id	sid	eid	entity	type
ejpam-5623	1	1	european journal	ORG
ejpam-5623	1	2	2025	DATE
ejpam-5623	1	3	18	CARDINAL
ejpam-5623	1	4	1	CARDINAL
ejpam-5623	1	5	5623	CARDINAL
ejpam-5623	1	6	1307-5543	CARDINAL
ejpam-5623	1	7	new york	GPE
ejpam-5623	1	8	invariant subspace nares sawatraksa1	ORG
ejpam-5623	1	9	1	CARDINAL
ejpam-5623	1	10	nakhon sawan rajabhat university	ORG
ejpam-5623	1	11	nakhon sawan	GPE
ejpam-5623	1	12	thailand	GPE
ejpam-5623	4	1	invariant subspaces	ORG
ejpam-5623	6	1	algebraic	PERSON
ejpam-5623	7	1	2020	DATE
ejpam-5623	7	2	20m20	CARDINAL
ejpam-5623	7	3	15a04	DATE
ejpam-5623	7	4	47a15	DATE
ejpam-5623	7	5	54d15	CARDINAL
ejpam-5623	7	6	∈	ORG
ejpam-5623	7	7	∈	ORG
ejpam-5623	7	8	axa	ORG
ejpam-5623	9	1	10	CARDINAL
ejpam-5623	9	2	2.1.3	CARDINAL
ejpam-5623	9	3	s. a semigroup s	ORG
ejpam-5623	11	1	2, 6–9	DATE
ejpam-5623	11	2	12	DATE
ejpam-5623	11	3	15	CARDINAL
ejpam-5623	13	1	n. sawatraksa	PERSON
ejpam-5623	13	2	1	CARDINAL
ejpam-5623	14	1	2025	CARDINAL
ejpam-5623	15	1	n. sawatraksa	PERSON
ejpam-5623	16	1	j. pure	PERSON
ejpam-5623	16	2	18	CARDINAL
ejpam-5623	16	3	1	CARDINAL
ejpam-5623	16	4	2025	DATE
ejpam-5623	16	5	5623 2	DATE
ejpam-5623	16	6	15	CARDINAL
ejpam-5623	17	1	l(v	LOC
ejpam-5623	17	2	4	CARDINAL
ejpam-5623	17	3	63	CARDINAL
ejpam-5623	18	1	15	CARDINAL
ejpam-5623	20	1	2008	DATE
ejpam-5623	20	2	sullivan	PERSON
ejpam-5623	20	3	14	CARDINAL
ejpam-5623	20	4	l(v	NORP
ejpam-5623	21	1	∈ l(v	ORG
ejpam-5623	22	1	⊆	CARDINAL
ejpam-5623	24	1	w	GPE
ejpam-5623	25	1	2019	DATE
ejpam-5623	25	2	sangkhanan	PERSON
ejpam-5623	26	1	11	CARDINAL
ejpam-5623	27	1	sullivan	PERSON
ejpam-5623	28	1	14	CARDINAL
ejpam-5623	28	2	∈ l(v	ORG
ejpam-5623	28	3	⊆	CARDINAL
ejpam-5623	28	4	l(v	GPE
ejpam-5623	28	5	w	GPE
ejpam-5623	29	1	2015	DATE
ejpam-5623	29	2	sangkhanan	PERSON
ejpam-5623	29	3	13	CARDINAL
ejpam-5623	29	4	w	ORG
ejpam-5623	30	1	w	ORG
ejpam-5623	32	1	invariant subspace	ORG
ejpam-5623	32	2	s(v	ORG
ejpam-5623	33	1	∈ l(v	ORG
ejpam-5623	33	2	⊆	CARDINAL
ejpam-5623	34	1	2012	DATE
ejpam-5623	35	1	5	CARDINAL
ejpam-5623	35	2	r∗	PERSON
ejpam-5623	35	3	s(v	ORG
ejpam-5623	35	4	w	ORG
ejpam-5623	36	1	the same year	DATE
ejpam-5623	37	1	3	CARDINAL
ejpam-5623	37	2	w	GPE
ejpam-5623	38	1	2019	DATE
ejpam-5623	38	2	chaiya	ORG
ejpam-5623	39	1	1	CARDINAL
ejpam-5623	39	2	s(v	ORG
ejpam-5623	39	3	w	ORG
