id	sid	eid	entity	type
ejpam-5626	1	1	european journal	ORG
ejpam-5626	1	2	2025	DATE
ejpam-5626	1	3	18	CARDINAL
ejpam-5626	1	4	1	CARDINAL
ejpam-5626	1	5	5626	CARDINAL
ejpam-5626	1	6	1307-5543	DATE
ejpam-5626	1	7	new york	GPE
ejpam-5626	1	8	m. arif raza1	PERSON
ejpam-5626	1	9	junaid nisar2,∗	GPE
ejpam-5626	1	10	darvish4 1	FAC
ejpam-5626	1	11	abdulaziz university	PERSON
ejpam-5626	1	12	ksa 2	ORG
ejpam-5626	1	13	pune	GPE
ejpam-5626	1	14	india	GPE
ejpam-5626	1	15	3	CARDINAL
ejpam-5626	1	16	aligarh muslim university	ORG
ejpam-5626	1	17	aligarh-202002	DATE
ejpam-5626	1	18	india	GPE
ejpam-5626	1	19	4	CARDINAL
ejpam-5626	1	20	nanjing university of information science	ORG
ejpam-5626	1	21	nanjing	GPE
ejpam-5626	1	22	210044	DATE
ejpam-5626	1	23	china	GPE
ejpam-5626	8	1	von neumann algebras	PERSON
ejpam-5626	8	2	standard operator	ORG
ejpam-5626	8	3	algebras	ORG
ejpam-5626	9	1	2020	DATE
ejpam-5626	9	2	16w10	CARDINAL
ejpam-5626	9	3	47b47	CARDINAL
ejpam-5626	10	1	1	CARDINAL
ejpam-5626	11	1	∈	ORG
ejpam-5626	12	1	jordan	GPE
ejpam-5626	13	1	1	CARDINAL
ejpam-5626	13	2	2	CARDINAL
ejpam-5626	13	3	4–7	CARDINAL
ejpam-5626	13	4	9	DATE
ejpam-5626	13	5	10	DATE
ejpam-5626	13	6	13	CARDINAL
ejpam-5626	15	1	∈ a.	PERSON
ejpam-5626	15	2	λ(l∗	ORG
ejpam-5626	19	1	λ(m)]∗ ∗corresponding	NORP
ejpam-5626	20	1	m. raza	PERSON
ejpam-5626	20	2	j. nisar	PERSON
ejpam-5626	20	3	nu.rehman.mm@amu.ac.in	PRODUCT
ejpam-5626	20	4	n. rehman	PERSON
ejpam-5626	20	5	vdarvish@nuist.edu.cn	PERSON
ejpam-5626	20	6	1	CARDINAL
ejpam-5626	21	1	2025	CARDINAL
ejpam-5626	22	1	m. a. raza et al	PERSON
ejpam-5626	23	1	j. pure	PERSON
ejpam-5626	23	2	18	CARDINAL
ejpam-5626	23	3	1	CARDINAL
ejpam-5626	23	4	2025	CARDINAL
ejpam-5626	23	5	5626 2	DATE
ejpam-5626	30	1	n ∈ a.	ORG
ejpam-5626	30	2	2021	DATE
ejpam-5626	30	3	a. khan	PERSON
ejpam-5626	31	1	3	CARDINAL
ejpam-5626	31	2	multiplicative	ORG
ejpam-5626	31	3	von neumann	PERSON
ejpam-5626	32	1	jordan	PERSON
ejpam-5626	32	2	8	CARDINAL
ejpam-5626	32	3	11	DATE
ejpam-5626	32	4	12	CARDINAL
ejpam-5626	33	1	li	PERSON
ejpam-5626	33	2	8	CARDINAL
ejpam-5626	33	3	jordan	GPE
ejpam-5626	33	4	∗-algebras	PRODUCT
ejpam-5626	34	1	2023	CARDINAL
ejpam-5626	35	1	al	PERSON
