id	sid	eid	entity	type
cana-5853	1	1	sanskriti∗ dr	PERSON
cana-5853	1	2	h. c. jha†	PERSON
cana-5853	2	1	cesàro	PERSON
cana-5853	4	1	1	CARDINAL
cana-5853	7	1	the early 20th century	DATE
cana-5853	13	1	∗research	LOC
cana-5853	13	2	university department	ORG
cana-5853	13	3	lalit narayan mithila university	ORG
cana-5853	13	4	darbhanga	GPE
cana-5853	13	5	bihar	GPE
cana-5853	13	6	lalit narayan mithila university	ORG
cana-5853	13	7	darbhanga	GPE
cana-5853	13	8	bihar	GPE
cana-5853	14	1	1074	CARDINAL
cana-5853	14	2	31	CARDINAL
cana-5853	14	3	2	CARDINAL
cana-5853	14	4	2024	CARDINAL
cana-5853	15	1	461	CARDINAL
cana-5853	18	1	m(n	GPE
cana-5853	22	1	•	CARDINAL
cana-5853	23	1	•	CARDINAL
cana-5853	24	1	•	CARDINAL
cana-5853	24	2	cesàro	PERSON
cana-5853	25	1	•	CARDINAL
cana-5853	26	1	•	CARDINAL
cana-5853	28	1	2	CARDINAL
cana-5853	31	1	2.1	CARDINAL
cana-5853	31	2	m(n	GPE
cana-5853	33	1	0,∞	TIME
cana-5853	33	2	n ∈ n	ORG
cana-5853	33	3	m(n	GPE
cana-5853	33	4	0	DATE
cana-5853	34	1	0	CARDINAL
cana-5853	35	1	1074	CARDINAL
cana-5853	35	2	31	CARDINAL
cana-5853	35	3	2	CARDINAL
cana-5853	35	4	2024	CARDINAL
cana-5853	36	1	462 • m(n	DATE
cana-5853	37	1	0	CARDINAL
cana-5853	37	2	m(n	GPE
cana-5853	37	3	2	CARDINAL
cana-5853	38	1	+k.	PERSON
cana-5853	39	1	2.2	CARDINAL
cana-5853	39	2	xm	ORG
cana-5853	39	3	m(n	GPE
cana-5853	39	4	xm	ORG
cana-5853	42	1	x.	GPE
cana-5853	42	2	ρm	ORG
cana-5853	42	3	xm	ORG
cana-5853	43	1	one	CARDINAL
cana-5853	43	2	luxemburg	PERSON
cana-5853	45	1	xm	ORG
cana-5853	46	1	2.3	CARDINAL
cana-5853	46	2	m∗(n	PRODUCT
cana-5853	46	3	legendre	GPE
cana-5853	47	1	n ∈ n	ORG
cana-5853	47	2	m∗(n	PERSON
cana-5853	48	1	m∗(n	PRODUCT
cana-5853	48	2	xm	ORG
cana-5853	49	1	m∗(n	PRODUCT
cana-5853	51	1	xm	ORG
cana-5853	52	1	xm spaces	ORG
cana-5853	53	1	1074	CARDINAL
cana-5853	53	2	31	CARDINAL
cana-5853	53	3	2	CARDINAL
cana-5853	53	4	2024	CARDINAL
cana-5853	53	5	463 2.4	CARDINAL
cana-5853	53	6	two	CARDINAL
cana-5853	55	1	1	CARDINAL
cana-5853	55	2	1 ≤	MONEY
cana-5853	56	1	m(n	PERSON
cana-5853	57	1	xm	ORG
cana-5853	59	1	m∗(n	PRODUCT
cana-5853	60	1	1	CARDINAL
cana-5853	60	2	1	CARDINAL
cana-5853	60	3	ℓq)∗.	NORP
cana-5853	60	4	2	CARDINAL
cana-5853	60	5	0	CARDINAL
cana-5853	61	1	0,∞	CARDINAL
cana-5853	62	1	0,∞	DATE
cana-5853	63	1	m(n	PERSON
cana-5853	64	1	xm	ORG
cana-5853	67	1	m∗(n	PERSON
cana-5853	70	1	3	CARDINAL
cana-5853	70	2	xm	ORG
cana-5853	70	3	xm	ORG
cana-5853	70	4	bounded linear operators	ORG
cana-5853	72	1	1074	CARDINAL
cana-5853	72	2	31	CARDINAL
cana-5853	72	3	2	CARDINAL
cana-5853	72	4	2024	CARDINAL
cana-5853	73	1	464 3.1	CARDINAL
cana-5853	73	2	xm	ORG
