id	sid	eid	entity	type
ejpam-5587	1	1	european journal	ORG
ejpam-5587	1	2	2025	DATE
ejpam-5587	1	3	18	CARDINAL
ejpam-5587	1	4	1	CARDINAL
ejpam-5587	1	5	5587	DATE
ejpam-5587	1	6	1307-5543	DATE
ejpam-5587	1	7	new york	GPE
ejpam-5587	1	8	salam alnabulsi1	PERSON
ejpam-5587	1	9	1	CARDINAL
ejpam-5587	1	10	university of jordan	ORG
ejpam-5587	1	11	11942	DATE
ejpam-5587	1	12	jordan 2	ORG
ejpam-5587	1	13	7	CARDINAL
ejpam-5587	1	14	mutah university	ORG
ejpam-5587	1	15	al-karak	ORG
ejpam-5587	1	16	jordan	GPE
ejpam-5587	5	1	σ(t	ORG
ejpam-5587	8	1	0	CARDINAL
ejpam-5587	9	1	2020	DATE
ejpam-5587	9	2	47a10,47a53	CARDINAL
ejpam-5587	9	3	1	CARDINAL
ejpam-5587	12	1	istrǎtescu	ORG
ejpam-5587	12	2	13	CARDINAL
ejpam-5587	14	1	8	CARDINAL
ejpam-5587	15	1	∗corresponding	PERSON
ejpam-5587	16	1	s.alnabulsi@ju.edu.jo	PERSON
ejpam-5587	16	2	s. alnabulsi	PERSON
ejpam-5587	16	3	malik	PERSON
ejpam-5587	16	4	m.h.m	NORP
ejpam-5587	16	5	rashid	PERSON
ejpam-5587	17	1	1	CARDINAL
ejpam-5587	17	2	2025	CARDINAL
ejpam-5587	18	1	s. alnabulsi	PERSON
ejpam-5587	18	2	rashid	PERSON
ejpam-5587	19	1	j. pure	PERSON
ejpam-5587	19	2	18	CARDINAL
ejpam-5587	19	3	1	CARDINAL
ejpam-5587	19	4	2025	CARDINAL
ejpam-5587	19	5	5587 2	DATE
ejpam-5587	19	6	20	CARDINAL
ejpam-5587	19	7	ando	ORG
ejpam-5587	20	1	3	CARDINAL
ejpam-5587	20	2	8	DATE
ejpam-5587	20	3	13	CARDINAL
ejpam-5587	21	1	ando	ORG
ejpam-5587	22	1	3	CARDINAL
ejpam-5587	22	2	istrǎtescu	ORG
ejpam-5587	22	3	normaloid operators	ORG
ejpam-5587	23	1	13	CARDINAL
ejpam-5587	24	1	2x	CARDINAL
ejpam-5587	25	1	22	CARDINAL
ejpam-5587	25	2	∥∥	PRODUCT
ejpam-5587	25	3	∈	ORG
ejpam-5587	26	1	⊆	CARDINAL
ejpam-5587	26	2	⊆	CARDINAL
ejpam-5587	26	3	⊆	CARDINAL
ejpam-5587	26	4	⊆	CARDINAL
ejpam-5587	28	1	8	CARDINAL
ejpam-5587	28	2	22	CARDINAL
ejpam-5587	29	1	6	CARDINAL
ejpam-5587	34	1	∗	CARDINAL
ejpam-5587	34	2	0	DATE
ejpam-5587	35	1	m(t	PERSON
ejpam-5587	35	2	0	CARDINAL
ejpam-5587	36	1	σ(t	ORG
ejpam-5587	41	1	coburn	PERSON
ejpam-5587	42	1	5	CARDINAL
ejpam-5587	44	1	22	CARDINAL
ejpam-5587	44	2	3	CARDINAL
ejpam-5587	45	1	ando	GPE
ejpam-5587	46	1	gupta	ORG
ejpam-5587	47	1	11	CARDINAL
ejpam-5587	47	2	hyponormal	NORP
ejpam-5587	48	1	10	CARDINAL
ejpam-5587	49	1	four	CARDINAL
ejpam-5587	50	1	section 2	LAW
ejpam-5587	51	1	s. alnabulsi	PERSON
ejpam-5587	51	2	rashid	PERSON
ejpam-5587	52	1	j. pure	PERSON
ejpam-5587	52	2	18	CARDINAL
ejpam-5587	52	3	1	CARDINAL
ejpam-5587	52	4	2025	CARDINAL
ejpam-5587	52	5	5587 3	DATE
ejpam-5587	52	6	20	CARDINAL
ejpam-5587	52	7	section 3	LAW
ejpam-5587	53	1	section 4	LAW
ejpam-5587	54	1	2	CARDINAL
ejpam-5587	55	1	⟩	GPE
ejpam-5587	56	1	l(h	PRODUCT
ejpam-5587	57	1	d(t	ORG
ejpam-5587	58	1	linear	ORG
ejpam-5587	58	2	d(t	ORG
ejpam-5587	62	1	tx	ORG
ejpam-5587	63	1	∈	ORG
ejpam-5587	63	2	1	CARDINAL
ejpam-5587	64	1	∩d(t	PERSON
ejpam-5587	64	2	tx	ORG
ejpam-5587	65	1	d(t	ORG
ejpam-5587	65	2	tx	ORG
ejpam-5587	65	3	d(t	ORG
ejpam-5587	65	4	⊆	CARDINAL
ejpam-5587	65	5	⊆	CARDINAL
ejpam-5587	66	1	c(h	NORP
ejpam-5587	67	1	∈	ORG
ejpam-5587	68	1	1	CARDINAL
ejpam-5587	70	1	18	CARDINAL
ejpam-5587	70	2	7.1	CARDINAL
ejpam-5587	70	3	231	CARDINAL
ejpam-5587	70	4	∈	ORG
ejpam-5587	72	1	1	CARDINAL
ejpam-5587	73	1	9	CARDINAL
ejpam-5587	74	1	two	CARDINAL