ejpam-5626	36	1	12	CARDINAL
ejpam-5626	36	2	jordan	GPE
ejpam-5626	36	3	jordan	PERSON
ejpam-5626	36	4	jordan	GPE
ejpam-5626	36	5	∗-algebras	PRODUCT
ejpam-5626	37	1	∗-algebras	PRODUCT
ejpam-5626	41	1	n ∈ a.our	ORG
ejpam-5626	43	1	∗-algebras	PRODUCT
ejpam-5626	44	1	2	CARDINAL
ejpam-5626	44	2	first	ORDINAL
ejpam-5626	44	3	2.1	CARDINAL
ejpam-5626	47	1	xa(i−	NORP
ejpam-5626	50	1	0	CARDINAL
ejpam-5626	51	1	m. a. raza et al	PERSON
ejpam-5626	52	1	j. pure	PERSON
ejpam-5626	52	2	18	CARDINAL
ejpam-5626	52	3	1	CARDINAL
ejpam-5626	52	4	2025	CARDINAL
ejpam-5626	52	5	5626 3	DATE
ejpam-5626	61	1	peirce decomposition	ORG
ejpam-5626	63	1	lij ∈ aij	PERSON
ejpam-5626	63	2	∈ aji	PERSON
ejpam-5626	63	3	1	CARDINAL
ejpam-5626	63	4	2	CARDINAL
ejpam-5626	63	5	2.1	CARDINAL
ejpam-5626	64	1	2.1	CARDINAL
ejpam-5626	69	1	0]•	CARDINAL
ejpam-5626	69	2	0]∗	ORG
ejpam-5626	70	1	0]•	CARDINAL
ejpam-5626	70	2	0]∗	ORG
ejpam-5626	72	1	0	CARDINAL
ejpam-5626	72	2	0	CARDINAL
ejpam-5626	73	1	2.2	CARDINAL
ejpam-5626	74	1	lij ∈ aij	PERSON
ejpam-5626	74	2	1 ≤	CARDINAL
ejpam-5626	89	1	2.1	CARDINAL
ejpam-5626	98	1	∗ +	DATE
ejpam-5626	99	1	0	CARDINAL
ejpam-5626	100	1	m. a. raza et al	PERSON
ejpam-5626	101	1	j. pure	PERSON
ejpam-5626	101	2	18	CARDINAL
ejpam-5626	101	3	1	CARDINAL
ejpam-5626	101	4	2025	CARDINAL
ejpam-5626	101	5	5626 4	DATE
ejpam-5626	101	6	10	CARDINAL
ejpam-5626	101	7	0	CARDINAL
ejpam-5626	105	1	2.1	CARDINAL
ejpam-5626	106	1	+ λ([[l12,x12]•,p2]∗	PERSON
ejpam-5626	108	1	l21,λ(x12)]•,p2]∗	GPE
ejpam-5626	109	1	two	CARDINAL
ejpam-5626	109	2	0	CARDINAL
ejpam-5626	110	1	0	CARDINAL
ejpam-5626	111	1	p2mx∗ 12	PRODUCT
ejpam-5626	111	2	0	CARDINAL
ejpam-5626	113	1	0	CARDINAL
ejpam-5626	118	1	2.3	CARDINAL
ejpam-5626	125	1	1	CARDINAL
ejpam-5626	126	1	2.1	CARDINAL
ejpam-5626	127	1	λ([[l12,p1]•,p2]∗	PERSON
ejpam-5626	129	1	m12,λ(p1)]•,p2]∗ +	DATE
ejpam-5626	132	1	two	CARDINAL
ejpam-5626	132	2	0	CARDINAL
ejpam-5626	133	1	0	CARDINAL
ejpam-5626	134	1	0	CARDINAL
ejpam-5626	135	1	x12 ∈	ORG
ejpam-5626	138	1	x12,λ(l12	ORG
ejpam-5626	138	2	m12)]•,p2]∗ m. a. raza et al	PERSON
ejpam-5626	139	1	j. pure	PERSON
ejpam-5626	139	2	18	CARDINAL
ejpam-5626	139	3	1	CARDINAL
ejpam-5626	139	4	2025	CARDINAL