cana-5853	74	1	xm → xm	ORG
cana-5853	74	2	1	CARDINAL
cana-5853	74	3	t	CARDINAL
cana-5853	74	4	xm	ORG
cana-5853	75	1	∈	ORG
cana-5853	77	1	2	CARDINAL
cana-5853	77	2	0	CARDINAL
cana-5853	78	1	xm	ORG
cana-5853	78	2	∥t (x)∥m	ORG
cana-5853	79	1	xm	ORG
cana-5853	80	1	3.2	CARDINAL
cana-5853	81	1	ank	ORG
cana-5853	81	2	∞∑ k=1	PERSON
cana-5853	82	1	xm	ORG
cana-5853	82	2	xm	ORG
cana-5853	86	1	xm	ORG
cana-5853	88	1	3.3	CARDINAL
cana-5853	91	1	∞∑ k=1 m(k	PERSON
cana-5853	91	2	0	CARDINAL
cana-5853	92	1	xm	ORG
cana-5853	92	2	1074	CARDINAL
cana-5853	92	3	31	CARDINAL
cana-5853	92	4	2	CARDINAL
cana-5853	92	5	2024	CARDINAL
cana-5853	92	6	465	CARDINAL
cana-5853	93	1	m(n	PERSON
cana-5853	93	2	m(n	GPE
cana-5853	93	3	ax)n	ORG
cana-5853	93	4	x.	GPE
cana-5853	94	1	diag(λn	ORG
cana-5853	94	2	m(n	GPE
cana-5853	94	3	λnxn	ORG
cana-5853	95	1	m(n	GPE
cana-5853	95	2	m(n	PERSON
cana-5853	99	1	3.4	CARDINAL
cana-5853	100	1	m∗(n	PERSON
cana-5853	104	1	+m∗(k	PERSON
cana-5853	104	2	ank	ORG
cana-5853	105	1	∞∑ k=1	PERSON
cana-5853	105	2	∞∑ k=1 m(k	PERSON
cana-5853	105	3	∞∑ k=1 m∗(k	PERSON
cana-5853	105	4	ank	ORG
cana-5853	106	1	∞∑ k=1 m∗(k	PERSON
cana-5853	106	2	ank	ORG
cana-5853	106	3	x.	ORG
cana-5853	108	1	xm	ORG
cana-5853	109	1	1074	CARDINAL
cana-5853	109	2	31	CARDINAL
cana-5853	109	3	2	CARDINAL
cana-5853	109	4	2024	CARDINAL
cana-5853	109	5	466	CARDINAL
cana-5853	110	1	4	CARDINAL
cana-5853	110	2	4.1	CARDINAL
cana-5853	110	3	xm	ORG
cana-5853	110	4	ank	ORG
cana-5853	110	5	xm	ORG
cana-5853	112	1	xm	ORG
cana-5853	112	2	m(n	GPE
cana-5853	113	1	ank	ORG
cana-5853	114	1	∞∑ k=1	PERSON
cana-5853	115	1	xm	ORG
cana-5853	115	2	0	CARDINAL
cana-5853	116	1	∞∑ k=1 m(k	PERSON
cana-5853	116	2	xm	ORG
cana-5853	118	1	schur	ORG
cana-5853	119	1	un	ORG
cana-5853	119	2	un	ORG
cana-5853	119	3	m(n	PERSON
cana-5853	119	4	ηnkt	ORG
cana-5853	122	1	1074	CARDINAL
cana-5853	122	2	31	CARDINAL
cana-5853	122	3	2	CARDINAL
cana-5853	122	4	2024	CARDINAL
cana-5853	123	1	467	CARDINAL
cana-5853	124	1	e(m	DATE
cana-5853	124	2	1	CARDINAL
cana-5853	124	3	0	CARDINAL
cana-5853	124	4	∥ae(m)∥m ≤ c∥e(m)∥m	PERSON
cana-5853	125	1	1	CARDINAL
cana-5853	126	1	xm	ORG
cana-5853	126	2	m(m, 1	GPE
cana-5853	129	1	diag(λn	ORG
cana-5853	133	1	m(n	PERSON
cana-5853	133	2	m(n	PERSON
cana-5853	136	1	m(n	GPE
cana-5853	138	1	n∑ k=1	PERSON
cana-5853	139	1	n∑ k=1	PERSON
cana-5853	140	1	∞∑	PERSON
cana-5853	140	2	un	ORG
cana-5853	140	3	un	ORG
cana-5853	140	4	n∑ k=1	PERSON
cana-5853	141	1	1074	CARDINAL
cana-5853	141	2	31	CARDINAL
cana-5853	141	3	2	CARDINAL
cana-5853	141	4	2024	CARDINAL
cana-5853	141	5	468	CARDINAL
cana-5853	142	1	diag(λn	ORG