ejpam-5587	74	2	⊆	CARDINAL
ejpam-5587	74	3	d(s	PERSON
ejpam-5587	74	4	tx	ORG
ejpam-5587	75	1	⊆	CARDINAL
ejpam-5587	77	1	d(s	PERSON
ejpam-5587	78	1	tx	ORG
ejpam-5587	80	1	1	CARDINAL
ejpam-5587	81	1	25	CARDINAL
ejpam-5587	83	1	s. alnabulsi	PERSON
ejpam-5587	83	2	rashid	PERSON
ejpam-5587	84	1	j. pure	PERSON
ejpam-5587	84	2	18	CARDINAL
ejpam-5587	84	3	1	CARDINAL
ejpam-5587	84	4	2025	CARDINAL
ejpam-5587	84	5	5587 4	DATE
ejpam-5587	84	6	20	CARDINAL
ejpam-5587	84	7	2	CARDINAL
ejpam-5587	85	1	20	CARDINAL
ejpam-5587	85	2	ρ(t	ORG
ejpam-5587	87	1	σ(t	ORG
ejpam-5587	87	2	σ(t	ORG
ejpam-5587	88	1	σ(t	ORG
ejpam-5587	88	2	σ(t	ORG
ejpam-5587	92	1	r(t	ORG
ejpam-5587	95	1	linear	ORG
ejpam-5587	95	2	21	CARDINAL
ejpam-5587	96	1	3	CARDINAL
ejpam-5587	97	1	21	CARDINAL
ejpam-5587	97	2	156	CARDINAL
ejpam-5587	99	1	ind(t	GPE
ejpam-5587	99	2	ind(t	GPE
ejpam-5587	99	3	dim(ker(t	PERSON
ejpam-5587	100	1	− dim(ran(t	PERSON
ejpam-5587	101	1	2	CARDINAL
ejpam-5587	103	1	ind(t	GPE
ejpam-5587	103	2	ind(t	GPE
ejpam-5587	104	1	4	CARDINAL
ejpam-5587	105	1	21	CARDINAL
ejpam-5587	105	2	172	CARDINAL
ejpam-5587	107	1	0	CARDINAL
ejpam-5587	112	1	σ(t	ORG
ejpam-5587	113	1	σ	ORG
ejpam-5587	113	2	1 2πi	CARDINAL
ejpam-5587	113	3	1	CARDINAL
ejpam-5587	113	4	σ	ORG
ejpam-5587	114	1	s. alnabulsi	PERSON
ejpam-5587	114	2	rashid	PERSON
ejpam-5587	115	1	j. pure	PERSON
ejpam-5587	115	2	18	CARDINAL
ejpam-5587	115	3	1	CARDINAL
ejpam-5587	115	4	2025	CARDINAL
ejpam-5587	115	5	5587 5	DATE
ejpam-5587	115	6	20	CARDINAL
ejpam-5587	115	7	1	CARDINAL
ejpam-5587	116	1	12	CARDINAL
ejpam-5587	116	2	2.1	CARDINAL
ejpam-5587	116	3	326	CARDINAL
ejpam-5587	116	4	σ(t	ORG
ejpam-5587	117	1	σ	ORG
ejpam-5587	117	2	1	CARDINAL
ejpam-5587	120	1	d(t	GPE
ejpam-5587	121	1	σ	PERSON
ejpam-5587	122	1	σ(t	ORG
ejpam-5587	124	1	σ(t	ORG
ejpam-5587	129	1	1 2πi	CARDINAL
ejpam-5587	130	1	2	CARDINAL
ejpam-5587	130	2	5	CARDINAL
ejpam-5587	131	1	16	CARDINAL
ejpam-5587	132	1	m(t	PERSON
ejpam-5587	135	1	m(t	PERSON
ejpam-5587	138	1	2	CARDINAL
ejpam-5587	139	1	1	CARDINAL
ejpam-5587	139	2	334	CARDINAL
ejpam-5587	142	1	0	CARDINAL
ejpam-5587	145	1	0	CARDINAL
ejpam-5587	149	1	m(t	PERSON
ejpam-5587	150	1	0	CARDINAL
ejpam-5587	150	2	3	CARDINAL
ejpam-5587	151	1	normaloid	GPE
ejpam-5587	153	1	σ(t	ORG
ejpam-5587	154	1	s. alnabulsi	PERSON
ejpam-5587	154	2	rashid	PERSON
ejpam-5587	155	1	j. pure	PERSON
ejpam-5587	155	2	18	CARDINAL
ejpam-5587	155	3	1	CARDINAL
ejpam-5587	155	4	2025	CARDINAL
ejpam-5587	155	5	5587 6	DATE
ejpam-5587	156	1	6	CARDINAL
ejpam-5587	157	1	⊆	CARDINAL
ejpam-5587	160	1	∈	ORG
ejpam-5587	160	2	∈	ORG
ejpam-5587	164	1	∈	ORG
ejpam-5587	165	1	∗-paranormal	ORG
ejpam-5587	166	1	∗-paranormal	ORG
ejpam-5587	168	1	∗-paranormal	ORG
ejpam-5587	169	1	⊆	CARDINAL
ejpam-5587	172	1	⊆	CARDINAL
ejpam-5587	172	2	⊆	CARDINAL
ejpam-5587	175	1	2	CARDINAL
ejpam-5587	176	1	∈	ORG
ejpam-5587	176	2	∗-paranormal	ORG
ejpam-5587	181	1	tx	ORG
ejpam-5587	183	1	0 ≤	QUANTITY
ejpam-5587	187	1	s. alnabulsi	PERSON
ejpam-5587	187	2	rashid	PERSON
ejpam-5587	188	1	j. pure	PERSON
ejpam-5587	188	2	18	CARDINAL
ejpam-5587	188	3	1	CARDINAL
ejpam-5587	188	4	2025	CARDINAL
ejpam-5587	188	5	5587 7	DATE
ejpam-5587	188	6	20	CARDINAL
ejpam-5587	188	7	2	CARDINAL
ejpam-5587	189	1	∈	ORG