ejpam-5623	40	1	s(v	ORG
ejpam-5623	40	2	w	ORG
ejpam-5623	42	1	∈ l(v	ORG
ejpam-5623	43	1	w	GPE
ejpam-5623	43	2	s(v	ORG
ejpam-5623	43	3	w	ORG
ejpam-5623	44	1	2018	DATE
ejpam-5623	44	2	chaiya	ORG
ejpam-5623	45	1	al	PERSON
ejpam-5623	46	1	16	CARDINAL
ejpam-5623	46	2	w	GPE
ejpam-5623	46	3	w	GPE
ejpam-5623	47	1	w	GPE
ejpam-5623	47	2	s(v	ORG
ejpam-5623	47	3	w	GPE
ejpam-5623	47	4	w	GPE
ejpam-5623	49	1	the semigroups l(v	LOC
ejpam-5623	49	2	w	GPE
ejpam-5623	49	3	s(v	ORG
ejpam-5623	49	4	w	GPE
ejpam-5623	49	5	w	GPE
ejpam-5623	50	1	n. sawatraksa	PERSON
ejpam-5623	51	1	j. pure	PERSON
ejpam-5623	51	2	18	CARDINAL
ejpam-5623	51	3	1	CARDINAL
ejpam-5623	51	4	2025	CARDINAL
ejpam-5623	51	5	5623 3	DATE
ejpam-5623	51	6	15 2	CARDINAL
ejpam-5623	53	1	one	CARDINAL
ejpam-5623	53	2	w	GPE
ejpam-5623	53	3	l(v	GPE
ejpam-5623	53	4	w	GPE
ejpam-5623	53	5	q.	PERSON
ejpam-5623	53	6	first	ORDINAL
ejpam-5623	53	7	s. theorem 1	ORG
ejpam-5623	54	1	∈ s.	PERSON
ejpam-5623	55	1	one	CARDINAL
ejpam-5623	57	1	s.	PERSON
ejpam-5623	58	1	v2 ∈	PERSON
ejpam-5623	61	1	2β	CARDINAL
ejpam-5623	62	1	2β	CARDINAL
ejpam-5623	63	1	one	CARDINAL
ejpam-5623	64	1	one	CARDINAL
ejpam-5623	65	1	∈	ORG
ejpam-5623	69	1	∈	ORG
ejpam-5623	71	1	∈	ORG
ejpam-5623	75	1	0	CARDINAL
ejpam-5623	78	1	0	CARDINAL
ejpam-5623	80	1	one	CARDINAL
ejpam-5623	84	1	1	CARDINAL
ejpam-5623	84	2	2	DATE
ejpam-5623	87	1	b′′	PRODUCT
ejpam-5623	88	1	b′	PRODUCT
ejpam-5623	88	2	0	CARDINAL
ejpam-5623	91	1	b′ ⊆	ORG
ejpam-5623	91	2	b′′	PRODUCT
ejpam-5623	93	1	b′	PRODUCT
ejpam-5623	95	1	∈	ORG
ejpam-5623	95	2	b′′	PRODUCT
ejpam-5623	95	3	\b′	PRODUCT
ejpam-5623	97	1	∈	ORG
ejpam-5623	98	1	anvn	PERSON
ejpam-5623	100	1	akvk	PERSON
ejpam-5623	110	1	akv	PERSON
ejpam-5623	117	1	akv	PERSON
ejpam-5623	117	2	k.	PERSON
ejpam-5623	118	1	2	CARDINAL
ejpam-5623	121	1	1 + a2v	QUANTITY
ejpam-5623	122	1	k ∈	PERSON
ejpam-5623	123	1	w	GPE
ejpam-5623	124	1	⊆	CARDINAL
ejpam-5623	124	2	n. sawatraksa	PERSON
ejpam-5623	125	1	j. pure	PERSON
ejpam-5623	125	2	18	CARDINAL
ejpam-5623	125	3	1	CARDINAL
ejpam-5623	125	4	2025	CARDINAL
ejpam-5623	125	5	5623 4	DATE
ejpam-5623	125	6	15	CARDINAL
ejpam-5623	125	7	w	ORG
ejpam-5623	126	1	∈	ORG
ejpam-5623	127	1	akvk	PERSON
ejpam-5623	128	1	w ∈ w	ORG
ejpam-5623	135	1	akv	PERSON
ejpam-5623	137	1	∈	ORG
ejpam-5623	140	1	2 +	DATE