cana-5853	142	2	xm	ORG
cana-5853	142	3	xm	ORG
cana-5853	142	4	m(n	GPE
cana-5853	143	1	m(n	PERSON
cana-5853	146	1	∞∑ k=1 m(k	PERSON
cana-5853	150	1	xm	ORG
cana-5853	153	1	4.2	CARDINAL
cana-5853	153	2	xm	ORG
cana-5853	155	1	xm spaces	ORG
cana-5853	157	1	xm	ORG
cana-5853	158	1	xm	ORG
cana-5853	159	1	0	CARDINAL
cana-5853	159	2	n ∈ n	ORG
cana-5853	160	1	1074	CARDINAL
cana-5853	160	2	31	CARDINAL
cana-5853	160	3	2	CARDINAL
cana-5853	160	4	2024	CARDINAL
cana-5853	160	5	469	CARDINAL
cana-5853	162	1	ank	ORG
cana-5853	163	1	one	CARDINAL
cana-5853	163	2	∞∑ k=1 |ank|	PERSON
cana-5853	163	3	x.	ORG
cana-5853	166	1	xm	ORG
cana-5853	166	2	∞∑ k=1 m(k	PERSON
cana-5853	167	1	x.	ORG
cana-5853	174	1	diag(λn	ORG
cana-5853	174	2	m(n	GPE
cana-5853	175	1	1074	CARDINAL
cana-5853	175	2	31	CARDINAL
cana-5853	175	3	2	CARDINAL
cana-5853	175	4	2024	CARDINAL
cana-5853	175	5	470	CARDINAL
cana-5853	175	6	xm	ORG
cana-5853	175	7	m(n	DATE
cana-5853	175	8	λnxn	ORG
cana-5853	175	9	zero	CARDINAL
cana-5853	177	1	ank	ORG
cana-5853	177	2	n∑ k=1	PERSON
cana-5853	179	1	cesàro	PERSON
cana-5853	180	1	1 n	CARDINAL
cana-5853	182	1	xm	ORG
cana-5853	185	1	5	CARDINAL
cana-5853	187	1	xm	ORG
cana-5853	188	1	1074	CARDINAL
cana-5853	188	2	31	CARDINAL
cana-5853	188	3	2	CARDINAL
cana-5853	188	4	2024	CARDINAL
cana-5853	189	1	471 5.1	CARDINAL
cana-5853	190	1	1 n if 1 ≤ k ≤ n	QUANTITY
cana-5853	193	1	cesàro	ORG
cana-5853	194	1	1 ≤ k ≤ n	QUANTITY
cana-5853	194	2	0 k > n	QUANTITY
cana-5853	197	1	xm	ORG
cana-5853	198	1	5.2	CARDINAL
cana-5853	198	2	xm	ORG
cana-5853	198	3	ank	ORG
cana-5853	198	4	n 1 ≤ k ≤ n	QUANTITY
cana-5853	199	1	xm	ORG
cana-5853	201	1	m(n	PERSON
cana-5853	201	2	jensen	PERSON
cana-5853	205	1	1074	CARDINAL
cana-5853	205	2	31	CARDINAL
cana-5853	205	3	2	CARDINAL
cana-5853	205	4	2024	CARDINAL
cana-5853	206	1	472	CARDINAL
cana-5853	206	2	0	CARDINAL
cana-5853	206	3	cm(k	ORG
cana-5853	207	1	∞∑ k=1 m(k	PERSON
cana-5853	207	2	xm	ORG
cana-5853	208	1	xm	ORG
cana-5853	209	1	cesàro	ORG
cana-5853	210	1	5.3	CARDINAL
cana-5853	210	2	cesàro	PERSON
cana-5853	210	3	xm	ORG
cana-5853	211	1	xm	ORG
cana-5853	211	2	a.	PERSON
cana-5853	212	1	cesàro	PERSON
cana-5853	213	1	1/n	PRODUCT
cana-5853	213	2	zero	CARDINAL
cana-5853	214	1	∈	ORG
cana-5853	214	2	1 n n∑ k=1	QUANTITY
cana-5853	214	3	1	CARDINAL
cana-5853	216	1	∈	ORG
cana-5853	219	1	1074	CARDINAL
cana-5853	219	2	31	CARDINAL
cana-5853	219	3	2	CARDINAL
cana-5853	219	4	2024	CARDINAL
cana-5853	219	5	473	CARDINAL
cana-5853	219	6	cesàro	PERSON
cana-5853	219	7	m(n	PERSON
cana-5853	220	1	cesàro	PERSON
cana-5853	220	2	1	CARDINAL
cana-5853	221	1	cesàro	PERSON