ejpam-5587	189	2	∗-paranormal	ORG
ejpam-5587	189	3	∈	ORG
ejpam-5587	189	4	− λi)2	ORG
ejpam-5587	189	5	⊂	GPE
ejpam-5587	192	1	⊆	CARDINAL
ejpam-5587	195	1	⊂	GPE
ejpam-5587	197	1	k ∈ b(h	ORG
ejpam-5587	197	2	k ′	ORG
ejpam-5587	197	3	∈	ORG
ejpam-5587	198	1	⊂	GPE
ejpam-5587	199	1	⊆	CARDINAL
ejpam-5587	200	1	⊆	CARDINAL
ejpam-5587	200	2	∗	CARDINAL
ejpam-5587	200	3	⊆	CARDINAL
ejpam-5587	201	1	∈	ORG
ejpam-5587	203	1	23	CARDINAL
ejpam-5587	203	2	∈	ORG
ejpam-5587	204	1	4	CARDINAL
ejpam-5587	205	1	∈	ORG
ejpam-5587	205	2	∗-paranormal	ORG
ejpam-5587	208	1	t11	ORG
ejpam-5587	208	2	tij	PERSON
ejpam-5587	208	3	tij = p	PERSON
ejpam-5587	208	4	|hitp |hj |d(t	PERSON
ejpam-5587	208	5	1	CARDINAL
ejpam-5587	208	6	2	DATE
ejpam-5587	212	1	lemma 2	ORG
ejpam-5587	212	2	− λi)2	ORG
ejpam-5587	212	3	⊂	GPE
ejpam-5587	213	1	⊆	CARDINAL
ejpam-5587	215	1	− λi)v	PERSON
ejpam-5587	216	1	∈	ORG
ejpam-5587	219	1	19	CARDINAL
ejpam-5587	219	2	0	CARDINAL
ejpam-5587	221	1	p(t	PERSON
ejpam-5587	224	1	s. alnabulsi	PERSON
ejpam-5587	224	2	rashid	PERSON
ejpam-5587	225	1	j. pure	PERSON
ejpam-5587	225	2	18	CARDINAL
ejpam-5587	225	3	1	CARDINAL
ejpam-5587	225	4	2025	CARDINAL
ejpam-5587	225	5	5587 8	DATE
ejpam-5587	225	6	20	CARDINAL
ejpam-5587	227	1	∈	ORG
ejpam-5587	228	1	14	CARDINAL
ejpam-5587	228	2	d(t )	ORG
ejpam-5587	230	1	σ(t	ORG
ejpam-5587	235	1	∈	ORG
ejpam-5587	235	2	5	CARDINAL
ejpam-5587	237	1	σ(t	ORG
ejpam-5587	240	1	one	CARDINAL
ejpam-5587	241	1	1	CARDINAL
ejpam-5587	243	1	24	CARDINAL
ejpam-5587	243	2	2	CARDINAL
ejpam-5587	244	1	0	CARDINAL
ejpam-5587	245	1	0	CARDINAL
ejpam-5587	245	2	⊕	GPE
ejpam-5587	245	3	⊂	GPE
ejpam-5587	246	1	⊕	GPE
ejpam-5587	246	2	two	CARDINAL
ejpam-5587	246	3	d(a	GPE
ejpam-5587	247	1	0	CARDINAL
ejpam-5587	247	2	15	CARDINAL
ejpam-5587	249	1	0	CARDINAL
ejpam-5587	250	1	one	CARDINAL
ejpam-5587	251	1	d(t 2	ORG
ejpam-5587	251	2	0	CARDINAL
ejpam-5587	252	1	zero	CARDINAL
ejpam-5587	252	2	∥∥	PRODUCT
ejpam-5587	252	3	∥∥	PRODUCT
ejpam-5587	252	4	0	CARDINAL
ejpam-5587	253	1	t 2	DATE
ejpam-5587	254	1	5	CARDINAL
ejpam-5587	258	1	s. alnabulsi	PERSON
ejpam-5587	258	2	rashid	PERSON
ejpam-5587	259	1	j. pure	PERSON
ejpam-5587	259	2	18	CARDINAL
ejpam-5587	259	3	1	CARDINAL
ejpam-5587	259	4	2025	CARDINAL
ejpam-5587	259	5	5587 9	DATE
ejpam-5587	265	1	⊆	CARDINAL
ejpam-5587	266	1	tx	ORG
ejpam-5587	272	1	∈	PRODUCT
ejpam-5587	274	1	2	CARDINAL
ejpam-5587	276	1	2	CARDINAL
ejpam-5587	276	2	2	CARDINAL
ejpam-5587	276	3	2	CARDINAL
ejpam-5587	277	1	2	CARDINAL
ejpam-5587	277	2	2	CARDINAL
ejpam-5587	278	1	y ∈ h	ORG
ejpam-5587	278	2	2	CARDINAL
ejpam-5587	278	3	2x	CARDINAL
ejpam-5587	279	1	2x	CARDINAL
ejpam-5587	281	1	σ(t	ORG
ejpam-5587	283	1	first	ORDINAL
ejpam-5587	283	2	0	CARDINAL
ejpam-5587	284	1	− µ−1i)−1	PERSON
ejpam-5587	285	1	two	CARDINAL
ejpam-5587	285	2	− µ−1i)−1	PERSON
ejpam-5587	287	1	⊆	CARDINAL
ejpam-5587	287	2	0	CARDINAL
ejpam-5587	288	1	0	CARDINAL
ejpam-5587	289	1	3	CARDINAL
ejpam-5587	290	1	0	CARDINAL
ejpam-5587	290	2	0	CARDINAL
ejpam-5587	291	1	σ(t	ORG
ejpam-5587	293	1	6	CARDINAL
ejpam-5587	295	1	σ(t	ORG
ejpam-5587	297	1	4	CARDINAL
ejpam-5587	297	2	3.4	CARDINAL
ejpam-5587	297	3	⊆	CARDINAL
ejpam-5587	299	1	1	CARDINAL
ejpam-5587	299	2	5	CARDINAL
ejpam-5587	299	3	t |ran(eµ	GPE