ejpam-5623	144	1	u ′ n ∈	ORG
ejpam-5623	144	2	1	CARDINAL
ejpam-5623	144	3	2	DATE
ejpam-5623	148	1	∈	ORG
ejpam-5623	148	2	vα2β	ORG
ejpam-5623	149	1	2 +	DATE
ejpam-5623	152	1	n)αβ	PERSON
ejpam-5623	154	1	1α+	CARDINAL
ejpam-5623	156	1	anu	PERSON
ejpam-5623	160	1	2 +	DATE
ejpam-5623	161	1	anu ′	PERSON
ejpam-5623	165	1	2	CARDINAL
ejpam-5623	167	1	rreg(s	PERSON
ejpam-5623	167	2	s.	PERSON
ejpam-5623	171	1	dim(w	PERSON
ejpam-5623	171	2	2	CARDINAL
ejpam-5623	172	1	2	CARDINAL
ejpam-5623	173	1	⊆	CARDINAL
ejpam-5623	174	1	two	CARDINAL
ejpam-5623	177	1	0	CARDINAL
ejpam-5623	179	1	∈	ORG
ejpam-5623	180	1	j. pure	PERSON
ejpam-5623	180	2	18	CARDINAL
ejpam-5623	180	3	1	CARDINAL
ejpam-5623	180	4	2025	CARDINAL
ejpam-5623	180	5	5623 5	DATE
ejpam-5623	180	6	15	CARDINAL
ejpam-5623	182	1	1	CARDINAL
ejpam-5623	187	1	+ k2b	PERSON
ejpam-5623	187	2	0	CARDINAL
ejpam-5623	190	1	0	CARDINAL
ejpam-5623	191	1	ker(α|v α	PERSON
ejpam-5623	191	2	0	CARDINAL
ejpam-5623	191	3	one	CARDINAL
ejpam-5623	192	1	1	CARDINAL
ejpam-5623	193	1	1	CARDINAL
ejpam-5623	198	1	0	DATE
ejpam-5623	199	1	one	CARDINAL
ejpam-5623	200	1	1	CARDINAL
ejpam-5623	201	1	s.	PERSON
ejpam-5623	202	1	∈ s.	PERSON
ejpam-5623	202	2	zero	CARDINAL
ejpam-5623	203	1	zero	CARDINAL
ejpam-5623	204	1	dim(v α	PERSON
ejpam-5623	204	2	1	CARDINAL
ejpam-5623	205	1	0	CARDINAL
ejpam-5623	205	2	ker(α|v α	PERSON
ejpam-5623	205	3	0	CARDINAL
ejpam-5623	206	1	one	CARDINAL
ejpam-5623	206	2	1	CARDINAL
ejpam-5623	209	1	l(v	LOC
ejpam-5623	209	2	w	GPE
ejpam-5623	209	3	s(v	ORG
ejpam-5623	209	4	w	ORG
ejpam-5623	210	1	3	CARDINAL
ejpam-5623	211	1	∈ lreg(s∗	ORG
ejpam-5623	213	1	⊆	CARDINAL
ejpam-5623	213	2	wα2	NORP
ejpam-5623	214	1	⊆	CARDINAL
ejpam-5623	214	2	wα2	NORP
ejpam-5623	215	1	⊆	CARDINAL
ejpam-5623	215	2	wα2	NORP
ejpam-5623	217	1	s∗.	GPE
ejpam-5623	217	2	∈	ORG
ejpam-5623	219	1	∈ w	ORG
ejpam-5623	222	1	xβα)α	ORG
ejpam-5623	223	1	wα2	NORP
ejpam-5623	223	2	⊆	CARDINAL
ejpam-5623	223	3	wα2	NORP
ejpam-5623	225	1	⊆	CARDINAL
ejpam-5623	225	2	wα2	NORP
ejpam-5623	226	1	∈	ORG
ejpam-5623	228	1	j. pure	PERSON
ejpam-5623	228	2	18	CARDINAL
ejpam-5623	228	3	1	CARDINAL
ejpam-5623	228	4	2025	CARDINAL
ejpam-5623	228	5	5623 6	DATE
ejpam-5623	228	6	15	CARDINAL
ejpam-5623	229	1	∈	ORG
ejpam-5623	232	1	∈	ORG
ejpam-5623	234	1	∈	ORG
ejpam-5623	235	1	anvn	PERSON
ejpam-5623	243	1	anv ′	FAC
