ADJ
ejpam-4392	229	10	operators	operator	NOUN
ejpam-4392	229	11	.	.	PUNCT
ejpam-4392	230	1	integral	integral	ADJ
ejpam-4392	230	2	equations	equation	NOUN
ejpam-4392	230	3	and	and	CCONJ
ejpam-4392	230	4	operator	operator	NOUN
ejpam-4392	230	5	theory	theory	NOUN
ejpam-4392	230	6	,	,	PUNCT
ejpam-4392	230	7	55(1):145	55(1):145	PROPN
ejpam-4392	230	8	–	–	PUNCT
ejpam-4392	230	9	151	151	NUM
ejpam-4392	230	10	,	,	PUNCT
ejpam-4392	230	11	2006	2006	NUM
ejpam-4392	230	12	.	.	PUNCT