ejpam-5587	299	4	bounded s. alnabulsi	PERSON
ejpam-5587	299	5	rashid	PERSON
ejpam-5587	300	1	j. pure	PERSON
ejpam-5587	300	2	18	CARDINAL
ejpam-5587	300	3	1	CARDINAL
ejpam-5587	300	4	2025	CARDINAL
ejpam-5587	300	5	5587 10	DATE
ejpam-5587	301	1	3	CARDINAL
ejpam-5587	301	2	t |ran(eµ	GPE
ejpam-5587	301	3	normaloid	GPE
ejpam-5587	302	1	0	CARDINAL
ejpam-5587	303	1	0	CARDINAL
ejpam-5587	305	1	0	CARDINAL
ejpam-5587	305	2	0	CARDINAL
ejpam-5587	305	3	⊆	CARDINAL
ejpam-5587	308	1	1	CARDINAL
ejpam-5587	309	1	3	CARDINAL
ejpam-5587	310	1	t |ran(eµ	GPE
ejpam-5587	310	2	µiran(eµ	MONEY
ejpam-5587	310	3	σ	ORG
ejpam-5587	310	4	µiran(eµ	MONEY
ejpam-5587	311	1	0	CARDINAL
ejpam-5587	313	1	0	CARDINAL
ejpam-5587	313	2	⊆	CARDINAL
ejpam-5587	314	1	7	CARDINAL
ejpam-5587	315	1	σ(t	ORG
ejpam-5587	319	1	1	CARDINAL
ejpam-5587	320	1	ran(t −µi)|ker(eµ	ORG
ejpam-5587	320	2	n(eµ	LAW
ejpam-5587	320	3	⊆	CARDINAL
ejpam-5587	323	1	+ ker(eµ	PERSON
ejpam-5587	323	2	∩ ker(eµ	PERSON
ejpam-5587	323	3	0	CARDINAL
ejpam-5587	326	1	6	CARDINAL
ejpam-5587	326	2	⊆	CARDINAL
ejpam-5587	328	1	ker(eµ	PERSON
ejpam-5587	330	1	∈	ORG
ejpam-5587	332	1	⊆	CARDINAL
ejpam-5587	333	1	⊆	CARDINAL
ejpam-5587	335	1	7	CARDINAL
ejpam-5587	336	1	1	CARDINAL
ejpam-5587	337	1	0	DATE
ejpam-5587	337	2	σ(t	ORG
ejpam-5587	338	1	1	CARDINAL
ejpam-5587	341	1	2	CARDINAL
ejpam-5587	342	1	∈	ORG
ejpam-5587	342	2	σ(t	ORG
ejpam-5587	345	1	0	CARDINAL
ejpam-5587	345	2	σ(t	ORG
ejpam-5587	347	1	1	CARDINAL
ejpam-5587	348	1	8	CARDINAL
ejpam-5587	351	1	0	DATE
ejpam-5587	351	2	σ(t	ORG
ejpam-5587	353	1	s. alnabulsi	PERSON
ejpam-5587	353	2	rashid	PERSON
ejpam-5587	354	1	j. pure	PERSON
ejpam-5587	354	2	18	CARDINAL
ejpam-5587	354	3	1	CARDINAL
ejpam-5587	354	4	2025	CARDINAL
ejpam-5587	354	5	5587 11	DATE
ejpam-5587	354	6	20	CARDINAL
ejpam-5587	355	1	1	CARDINAL
ejpam-5587	358	1	s0	ORG
ejpam-5587	360	1	s0	ORG
ejpam-5587	362	1	2	CARDINAL
ejpam-5587	362	2	5.4	CARDINAL
ejpam-5587	362	3	289	CARDINAL
ejpam-5587	362	4	σ(t	ORG
ejpam-5587	363	1	⊆	CARDINAL
ejpam-5587	363	2	0	CARDINAL
ejpam-5587	364	1	0 ∈ σ(t	ORG
ejpam-5587	364	2	σ(t	ORG
ejpam-5587	365	1	0	CARDINAL
ejpam-5587	365	2	σ(t	ORG
ejpam-5587	366	1	8	CARDINAL
ejpam-5587	368	1	2	CARDINAL
ejpam-5587	369	1	∗	CARDINAL
ejpam-5587	369	2	0	CARDINAL
ejpam-5587	369	3	σ(t	ORG
ejpam-5587	370	1	9	CARDINAL
ejpam-5587	373	1	∗	CARDINAL
ejpam-5587	373	2	m(t	PERSON
ejpam-5587	373	3	σ(t	ORG
ejpam-5587	373	4	σ(t	ORG
ejpam-5587	375	1	two	CARDINAL
ejpam-5587	376	1	1	CARDINAL
ejpam-5587	377	1	m(t	PERSON
ejpam-5587	379	1	m(t	PERSON
ejpam-5587	380	1	σ(t	ORG
ejpam-5587	381	1	2	CARDINAL
ejpam-5587	383	1	σ(t	ORG
ejpam-5587	383	2	m(t	PERSON
ejpam-5587	385	1	first	ORDINAL
ejpam-5587	387	1	2	CARDINAL
ejpam-5587	388	1	σ(t	ORG
ejpam-5587	392	1	0	CARDINAL
ejpam-5587	393	1	2	CARDINAL
ejpam-5587	394	1	9	CARDINAL
ejpam-5587	394	2	6	CARDINAL
ejpam-5587	396	1	0 /∈ σ(t	MONEY
ejpam-5587	396	2	5	CARDINAL
ejpam-5587	396	3	17	CARDINAL
ejpam-5587	396	4	2.12	CARDINAL
ejpam-5587	397	1	1	CARDINAL
ejpam-5587	397	2	1	CARDINAL
ejpam-5587	397	3	1	CARDINAL
ejpam-5587	397	4	ν ∈ σ(t	ORG
ejpam-5587	397	5	σ(t	ORG
ejpam-5587	399	1	9	CARDINAL
ejpam-5587	400	1	2	CARDINAL
ejpam-5587	402	1	∗	CARDINAL
ejpam-5587	406	1	5	CARDINAL