ejpam-5623	243	2	w	GPE
ejpam-5623	243	3	∈	ORG
ejpam-5623	243	4	w	GPE
ejpam-5623	244	1	∈	ORG
ejpam-5623	245	1	1	CARDINAL
ejpam-5623	245	2	3	CARDINAL
ejpam-5623	248	1	one	CARDINAL
ejpam-5623	251	1	∈	ORG
ejpam-5623	253	1	∈	ORG
ejpam-5623	255	1	4	CARDINAL
ejpam-5623	257	1	ii) lreg(s∗	ORG
ejpam-5623	260	1	dim(w	PERSON
ejpam-5623	260	2	2	CARDINAL
ejpam-5623	261	1	2	CARDINAL
ejpam-5623	262	1	⊆	CARDINAL
ejpam-5623	262	2	b. n. sawatraksa	PERSON
ejpam-5623	263	1	j. pure	PERSON
ejpam-5623	263	2	18	CARDINAL
ejpam-5623	263	3	1	CARDINAL
ejpam-5623	263	4	2025	CARDINAL
ejpam-5623	263	5	5623 7	DATE
ejpam-5623	263	6	15	CARDINAL
ejpam-5623	264	1	two	CARDINAL
ejpam-5623	265	1	0	CARDINAL
ejpam-5623	267	1	0	CARDINAL
ejpam-5623	267	2	3	CARDINAL
ejpam-5623	267	3	⊆	CARDINAL
ejpam-5623	267	4	wα2	NORP
ejpam-5623	267	5	⊆	CARDINAL
ejpam-5623	269	1	0	CARDINAL
ejpam-5623	270	1	one	CARDINAL
ejpam-5623	272	1	lreg(s∗	ORG
ejpam-5623	273	1	zero	CARDINAL
ejpam-5623	274	1	zero	CARDINAL
ejpam-5623	275	1	dim(v α	PERSON
ejpam-5623	276	1	⊆	CARDINAL
ejpam-5623	277	1	dim(v α	PERSON
ejpam-5623	278	1	1	CARDINAL
ejpam-5623	279	1	2	CARDINAL
ejpam-5623	283	1	5	CARDINAL
ejpam-5623	286	1	⊆	CARDINAL
ejpam-5623	286	2	wα2	NORP
ejpam-5623	288	1	3	CARDINAL
ejpam-5623	289	1	⊆	CARDINAL
ejpam-5623	289	2	wα2	NORP
ejpam-5623	290	1	w	GPE
ejpam-5623	290	2	⊆	CARDINAL
ejpam-5623	290	3	∈	ORG
ejpam-5623	290	4	⊆	CARDINAL
ejpam-5623	291	1	j. pure	PERSON
ejpam-5623	291	2	18	CARDINAL
ejpam-5623	291	3	1	CARDINAL
ejpam-5623	291	4	2025	CARDINAL
ejpam-5623	291	5	5623 8	DATE
ejpam-5623	291	6	15	CARDINAL
ejpam-5623	293	1	w ∈ w	ORG
ejpam-5623	293	2	w′ = w.	PERSON
ejpam-5623	293	3	w′′ ∈ w	PRODUCT
ejpam-5623	295	1	∈	ORG
ejpam-5623	297	1	w	GPE
ejpam-5623	298	1	⊆	CARDINAL
ejpam-5623	301	1	anvn	PERSON
ejpam-5623	303	1	∈	ORG
ejpam-5623	310	1	′′	ORG
ejpam-5623	310	2	1 + a2v	MONEY
ejpam-5623	310	3	′′	ORG
ejpam-5623	310	4	2 +	DATE
ejpam-5623	311	1	akv	PERSON
ejpam-5623	311	2	′′	ORG
ejpam-5623	315	1	akv	PERSON
ejpam-5623	317	1	akv	PERSON
ejpam-5623	318	1	w	GPE
ejpam-5623	318	2	2	CARDINAL
ejpam-5623	321	1	k ∈ w	ORG
ejpam-5623	322	1	1+a2v ′ 2+	TIME
ejpam-5623	324	1	k ∈ w	PERSON
ejpam-5623	325	1	∈	ORG
ejpam-5623	326	1	∈	ORG
ejpam-5623	329	1	1	CARDINAL
ejpam-5623	329	2	5	CARDINAL
ejpam-5623	329	3	3	CARDINAL
ejpam-5623	332	1	one	CARDINAL