ejpam-5626	139	5	5626 5	DATE
ejpam-5626	140	1	2.1	CARDINAL
ejpam-5626	143	1	λ(x12),l12]•,p2]∗ +	DATE
ejpam-5626	145	1	two	CARDINAL
ejpam-5626	146	1	x12	DATE
ejpam-5626	146	2	0	CARDINAL
ejpam-5626	147	1	0	CARDINAL
ejpam-5626	148	1	0	CARDINAL
ejpam-5626	149	1	0	CARDINAL
ejpam-5626	150	1	2	CARDINAL
ejpam-5626	150	2	1	CARDINAL
ejpam-5626	151	1	lemma 2.4	ORG
ejpam-5626	152	1	1 ≤	QUANTITY
ejpam-5626	154	1	= λ(lii	PERSON
ejpam-5626	159	1	2.1	CARDINAL
ejpam-5626	162	1	mii]•,pi]∗	PRODUCT
ejpam-5626	170	1	λ(lii +mii)]•,pi]∗ +	PERSON
ejpam-5626	170	2	lii +mii]•,λ(pi)]∗.	PERSON
ejpam-5626	170	3	two	CARDINAL
ejpam-5626	171	1	0	CARDINAL
ejpam-5626	172	1	lii +mii]•,pi]∗	PRODUCT
ejpam-5626	174	1	λ(lii +mii)]•,pi]∗	PERSON
ejpam-5626	175	1	lii +mii]•,λ(pi)]∗.	ORG
ejpam-5626	175	2	2.1	CARDINAL
ejpam-5626	175	3	lii +mii]•,pi]∗	PRODUCT
ejpam-5626	177	1	mii]•,pi]∗	PRODUCT
ejpam-5626	184	1	two	CARDINAL
ejpam-5626	184	2	0	CARDINAL
ejpam-5626	187	1	0	CARDINAL
ejpam-5626	188	1	pj	PERSON
ejpam-5626	188	2	m. a. raza et al	PERSON
ejpam-5626	189	1	j. pure	PERSON
ejpam-5626	189	2	18	CARDINAL
ejpam-5626	189	3	1	CARDINAL
ejpam-5626	189	4	2025	CARDINAL
ejpam-5626	189	5	5626 6	DATE
ejpam-5626	189	6	10	CARDINAL
ejpam-5626	189	7	2.5	CARDINAL
ejpam-5626	192	1	∈	ORG
ejpam-5626	194	1	2.2 2.4	CARDINAL
ejpam-5626	196	1	+m11	PERCENT
ejpam-5626	208	1	2.1	CARDINAL
ejpam-5626	208	2	2.2	CARDINAL
ejpam-5626	214	1	n ∈ a.	ORG
ejpam-5626	215	1	2.2	CARDINAL
ejpam-5626	216	1	2.6	CARDINAL
ejpam-5626	222	1	2λ(ii)−	CARDINAL
ejpam-5626	222	2	2λ(ii)∗	ORG
ejpam-5626	223	1	+ 4iλ(i	DATE
ejpam-5626	224	1	4λ(ii	CARDINAL
ejpam-5626	225	1	two	CARDINAL
ejpam-5626	225	2	2λ(ii)−	CARDINAL
ejpam-5626	225	3	2λ(ii)∗	ORG
ejpam-5626	226	1	+ 4iλ(i)− 4λ(ii	DATE
ejpam-5626	227	1	0	CARDINAL
ejpam-5626	228	1	2.1	CARDINAL
ejpam-5626	230	1	2iλ(ii)−	CARDINAL
ejpam-5626	230	2	2λ(i)∗	CARDINAL
ejpam-5626	230	3	2λ(i	CARDINAL
ejpam-5626	232	1	m. a. raza et al	PERSON
ejpam-5626	233	1	j. pure	PERSON
ejpam-5626	233	2	18	CARDINAL
ejpam-5626	233	3	1	CARDINAL
ejpam-5626	233	4	2025	CARDINAL
ejpam-5626	233	5	5626 7 of 10	DATE
ejpam-5626	233	6	two	CARDINAL
ejpam-5626	235	1	2λ(i)∗	CARDINAL
ejpam-5626	235	2	2λ(i	CARDINAL