ejpam-5587	406	2	9	CARDINAL
ejpam-5587	407	1	m(s0	TIME
ejpam-5587	409	1	•	CARDINAL
ejpam-5587	412	1	s. alnabulsi	PERSON
ejpam-5587	412	2	rashid	PERSON
ejpam-5587	413	1	j. pure	PERSON
ejpam-5587	413	2	18	CARDINAL
ejpam-5587	413	3	1	CARDINAL
ejpam-5587	413	4	2025	CARDINAL
ejpam-5587	413	5	5587 12	DATE
ejpam-5587	413	6	20	CARDINAL
ejpam-5587	415	1	3x3	CARDINAL
ejpam-5587	416	1	∈	ORG
ejpam-5587	417	1	2	CARDINAL
ejpam-5587	418	1	zero	CARDINAL
ejpam-5587	422	1	2x3	CARDINAL
ejpam-5587	422	2	3x4	DATE
ejpam-5587	423	1	∈	ORG
ejpam-5587	423	2	∑+∞ j=2	PERSON
ejpam-5587	434	1	m(t	PERSON
ejpam-5587	435	1	1	CARDINAL
ejpam-5587	437	1	σ(t	ORG
ejpam-5587	439	1	m(t	PERSON
ejpam-5587	440	1	σ(t	ORG
ejpam-5587	443	1	−µx1	NORP
ejpam-5587	443	2	2x2	CARDINAL
ejpam-5587	443	3	− µx3	PERSON
ejpam-5587	447	1	0	CARDINAL
ejpam-5587	448	1	2y3	CARDINAL
ejpam-5587	450	1	1	CARDINAL
ejpam-5587	450	2	µ̄	GPE
ejpam-5587	452	1	3	CARDINAL
ejpam-5587	452	2	0	CARDINAL
ejpam-5587	453	1	3	CARDINAL
ejpam-5587	454	1	1	CARDINAL
ejpam-5587	454	2	n → +∞.	ORG
ejpam-5587	454	3	s. alnabulsi	PERSON
ejpam-5587	454	4	rashid	PERSON
ejpam-5587	455	1	j. pure	PERSON
ejpam-5587	455	2	18	CARDINAL
ejpam-5587	455	3	1	CARDINAL
ejpam-5587	455	4	2025	CARDINAL
ejpam-5587	455	5	5587 13	DATE
ejpam-5587	455	6	20	CARDINAL
ejpam-5587	455	7	∑+∞	ORG
ejpam-5587	455	8	∑+∞	NORP
ejpam-5587	455	9	|µ|n	NORP
ejpam-5587	456	1	2	CARDINAL
ejpam-5587	456	2	y ∈	PERSON
ejpam-5587	457	1	∑+∞	NORP
ejpam-5587	457	2	|µ|n	NORP
ejpam-5587	458	1	2	CARDINAL
ejpam-5587	458	2	0	CARDINAL
ejpam-5587	459	1	0	CARDINAL
ejpam-5587	459	2	̸=	ORG
ejpam-5587	460	1	∈	ORG
ejpam-5587	460	2	σ(t	ORG
ejpam-5587	464	1	2	CARDINAL
ejpam-5587	466	1	10	CARDINAL
ejpam-5587	468	1	0	CARDINAL
ejpam-5587	471	1	0	DATE
ejpam-5587	472	1	0	CARDINAL
ejpam-5587	472	2	2	CARDINAL
ejpam-5587	472	3	8	DATE
ejpam-5587	473	1	0 /∈ σp(t	PERCENT
ejpam-5587	476	1	0 /∈ σ(t	MONEY
ejpam-5587	479	1	4	CARDINAL
ejpam-5587	479	2	10	CARDINAL
ejpam-5587	480	1	x3	PERSON
ejpam-5587	481	1	0	CARDINAL
ejpam-5587	481	2	2x2	CARDINAL
ejpam-5587	481	3	1 3 x3	QUANTITY
ejpam-5587	481	4	4x4	DATE
ejpam-5587	481	5	1 5	DATE
ejpam-5587	482	1	∈	ORG
ejpam-5587	482	2	0	CARDINAL
ejpam-5587	482	3	2x2	CARDINAL
ejpam-5587	482	4	1 3x3	CARDINAL
ejpam-5587	482	5	4x4	CARDINAL
ejpam-5587	482	6	1 5x5	CARDINAL
ejpam-5587	483	1	∈	ORG
ejpam-5587	485	1	σ(t	ORG
ejpam-5587	486	1	0	CARDINAL
ejpam-5587	486	2	2	DATE
ejpam-5587	486	3	13	DATE
ejpam-5587	486	4	4	DATE
ejpam-5587	486	5	1 5	CARDINAL
ejpam-5587	487	1	11	CARDINAL
ejpam-5587	490	1	σ(t	ORG
ejpam-5587	492	1	2	CARDINAL
ejpam-5587	492	2	2	CARDINAL
ejpam-5587	494	1	0	CARDINAL
ejpam-5587	495	1	σ(t	ORG
ejpam-5587	496	1	4	CARDINAL
ejpam-5587	501	1	t11	ORG
ejpam-5587	501	2	4	CARDINAL
ejpam-5587	501	3	s. alnabulsi	PERSON
ejpam-5587	501	4	rashid	PERSON
ejpam-5587	502	1	j. pure	PERSON
ejpam-5587	502	2	18	CARDINAL
ejpam-5587	502	3	1	CARDINAL
ejpam-5587	502	4	2025	CARDINAL
ejpam-5587	502	5	5587 14	DATE
ejpam-5587	502	6	tij = phitphj	PERSON
ejpam-5587	502	7	1	CARDINAL
ejpam-5587	502	8	2	CARDINAL
ejpam-5587	504	1	∩d(t	PRODUCT
ejpam-5587	504	2	⊕	PERSON
ejpam-5587	504	3	∩d(t	WORK_OF_ART
ejpam-5587	504	4	t21x1	GPE
ejpam-5587	505	1	3	CARDINAL
ejpam-5587	506	1	4	CARDINAL
ejpam-5587	507	1	0	CARDINAL