ejpam-5623	334	1	6	CARDINAL
ejpam-5623	338	1	4	CARDINAL
ejpam-5623	339	1	theorems 2 and	ORG
ejpam-5623	339	2	6	CARDINAL
ejpam-5623	339	3	4	CARDINAL
ejpam-5623	341	1	n. sawatraksa	PERSON
ejpam-5623	342	1	j. pure	PERSON
ejpam-5623	342	2	18	CARDINAL
ejpam-5623	342	3	1	CARDINAL
ejpam-5623	342	4	2025	CARDINAL
ejpam-5623	342	5	5623 9	DATE
ejpam-5623	343	1	w	GPE
ejpam-5623	344	1	7	CARDINAL
ejpam-5623	345	1	∈ fix(v	ORG
ejpam-5623	345	2	w	GPE
ejpam-5623	347	1	one	CARDINAL
ejpam-5623	349	1	1	CARDINAL
ejpam-5623	349	2	one	CARDINAL
ejpam-5623	350	1	∈ fix(v	ORG
ejpam-5623	350	2	w	GPE
ejpam-5623	350	3	w ⊆	PRODUCT
ejpam-5623	351	1	w	ORG
ejpam-5623	351	2	⊆	CARDINAL
ejpam-5623	351	3	∈	ORG
ejpam-5623	352	1	⊆	CARDINAL
ejpam-5623	352	2	1	CARDINAL
ejpam-5623	352	3	b′′	PRODUCT
ejpam-5623	353	1	b′	PRODUCT
ejpam-5623	353	2	0	CARDINAL
ejpam-5623	356	1	w ∈ w	ORG
ejpam-5623	359	1	∈	ORG
ejpam-5623	362	1	⊆	CARDINAL
ejpam-5623	363	1	wi =	ORG
ejpam-5623	365	1	+ a2(w2β	NORP
ejpam-5623	370	1	w.	PERSON
ejpam-5623	370	2	w	GPE
ejpam-5623	374	1	2+	DATE
ejpam-5623	378	1	u ′ n ∈	ORG
ejpam-5623	378	2	1	CARDINAL
ejpam-5623	378	3	2	DATE
ejpam-5623	382	1	∈	ORG
ejpam-5623	382	2	vα2β	ORG
ejpam-5623	383	1	2 +	DATE
ejpam-5623	386	1	n)αβ	PERSON
ejpam-5623	388	1	1α+	CARDINAL
ejpam-5623	390	1	anu	PERSON
ejpam-5623	394	1	2 +	DATE
ejpam-5623	395	1	anu ′	PERSON
ejpam-5623	399	1	w	GPE
ejpam-5623	401	1	15	CARDINAL
ejpam-5623	401	2	l(v	LOC
ejpam-5623	402	1	dim(v	ORG
ejpam-5623	403	1	8	CARDINAL
ejpam-5623	404	1	n. sawatraksa	PERSON
ejpam-5623	405	1	j. pure	PERSON
ejpam-5623	405	2	18	CARDINAL
ejpam-5623	405	3	1	CARDINAL
ejpam-5623	405	4	2025	CARDINAL
ejpam-5623	405	5	5623 10	DATE
ejpam-5623	405	6	w	GPE
ejpam-5623	406	1	w	GPE
ejpam-5623	407	1	dim(v	ORG
ejpam-5623	411	1	dim(v	ORG
ejpam-5623	412	1	1	CARDINAL
ejpam-5623	413	1	0	CARDINAL
ejpam-5623	413	2	w	GPE
ejpam-5623	414	1	0	CARDINAL
ejpam-5623	415	1	w	CARDINAL
ejpam-5623	416	1	∈	ORG
ejpam-5623	417	1	⊆	CARDINAL
ejpam-5623	417	2	∈	ORG
ejpam-5623	417	3	\bw	ORG
ejpam-5623	419	1	∈	ORG
ejpam-5623	419	2	0	CARDINAL
ejpam-5623	420	1	0	CARDINAL
ejpam-5623	422	1	w	GPE
ejpam-5623	423	1	7	CARDINAL
ejpam-5623	425	1	w ∈ w	PERSON
ejpam-5623	425	2	k ∈	PERSON
ejpam-5623	427	1	k ∈ f	PERSON
ejpam-5623	427	2	w ∈ w	ORG
ejpam-5623	428	1	0	CARDINAL