ejpam-5626	236	1	2.2	CARDINAL
ejpam-5626	236	2	2.2	CARDINAL
ejpam-5626	236	3	4iλ(i)−	CARDINAL
ejpam-5626	238	1	2iλ(i)∗	CARDINAL
ejpam-5626	240	1	0	CARDINAL
ejpam-5626	240	2	2.3	CARDINAL
ejpam-5626	240	3	2.1	CARDINAL
ejpam-5626	240	4	2.3	CARDINAL
ejpam-5626	241	1	2.4	CARDINAL
ejpam-5626	241	2	2.4	CARDINAL
ejpam-5626	241	3	2.3	CARDINAL
ejpam-5626	242	1	2.5	CARDINAL
ejpam-5626	243	1	0	CARDINAL
ejpam-5626	244	1	2.7	CARDINAL
ejpam-5626	245	1	λ preserves star	ORG
ejpam-5626	245	2	λ(l∗	PERSON
ejpam-5626	246	1	lemma 2.6	ORG
ejpam-5626	247	1	λ(l	CARDINAL
ejpam-5626	248	1	−iλ(l)−	NORP
ejpam-5626	249	1	2λ(l	TIME
ejpam-5626	250	1	+ 2λ(l∗	DATE
ejpam-5626	251	1	two	CARDINAL
ejpam-5626	251	2	2.8	CARDINAL
ejpam-5626	252	1	λ(il	ORG
ejpam-5626	252	2	l ∈ a. proof	ORG
ejpam-5626	253	1	lemma 2.6 that	ORG
ejpam-5626	254	1	λ(il	ORG
ejpam-5626	254	2	2λ(il)−	ORDINAL
ejpam-5626	254	3	2λ(il)∗.	CARDINAL
ejpam-5626	255	1	2λ(il)−	ORDINAL
ejpam-5626	255	2	2λ(il)∗.	CARDINAL
ejpam-5626	255	3	2.6	CARDINAL
ejpam-5626	256	1	λ(l	CARDINAL
ejpam-5626	257	1	2.7	CARDINAL
ejpam-5626	257	2	m. a. raza et al	PERSON
ejpam-5626	258	1	j. pure	PERSON
ejpam-5626	258	2	18	CARDINAL
ejpam-5626	258	3	1	CARDINAL
ejpam-5626	258	4	2025	CARDINAL
ejpam-5626	258	5	5626 8	DATE
ejpam-5626	258	6	10	CARDINAL
ejpam-5626	258	7	2.6	CARDINAL
ejpam-5626	258	8	2.7	CARDINAL
ejpam-5626	259	1	λ(i(l+ l∗	PERSON
ejpam-5626	260	1	iλ(l+ l∗	GPE
ejpam-5626	261	1	2.8	CARDINAL
ejpam-5626	261	2	2.8	CARDINAL
ejpam-5626	261	3	λ(il	ORG
ejpam-5626	262	1	2.9	CARDINAL
ejpam-5626	265	1	2λ(lm∗)−	CARDINAL
ejpam-5626	265	2	2λ(ml∗	CARDINAL
ejpam-5626	266	1	lemma 2.6	ORG
ejpam-5626	267	1	λ(l),m]•	ORG
ejpam-5626	269	1	2mλ(l)∗	CARDINAL
ejpam-5626	270	1	2lλ(m)∗	CARDINAL
ejpam-5626	270	2	2λ(m)l∗.	CARDINAL
ejpam-5626	270	3	two	CARDINAL
ejpam-5626	270	4	λ(lm∗)− λ(ml∗	PERSON
ejpam-5626	272	1	2.9	CARDINAL
ejpam-5626	272	2	−λ(lm∗)− λ(ml∗	PERSON
ejpam-5626	273	1	2.6	CARDINAL
ejpam-5626	273	2	2.8	CARDINAL
ejpam-5626	280	1	two	CARDINAL
ejpam-5626	284	1	2.10	CARDINAL
ejpam-5626	284	2	2.9	CARDINAL
ejpam-5626	284	3	2.10	CARDINAL
ejpam-5626	287	1	2.11	CARDINAL
ejpam-5626	290	1	2.2	CARDINAL
ejpam-5626	291	1	2.1	CARDINAL