ejpam-5587	507	2	0	CARDINAL
ejpam-5587	508	1	5	CARDINAL
ejpam-5587	508	2	1	CARDINAL
ejpam-5587	509	1	ran(t22	DATE
ejpam-5587	511	1	σ(t	ORG
ejpam-5587	513	1	coburn	PERSON
ejpam-5587	514	1	5	CARDINAL
ejpam-5587	514	2	hyponormal	NORP
ejpam-5587	516	1	22	CARDINAL
ejpam-5587	518	1	12	CARDINAL
ejpam-5587	520	1	σ(t	ORG
ejpam-5587	530	1	0	CARDINAL
ejpam-5587	530	2	0	CARDINAL
ejpam-5587	531	1	3	CARDINAL
ejpam-5587	532	1	2	CARDINAL
ejpam-5587	532	2	ind(t	GPE
ejpam-5587	533	1	0	CARDINAL
ejpam-5587	534	1	ker(t22 − µi|ker(t−µi)⊥	EVENT
ejpam-5587	534	2	0	CARDINAL
ejpam-5587	534	3	0	CARDINAL
ejpam-5587	534	4	ran(t22	DATE
ejpam-5587	534	5	− µi|⊥ker(t−µi	PERSON
ejpam-5587	535	1	− µi)⊥.	PERSON
ejpam-5587	536	1	σ(t	ORG
ejpam-5587	536	2	⊆	CARDINAL
ejpam-5587	536	3	σ(t22	PERSON
ejpam-5587	536	4	σ(t	ORG
ejpam-5587	537	1	∈	ORG
ejpam-5587	538	1	∈	ORG
ejpam-5587	539	1	1	CARDINAL
ejpam-5587	539	2	s. alnabulsi	PERSON
ejpam-5587	539	3	rashid	PERSON
ejpam-5587	540	1	j. pure	PERSON
ejpam-5587	540	2	18	CARDINAL
ejpam-5587	540	3	1	CARDINAL
ejpam-5587	540	4	2025	CARDINAL
ejpam-5587	540	5	5587 15	DATE
ejpam-5587	540	6	20	CARDINAL
ejpam-5587	543	1	= ker(eµ	PERSON
ejpam-5587	545	1	= ker(eµ	PERSON
ejpam-5587	554	1	zero	CARDINAL
ejpam-5587	556	1	13	CARDINAL
ejpam-5587	557	1	σ(t	ORG
ejpam-5587	560	1	σ(t	ORG
ejpam-5587	561	1	1	CARDINAL
ejpam-5587	561	2	7	DATE
ejpam-5587	564	1	ker(eµ)∩d(t	PERSON
ejpam-5587	568	1	⊆	CARDINAL
ejpam-5587	568	2	∩d(t	PRODUCT
ejpam-5587	570	1	−µi)⊥ ∩d(t	PERSON
ejpam-5587	571	1	−µi)⊥ ∩d(t	PERSON
ejpam-5587	571	2	− µi)⊥.	ORG
ejpam-5587	572	1	∈	ORG
ejpam-5587	572	2	0	CARDINAL
ejpam-5587	572	3	6	CARDINAL
ejpam-5587	574	1	⊆	CARDINAL
ejpam-5587	575	1	0	CARDINAL
ejpam-5587	576	1	0	CARDINAL
ejpam-5587	577	1	⊆	CARDINAL
ejpam-5587	580	1	1	CARDINAL
ejpam-5587	581	1	∩d(t	PRODUCT
ejpam-5587	581	2	= ker(eµ	PERSON
ejpam-5587	582	1	∩d(t	PRODUCT
ejpam-5587	583	1	∩d(t	PRODUCT
ejpam-5587	583	2	⊆	CARDINAL
ejpam-5587	583	3	⊆	CARDINAL
ejpam-5587	585	1	− µi)∗	PERSON
ejpam-5587	585	2	⊆	CARDINAL
ejpam-5587	586	1	ker(eµ	PERSON
ejpam-5587	587	1	− µi)∗	PERSON
ejpam-5587	587	2	⊆	CARDINAL
ejpam-5587	588	1	ker(eµ	PERSON
ejpam-5587	590	1	∈	ORG
ejpam-5587	590	2	∈ ker(eµ	PERSON
ejpam-5587	590	3	0	CARDINAL
ejpam-5587	592	1	ker(t−µi	NORP
ejpam-5587	595	1	13	CARDINAL
ejpam-5587	595	2	s. alnabulsi	PERSON
ejpam-5587	595	3	rashid	PERSON
ejpam-5587	596	1	j. pure	PERSON
ejpam-5587	596	2	18	CARDINAL
ejpam-5587	596	3	1	CARDINAL
ejpam-5587	596	4	2025	CARDINAL
ejpam-5587	596	5	5587 16	DATE
ejpam-5587	596	6	20	CARDINAL
ejpam-5587	598	1	⊂	GPE
ejpam-5587	599	1	∈	ORG
ejpam-5587	599	2	james orthogonality	PERSON
ejpam-5587	601	1	james	PERSON
ejpam-5587	601	2	∈	ORG
ejpam-5587	601	3	n ∈ n	ORG
ejpam-5587	602	1	james orthogonality	PERSON
ejpam-5587	603	1	6	CARDINAL
ejpam-5587	605	1	two	CARDINAL
ejpam-5587	605	2	σ(t	ORG
ejpam-5587	609	1	∥t	ORG
ejpam-5587	612	1	1 |µn 2 | ∥µn	QUANTITY
ejpam-5587	612	2	2y∥ ≤ ∥t	DATE
ejpam-5587	612	3	∥x+ y∥	PERSON
ejpam-5587	617	1	|µ2|j ∥∥∥µn−j 1	DATE
ejpam-5587	617	2	2	CARDINAL
ejpam-5587	617	3	1	CARDINAL
ejpam-5587	618	1	∥x+ y∥	PERSON
ejpam-5587	619	1	1	CARDINAL
ejpam-5587	621	1	s. alnabulsi	PERSON
ejpam-5587	621	2	rashid	PERSON
ejpam-5587	622	1	j. pure	PERSON