ejpam-5623	431	1	ker(α|v α	PERSON
ejpam-5623	431	2	0	CARDINAL
ejpam-5623	431	3	one	CARDINAL
ejpam-5623	432	1	w	GPE
ejpam-5623	434	1	one	CARDINAL
ejpam-5623	435	1	7	CARDINAL
ejpam-5623	439	1	one	CARDINAL
ejpam-5623	440	1	7	DATE
ejpam-5623	441	1	w	GPE
ejpam-5623	442	1	dim(v	ORG
ejpam-5623	444	1	w	GPE
ejpam-5623	445	1	j. pure	PERSON
ejpam-5623	445	2	18	CARDINAL
ejpam-5623	445	3	1	CARDINAL
ejpam-5623	445	4	2025	CARDINAL
ejpam-5623	445	5	5623 11	DATE
ejpam-5623	445	6	15	CARDINAL
ejpam-5623	446	1	dim(v	ORG
ejpam-5623	447	1	secondly	ORDINAL
ejpam-5623	447	2	w	GPE
ejpam-5623	448	1	9	CARDINAL
ejpam-5623	449	1	∈ fix(v	ORG
ejpam-5623	449	2	w	GPE
ejpam-5623	450	1	w	GPE
ejpam-5623	453	1	⊆	CARDINAL
ejpam-5623	454	1	⊆	CARDINAL
ejpam-5623	455	1	two	CARDINAL
ejpam-5623	455	2	⊆	CARDINAL
ejpam-5623	455	3	⊆	CARDINAL
ejpam-5623	457	1	w	GPE
ejpam-5623	458	1	w	GPE
ejpam-5623	463	1	xβα)α	ORG
ejpam-5623	468	1	⊆	CARDINAL
ejpam-5623	470	1	⊆	CARDINAL
ejpam-5623	470	2	⊆	CARDINAL
ejpam-5623	471	1	w	GPE
ejpam-5623	472	1	⊆	CARDINAL
ejpam-5623	472	2	⊆	CARDINAL
ejpam-5623	473	1	⊆	CARDINAL
ejpam-5623	473	2	⊆	CARDINAL
ejpam-5623	474	1	∈	ORG
ejpam-5623	475	1	∈	ORG
ejpam-5623	477	1	w	GPE
ejpam-5623	478	1	w ∈ w	ORG
ejpam-5623	483	1	∈	ORG
ejpam-5623	484	1	anwn)β = a1(w1β	PERSON
ejpam-5623	484	2	+ a2(w2β	NORP
ejpam-5623	485	1	n. sawatraksa	PERSON
ejpam-5623	486	1	j. pure	PERSON
ejpam-5623	486	2	18	CARDINAL
ejpam-5623	486	3	1	CARDINAL
ejpam-5623	486	4	2025	DATE
ejpam-5623	486	5	5623 12	DATE
ejpam-5623	486	6	15	CARDINAL
ejpam-5623	487	1	′ 1	DATE
ejpam-5623	492	1	w.	PERSON
ejpam-5623	492	2	∈ fix(v	ORG
ejpam-5623	492	3	w	GPE
ejpam-5623	493	1	∈	ORG
ejpam-5623	496	1	9	CARDINAL
ejpam-5623	497	1	∈ fix(v	ORG
ejpam-5623	497	2	w	GPE
ejpam-5623	498	1	w	GPE
ejpam-5623	503	1	∈	ORG
ejpam-5623	505	1	two	CARDINAL
ejpam-5623	505	2	⊆	CARDINAL
ejpam-5623	505	3	∈	ORG
ejpam-5623	507	1	w	GPE
ejpam-5623	508	1	10	CARDINAL
ejpam-5623	510	1	w	GPE
ejpam-5623	511	1	w	GPE
ejpam-5623	511	2	w	GPE
ejpam-5623	512	1	dim(v	ORG
ejpam-5623	513	1	+ 1	DATE
ejpam-5623	515	1	dim(v	ORG
ejpam-5623	516	1	+ 1	DATE
ejpam-5623	516	2	dim(v	ORG
ejpam-5623	516	3	− dim(w	PERSON
ejpam-5623	517	1	1	CARDINAL
ejpam-5623	517	2	w	ORG
ejpam-5623	518	1	\bw	ORG
ejpam-5623	519	1	two	CARDINAL
ejpam-5623	522	1	∈	ORG
ejpam-5623	522	2	0	CARDINAL