ejpam-5626	291	2	m. a. raza et al	PERSON
ejpam-5626	292	1	j. pure	PERSON
ejpam-5626	292	2	18	CARDINAL
ejpam-5626	292	3	1	CARDINAL
ejpam-5626	292	4	2025	CARDINAL
ejpam-5626	292	5	5626 9	DATE
ejpam-5626	292	6	10	CARDINAL
ejpam-5626	292	7	2.1	CARDINAL
ejpam-5626	294	1	2	CARDINAL
ejpam-5626	296	1	1	CARDINAL
ejpam-5626	296	2	∗(l	ORG
ejpam-5626	298	1	i.	PERSON
ejpam-5626	304	1	2	CARDINAL
ejpam-5626	305	1	0	CARDINAL
ejpam-5626	305	2	wap	ORG
ejpam-5626	305	3	0	CARDINAL
ejpam-5626	306	1	2.1	CARDINAL
ejpam-5626	306	2	3.1	CARDINAL
ejpam-5626	307	1	i.	PERSON
ejpam-5626	313	1	3.2	CARDINAL
ejpam-5626	314	1	von neumann	PERSON
ejpam-5626	314	2	2	CARDINAL
ejpam-5626	320	1	3.3	CARDINAL
ejpam-5626	328	1	m. a. raza et al	PERSON
ejpam-5626	329	1	j. pure	PERSON
ejpam-5626	329	2	18	CARDINAL
ejpam-5626	329	3	1	CARDINAL
ejpam-5626	329	4	2025	CARDINAL
ejpam-5626	329	5	5626 10	DATE
ejpam-5626	329	6	10	CARDINAL
ejpam-5626	329	7	1	CARDINAL
ejpam-5626	329	8	m. ashraf	PERSON
ejpam-5626	329	9	md	GPE
ejpam-5626	329	10	shamim akhter	PERSON
ejpam-5626	329	11	m. ansari	PERSON
ejpam-5626	330	1	nonlinear bi-skew	PERSON
ejpam-5626	330	2	jordan	GPE
ejpam-5626	330	3	von neumann algebras	PERSON
ejpam-5626	331	1	filomat	ORG
ejpam-5626	331	2	37(17):5591–5599	CARDINAL
ejpam-5626	331	3	2023	CARDINAL
ejpam-5626	332	1	2	CARDINAL
ejpam-5626	332	2	d. huo	PERSON
ejpam-5626	332	3	b. zheng	PERSON
ejpam-5626	332	4	j. xu	PERSON
ejpam-5626	332	5	h. liu.	PERSON
ejpam-5626	333	1	jordan multiple ∗	PERSON
ejpam-5626	333	2	von neumann algebras	PERSON
ejpam-5626	334	1	linear	ORG
ejpam-5626	334	2	63(5):1026–1036	CARDINAL
ejpam-5626	334	3	2015	DATE
ejpam-5626	335	1	3	CARDINAL
ejpam-5626	335	2	a. khan	PERSON
ejpam-5626	336	1	multiplicative biskew	ORG
ejpam-5626	336	2	von neumann algebras	PERSON
ejpam-5626	337	1	rocky mountain journal	ORG
ejpam-5626	337	2	51(6):2103–2114	CARDINAL
ejpam-5626	337	3	2021	DATE
ejpam-5626	338	1	4	CARDINAL
ejpam-5626	338	2	l. kong	GPE
ejpam-5626	338	3	j. zhang	PERSON
ejpam-5626	340	1	indian	NORP
ejpam-5626	340	2	54(2):475–484	CARDINAL
ejpam-5626	340	3	2023	CARDINAL
ejpam-5626	341	1	5	CARDINAL
ejpam-5626	341	2	c. li	PERSON
ejpam-5626	341	3	q. chen	PERSON