ejpam-5587	622	2	18	CARDINAL
ejpam-5587	622	3	1	CARDINAL
ejpam-5587	622	4	2025	CARDINAL
ejpam-5587	622	5	5587 17	DATE
ejpam-5587	622	6	20	CARDINAL
ejpam-5587	623	1	2	CARDINAL
ejpam-5587	627	1	2x	CARDINAL
ejpam-5587	627	2	2	CARDINAL
ejpam-5587	628	1	6	CARDINAL
ejpam-5587	628	2	∈	ORG
ejpam-5587	628	3	d(t	GPE
ejpam-5587	629	1	t 2	DATE
ejpam-5587	629	2	6	CARDINAL
ejpam-5587	630	1	σ(t	ORG
ejpam-5587	631	1	σ(t	ORG
ejpam-5587	632	1	0	CARDINAL
ejpam-5587	632	2	0	CARDINAL
ejpam-5587	633	1	∈	ORG
ejpam-5587	634	1	⊕	GPE
ejpam-5587	635	1	t ′	DATE
ejpam-5587	636	1	0	CARDINAL
ejpam-5587	637	1	0	CARDINAL
ejpam-5587	640	1	14	DATE
ejpam-5587	641	1	0	CARDINAL
ejpam-5587	644	1	12	CARDINAL
ejpam-5587	644	2	σ(t	ORG
ejpam-5587	645	1	0	CARDINAL
ejpam-5587	645	2	σ(t	ORG
ejpam-5587	646	1	σ(t	ORG
ejpam-5587	646	2	0	CARDINAL
ejpam-5587	646	3	0	CARDINAL
ejpam-5587	647	1	σ(t	ORG
ejpam-5587	648	1	̸=	ORG
ejpam-5587	650	1	3	CARDINAL
ejpam-5587	650	2	0	CARDINAL
ejpam-5587	655	1	⊕ t1	PERSON
ejpam-5587	655	2	⊕ ran(i	PERSON
ejpam-5587	656	1	5	CARDINAL
ejpam-5587	657	1	∈	ORG
ejpam-5587	661	1	⊕ λ2e2	PERSON
ejpam-5587	663	1	s. alnabulsi	PERSON
ejpam-5587	663	2	rashid	PERSON
ejpam-5587	664	1	j. pure	PERSON
ejpam-5587	664	2	18	CARDINAL
ejpam-5587	664	3	1	CARDINAL
ejpam-5587	664	4	2025	CARDINAL
ejpam-5587	664	5	5587 18	DATE
ejpam-5587	665	1	n⊕	CARDINAL
ejpam-5587	666	1	n → +∞.	ORG
ejpam-5587	666	2	n⊕	CARDINAL
ejpam-5587	666	3	⊕	GPE
ejpam-5587	667	1	1− n∑ k=1 ran(ek	PRODUCT
ejpam-5587	670	1	k ̸=	PERSON
ejpam-5587	670	2	6	CARDINAL
ejpam-5587	670	3	n → +∞. 5	ORG
ejpam-5587	676	1	σ(t	ORG
ejpam-5587	680	1	0	CARDINAL
ejpam-5587	685	1	first	ORDINAL
ejpam-5587	685	2	the university of jordan	ORG
ejpam-5587	686	1	s. alnabulsi	PERSON
ejpam-5587	686	2	rashid	PERSON
ejpam-5587	687	1	j. pure	PERSON
ejpam-5587	687	2	18	CARDINAL
ejpam-5587	687	3	1	CARDINAL
ejpam-5587	687	4	2025	CARDINAL
ejpam-5587	687	5	5587 19	DATE
ejpam-5587	687	6	20	CARDINAL
ejpam-5587	687	7	1	CARDINAL
ejpam-5587	687	8	thomas n.e. greville	PERSON
ejpam-5587	687	9	adi ben-israel	PERSON
ejpam-5587	689	1	2 edition	QUANTITY
ejpam-5587	689	2	2003	DATE
ejpam-5587	690	1	2	CARDINAL
ejpam-5587	690	2	d.c.	GPE
ejpam-5587	690	3	taylor	PERSON
ejpam-5587	692	1	wiley	ORG
ejpam-5587	692	2	2 edition	QUANTITY
ejpam-5587	692	3	1986	DATE
ejpam-5587	693	1	3	CARDINAL
ejpam-5587	695	1	acta sci	PERSON
ejpam-5587	696	1	szeged	ORG
ejpam-5587	696	2	33:169–178	CARDINAL
ejpam-5587	696	3	1972	DATE
ejpam-5587	697	1	4	CARDINAL
ejpam-5587	697	2	neeru bala	PERSON
ejpam-5587	697	3	g. ramesh	PERSON
ejpam-5587	698	1	weyl	PERSON
ejpam-5587	699	1	11:567	DATE
ejpam-5587	699	2	582	CARDINAL
ejpam-5587	699	3	2018	DATE
ejpam-5587	700	1	5	CARDINAL
ejpam-5587	700	2	l. coburn	PERSON
ejpam-5587	701	1	weyl	PERSON
ejpam-5587	701	2	nonnormal	NORP
ejpam-5587	702	1	michigan	GPE
ejpam-5587	703	1	j.	PERSON
ejpam-5587	703	2	20, 01 1966	DATE
ejpam-5587	704	1	6	CARDINAL
ejpam-5587	704	2	andrzej daniluk.	PERSON
ejpam-5587	706	1	376(1):342–348, 2011	DATE
ejpam-5587	707	1	7	CARDINAL
ejpam-5587	707	2	r. g. douglas	PERSON
ejpam-5587	708	1	majorization	ORG
ejpam-5587	709	1	american	NORP
ejpam-5587	709	2	17(2):413–415, 1966	DATE
ejpam-5587	710	1	8	CARDINAL