ejpam-5623	523	1	n. sawatraksa	PERSON
ejpam-5623	524	1	j. pure	PERSON
ejpam-5623	524	2	18	CARDINAL
ejpam-5623	524	3	1	CARDINAL
ejpam-5623	524	4	2025	CARDINAL
ejpam-5623	524	5	5623 13	DATE
ejpam-5623	524	6	15	CARDINAL
ejpam-5623	525	1	w ∈ w	ORG
ejpam-5623	528	1	kn ∈	PERSON
ejpam-5623	534	1	knwnα	PERSON
ejpam-5623	536	1	w. hence	PERSON
ejpam-5623	536	2	∈ fix(v	ORG
ejpam-5623	536	3	w	GPE
ejpam-5623	537	1	w	GPE
ejpam-5623	538	1	⊆	CARDINAL
ejpam-5623	538	2	9	CARDINAL
ejpam-5623	540	1	∈	ORG
ejpam-5623	543	1	9	CARDINAL
ejpam-5623	552	1	∈	ORG
ejpam-5623	554	1	∈	ORG
ejpam-5623	555	1	∈ w	ORG
ejpam-5623	555	2	∈ w	ORG
ejpam-5623	558	1	a1v1βα + a2v2βα +	DATE
ejpam-5623	561	1	k ∈	PERSON
ejpam-5623	561	2	1	CARDINAL
ejpam-5623	561	3	2	DATE
ejpam-5623	566	1	0	CARDINAL
ejpam-5623	569	1	9	CARDINAL
ejpam-5623	570	1	w	GPE
ejpam-5623	570	2	w	GPE
ejpam-5623	572	1	dim(v	ORG
ejpam-5623	573	1	w	GPE
ejpam-5623	574	1	dim(w	PERSON
ejpam-5623	575	1	dim(v	ORG
ejpam-5623	576	1	∈ fix(v	ORG
ejpam-5623	576	2	w	GPE
ejpam-5623	577	1	9	CARDINAL
ejpam-5623	582	1	two	CARDINAL
ejpam-5623	583	1	1	CARDINAL
ejpam-5623	585	1	dim(v α	PERSON
ejpam-5623	585	2	1	CARDINAL
ejpam-5623	586	1	9	CARDINAL
ejpam-5623	586	2	w	GPE
ejpam-5623	587	1	2	CARDINAL
ejpam-5623	588	1	+ 1	DATE
ejpam-5623	588	2	dim(v α	PERSON
ejpam-5623	589	1	0	CARDINAL
ejpam-5623	592	1	9	CARDINAL
ejpam-5623	592	2	w	GPE
ejpam-5623	593	1	w	GPE
ejpam-5623	594	1	8 and 10	DATE
ejpam-5623	595	1	6	CARDINAL
ejpam-5623	596	1	n. sawatraksa	PERSON
ejpam-5623	597	1	j. pure	PERSON
ejpam-5623	597	2	18	CARDINAL
ejpam-5623	597	3	1	CARDINAL
ejpam-5623	597	4	2025	CARDINAL
ejpam-5623	597	5	5623 14	DATE
ejpam-5623	597	6	w	GPE
ejpam-5623	598	1	w	GPE
ejpam-5623	598	2	w	GPE
ejpam-5623	599	1	dim(v	ORG
ejpam-5623	599	2	4	CARDINAL
ejpam-5623	600	1	l(v	LOC
ejpam-5623	600	2	w	GPE
ejpam-5623	600	3	s(v	ORG
ejpam-5623	600	4	w	GPE
ejpam-5623	600	5	w	GPE
ejpam-5623	603	1	one	CARDINAL
ejpam-5623	603	2	w	ORG
ejpam-5623	604	1	l(v	GPE
ejpam-5623	604	2	w	GPE
ejpam-5623	604	3	one	CARDINAL
ejpam-5623	612	1	nakhon sawan rajabhat university	ORG
ejpam-5623	614	1	1	CARDINAL
ejpam-5623	616	1	99:579–590	CARDINAL
ejpam-5623	616	2	2019	DATE
ejpam-5623	617	1	n. sawatraksa	PERSON
ejpam-5623	618	1	j. pure	PERSON
ejpam-5623	618	2	18	CARDINAL
ejpam-5623	618	3	1	CARDINAL
ejpam-5623	618	4	2025	CARDINAL