ejpam-5626	341	4	t. wang	PERSON
ejpam-5626	342	1	jordan	GPE
ejpam-5626	342	2	von neumann algebras	PERSON
ejpam-5626	343	1	chin	PERSON
ejpam-5626	344	1	ann	PERSON
ejpam-5626	346	1	39(4):633–642	DATE
ejpam-5626	346	2	2018	DATE
ejpam-5626	347	1	6	CARDINAL
ejpam-5626	347	2	c. li	PERSON
ejpam-5626	347	3	q. chen	PERSON
ejpam-5626	347	4	t. wang	PERSON
ejpam-5626	348	1	jordan	GPE
ejpam-5626	348	2	von neumann algebras	PERSON
ejpam-5626	349	1	chinese	NORP
ejpam-5626	349	2	39(4):633–642	DATE
ejpam-5626	349	3	2018	DATE
ejpam-5626	350	1	7	CARDINAL
ejpam-5626	350	2	c. li	PERSON
ejpam-5626	350	3	f. lu	PERSON
ejpam-5626	351	1	jordan	GPE
ejpam-5626	351	2	1∗-product	CARDINAL
ejpam-5626	351	3	von neumann algebras	PERSON
ejpam-5626	352	1	11:109–117	CARDINAL
ejpam-5626	352	2	2017	DATE
ejpam-5626	353	1	8	CARDINAL
ejpam-5626	353	2	c. li	PERSON
ejpam-5626	353	3	d. zhang	PERSON
ejpam-5626	354	1	jordan	GPE
ejpam-5626	355	1	siberian mathematical journal	ORG
ejpam-5626	355	2	63(4):735–742	CARDINAL
ejpam-5626	355	3	2022	CARDINAL
ejpam-5626	356	1	9	CARDINAL
ejpam-5626	356	2	c. li	PERSON
ejpam-5626	356	3	f. zhao	PERSON
ejpam-5626	356	4	q. chen.	PERSON
ejpam-5626	358	1	acta mathematica sinica	PERSON
ejpam-5626	358	2	english	LANGUAGE
ejpam-5626	358	3	32(7):821–830	DATE
ejpam-5626	358	4	2016	DATE
ejpam-5626	359	1	10	CARDINAL
ejpam-5626	359	2	c. li	PERSON
ejpam-5626	359	3	y. zhao	PERSON
ejpam-5626	359	4	f. zhao	PERSON
ejpam-5626	360	1	nonlinear*-jordan	ORG
ejpam-5626	361	1	rocky mountain journal	ORG
ejpam-5626	361	2	51(2):601–612	CARDINAL
ejpam-5626	361	3	2021	DATE
ejpam-5626	362	1	11	CARDINAL
ejpam-5626	362	2	j. zhang	PERSON
ejpam-5626	363	1	von neumann algebras	PERSON
ejpam-5626	364	1	acta	PERSON
ejpam-5626	364	2	sci chinese series	ORG
ejpam-5626	364	3	62:1–13	DATE
ejpam-5626	364	4	2019	DATE
ejpam-5626	365	1	12	CARDINAL
ejpam-5626	365	2	n. rehman	PERSON
ejpam-5626	365	3	j. nisar	PERSON
ejpam-5626	365	4	m. nazim	PERSON
ejpam-5626	366	1	jordan	GPE
ejpam-5626	367	1	51(4):1334–1343	CARDINAL
ejpam-5626	367	2	2023	CARDINAL
ejpam-5626	368	1	13	CARDINAL
ejpam-5626	368	2	f. zhang	PERSON
ejpam-5626	369	1	η-jordan	GPE
ejpam-5626	370	1	52:323–333	CARDINAL
ejpam-5626	370	2	2022	CARDINAL