ejpam-5587	712	1	the japan academy	ORG
ejpam-5587	712	2	43:594–598	CARDINAL
ejpam-5587	712	3	1967	DATE
ejpam-5587	713	1	9	CARDINAL
ejpam-5587	713	2	s. kulkarni	PERSON
ejpam-5587	715	1	5:56–69	DATE
ejpam-5587	715	2	01 2011	DATE
ejpam-5587	716	1	10	CARDINAL
ejpam-5587	716	2	a. gupta	PERSON
ejpam-5587	716	3	k. mamtani	PERSON
ejpam-5587	718	1	2:409–418	CARDINAL
ejpam-5587	718	2	09 2017	CARDINAL
ejpam-5587	719	1	11	CARDINAL
ejpam-5587	719	2	anuradha gupta	PERSON
ejpam-5587	719	3	karuna mamtani	PERSON
ejpam-5587	720	1	weyl	PERSON
ejpam-5587	721	1	kyungpook mathematical journal	ORG
ejpam-5587	721	2	55:531–540	CARDINAL
ejpam-5587	721	3	09 2015	DATE
ejpam-5587	722	1	12	CARDINAL
ejpam-5587	722	2	israel gohberg	PERSON
ejpam-5587	722	3	seymour goldberg	PERSON
ejpam-5587	722	4	linear operators	ORG
ejpam-5587	723	1	49	CARDINAL
ejpam-5587	724	1	birkhäuser basel	PERSON
ejpam-5587	724	2	199	CARDINAL
ejpam-5587	725	1	13	CARDINAL
ejpam-5587	727	1	pacific journal of mathematics	ORG
ejpam-5587	727	2	22:413–417	CARDINAL
ejpam-5587	727	3	1967	DATE
ejpam-5587	728	1	14	CARDINAL
ejpam-5587	728	2	t. kato	PERSON
ejpam-5587	729	1	linear operators	ORG
ejpam-5587	729	2	132	CARDINAL
ejpam-5587	729	3	berlin	GPE
ejpam-5587	729	4	2 edition	QUANTITY
ejpam-5587	729	5	198	CARDINAL
ejpam-5587	730	1	15	CARDINAL
ejpam-5587	730	2	hideki kosaki	PERSON
ejpam-5587	732	1	kyushu journal of mathematics	ORG
ejpam-5587	732	2	60	DATE
ejpam-5587	732	3	03 2006	DATE
ejpam-5587	733	1	16	CARDINAL
ejpam-5587	733	2	s. kulkarni	PERSON
ejpam-5587	733	3	ramesh g.	PERSON
ejpam-5587	734	1	12	CARDINAL
ejpam-5587	734	2	09 2016	DATE
ejpam-5587	735	1	17	CARDINAL
ejpam-5587	735	2	s. kulkarni	PERSON
ejpam-5587	735	3	m. thamban nair	PERSON
ejpam-5587	736	1	118:613–625	DATE
ejpam-5587	736	2	11 2008	DATE
ejpam-5587	737	1	18	CARDINAL
ejpam-5587	737	2	nair	PERSON
ejpam-5587	738	1	first	ORDINAL
ejpam-5587	739	1	2021	CARDINAL
ejpam-5587	740	1	19	CARDINAL
ejpam-5587	740	2	c. r. putnam	PERSON
ejpam-5587	742	1	michigan mathematical journal	ORG
ejpam-5587	742	2	36, 1971	DATE
ejpam-5587	743	1	20	CARDINAL
ejpam-5587	743	2	w. rudin	PERSON
ejpam-5587	745	1	mcgraw-hill	ORG
ejpam-5587	745	2	1973	DATE
ejpam-5587	746	1	21	CARDINAL
ejpam-5587	746	2	m. schechter	PERSON
ejpam-5587	748	1	american mathematical society	ORG
ejpam-5587	748	2	2 edition	QUANTITY
ejpam-5587	748	3	1971	DATE
ejpam-5587	749	1	s. alnabulsi	PERSON
ejpam-5587	749	2	rashid	PERSON
ejpam-5587	750	1	j. pure	PERSON
ejpam-5587	750	2	18	CARDINAL
ejpam-5587	750	3	1	CARDINAL
ejpam-5587	750	4	2025	CARDINAL
ejpam-5587	750	5	5587 20	DATE
ejpam-5587	750	6	22	CARDINAL
ejpam-5587	752	1	bull	ORG
ejpam-5587	753	1	austral	ORG
ejpam-5587	754	1	441, 2002	DATE
ejpam-5587	755	1	23	CARDINAL
ejpam-5587	755	2	jan	CARDINAL
ejpam-5587	756	1	asymmetric putnam	PERSON
ejpam-5587	757	1	american	NORP
ejpam-5587	757	2	129:2261–2271	CARDINAL
ejpam-5587	757	3	03 2001	DATE
ejpam-5587	758	1	24	CARDINAL
ejpam-5587	758	2	konrad schmüdgen	PERSON
ejpam-5587	760	1	12:211–226	CARDINAL
ejpam-5587	760	2	03 1989	DATE
ejpam-5587	761	1	25	CARDINAL
ejpam-5587	761	2	r. walter	PERSON
ejpam-5587	763	1	new york	GPE
ejpam-5587	763	2	mcgraw-hill inc.	ORG
ejpam-5587	763	3	2 edition	QUANTITY
ejpam-5587	763	4	1991	DATE