ejpam-5623	618	5	5623 15	DATE
ejpam-5623	618	6	2	CARDINAL
ejpam-5623	618	7	w	GPE
ejpam-5623	620	1	thai journal of mathematics	ORG
ejpam-5623	620	2	18(3):1261–1268	CARDINAL
ejpam-5623	620	3	2020	DATE
ejpam-5623	621	1	3	CARDINAL
ejpam-5623	621	2	j sanwong	PERSON
ejpam-5623	622	1	invariant subspace	ORG
ejpam-5623	623	1	6(8):375–386	CARDINAL
ejpam-5623	623	2	2012	DATE
ejpam-5623	624	1	4	CARDINAL
ejpam-5623	624	2	jm howie	PERSON
ejpam-5623	626	1	oxford university press	ORG
ejpam-5623	626	2	new york	GPE
ejpam-5623	626	3	1995	DATE
ejpam-5623	627	1	5	CARDINAL
ejpam-5623	628	1	invariant subspace	ORG
ejpam-5623	629	1	6(27):1319–1324	CARDINAL
ejpam-5623	629	2	2012	DATE
ejpam-5623	630	1	6	CARDINAL
ejpam-5623	630	2	w sommanee	PERSON
ejpam-5623	632	1	11(10):2230	DATE
ejpam-5623	632	2	2023	CARDINAL
ejpam-5623	633	1	7	CARDINAL
ejpam-5623	635	1	thai journal of mathematics.	ORG
ejpam-5623	635	2	33:109–118	CARDINAL
ejpam-5623	635	3	2016	DATE
ejpam-5623	636	1	8	CARDINAL
ejpam-5623	638	1	jp journal	ORG
ejpam-5623	638	2	28:97	TIME
ejpam-5623	638	3	105, 2013	DATE
ejpam-5623	639	1	9	CARDINAL
ejpam-5623	641	1	7:289–296	CARDINAL
ejpam-5623	641	2	2013	DATE
ejpam-5623	642	1	10	CARDINAL
ejpam-5623	644	1	wiley	ORG
ejpam-5623	644	2	new york	GPE
ejpam-5623	644	3	1999	DATE
ejpam-5623	645	1	11	CARDINAL
ejpam-5623	645	2	k sangkhanan	PERSON
ejpam-5623	645	3	j sanwong	PERSON
ejpam-5623	647	1	semigroup	PERSON
ejpam-5623	647	2	98:456–471, 2019	DATE
ejpam-5623	648	1	12	CARDINAL
ejpam-5623	648	2	y kemprasit	PERSON
ejpam-5623	649	1	1-1	CARDINAL
ejpam-5623	649	2	1-1	CARDINAL
ejpam-5623	650	1	4:1399–1406	CARDINAL
ejpam-5623	650	2	2010	DATE
ejpam-5623	651	1	13	CARDINAL
ejpam-5623	651	2	k sangkhanan	PERSON
ejpam-5623	653	1	australian	NORP
ejpam-5623	653	2	103(3):402–419, 1941	DATE
ejpam-5623	654	1	14	CARDINAL
ejpam-5623	654	2	rp sullivan	PERSON
ejpam-5623	656	1	australian	NORP
ejpam-5623	656	2	77:441–453, 2008	DATE
ejpam-5623	657	1	15	CARDINAL
ejpam-5623	659	1	far east journal of mathematical sciences	ORG
ejpam-5623	659	2	108(2):401–411,	DATE
ejpam-5623	659	3	2018	DATE
ejpam-5623	660	1	16	CARDINAL
ejpam-5623	660	2	y chaiya	PERSON
ejpam-5623	660	3	j sanwong	PERSON
ejpam-5623	662	1	asian-european journal of mathematics	ORG
ejpam-5623	662	2	12(4):579–590	CARDINAL
ejpam-5623	662	3	2019	DATE