cana-5853	221	2	xm	ORG
cana-5853	221	3	0	CARDINAL
cana-5853	221	4	xm	ORG
cana-5853	222	1	cesàro	PERSON
cana-5853	222	2	xm	ORG
cana-5853	226	1	6	CARDINAL
cana-5853	226	2	xm	ORG
cana-5853	228	1	xm	ORG
cana-5853	229	1	6.1	CARDINAL
cana-5853	229	2	xm → xm	ORG
cana-5853	230	1	σ(a	ORG
cana-5853	230	2	σ(a	ORG
cana-5853	231	1	a−	ORG
cana-5853	232	1	•	CARDINAL
cana-5853	232	2	∃ x	PERSON
cana-5853	233	1	•	CARDINAL
cana-5853	233	2	•	CARDINAL
cana-5853	235	1	xm	ORG
cana-5853	236	1	1074	CARDINAL
cana-5853	236	2	31	CARDINAL
cana-5853	236	3	2	CARDINAL
cana-5853	236	4	2024	CARDINAL
cana-5853	236	5	474	CARDINAL
cana-5853	237	1	xm	ORG
cana-5853	237	2	bounded linear operators	ORG
cana-5853	238	1	6.2	CARDINAL
cana-5853	238	2	xm	ORG
cana-5853	239	1	0	CARDINAL
cana-5853	240	1	xm	ORG
cana-5853	240	2	σ(a	ORG
cana-5853	241	1	0	CARDINAL
cana-5853	241	2	0	CARDINAL
cana-5853	243	1	xm	ORG
cana-5853	244	1	•	CARDINAL
cana-5853	244	2	0	CARDINAL
cana-5853	246	1	6.3	CARDINAL
cana-5853	249	1	⇐⇒ ∀n	DATE
cana-5853	250	1	1	CARDINAL
cana-5853	252	1	1074	CARDINAL
cana-5853	252	2	31	CARDINAL
cana-5853	252	3	2	CARDINAL
cana-5853	252	4	2024	CARDINAL
cana-5853	252	5	475	CARDINAL
cana-5853	254	1	•	CARDINAL
cana-5853	255	1	•	CARDINAL
cana-5853	255	2	0	CARDINAL
cana-5853	255	3	xm	ORG
cana-5853	256	1	xm	ORG
cana-5853	258	1	m(n	GPE
cana-5853	258	2	xm	ORG
cana-5853	259	1	diag(λn	ORG
cana-5853	259	2	0	CARDINAL
cana-5853	260	1	σ(a	ORG
cana-5853	260	2	0	CARDINAL
cana-5853	262	1	ank	ORG
cana-5853	263	1	xm	ORG
cana-5853	263	2	0	CARDINAL
cana-5853	263	3	0	CARDINAL
cana-5853	264	1	xm	ORG
cana-5853	266	1	0	CARDINAL
cana-5853	268	1	7	CARDINAL
cana-5853	268	2	xm	ORG
cana-5853	269	1	xm	ORG
cana-5853	270	1	three	CARDINAL
cana-5853	270	2	xm	ORG
cana-5853	271	1	1074	CARDINAL
cana-5853	271	2	31	CARDINAL
cana-5853	271	3	2	CARDINAL
cana-5853	271	4	2024	CARDINAL
cana-5853	271	5	476 7.1	CARDINAL
cana-5853	272	1	cesàro	PERSON
cana-5853	273	1	xm spaces	ORG
cana-5853	274	1	•	CARDINAL
cana-5853	274	2	xm	ORG
cana-5853	275	1	•	CARDINAL
cana-5853	275	2	m(n	PERSON
cana-5853	277	1	xm	ORG
cana-5853	278	1	7.2	CARDINAL
cana-5853	278	2	xm approximation	ORG
cana-5853	280	1	xm spaces	ORG
cana-5853	280	2	•	CARDINAL
cana-5853	281	1	•	CARDINAL
cana-5853	282	1	•	CARDINAL
cana-5853	283	1	xm	ORG
cana-5853	284	1	linear	ORG
cana-5853	285	1	xm	ORG
cana-5853	285	2	1074	CARDINAL
cana-5853	285	3	31	CARDINAL
cana-5853	285	4	2	CARDINAL
cana-5853	285	5	2024	CARDINAL
cana-5853	285	6	477 •	CARDINAL
cana-5853	285	7	m(n	PERSON
cana-5853	285	8	xm	ORG
cana-5853	286	1	•	CARDINAL
cana-5853	287	1	•	CARDINAL
cana-5853	288	1	xm	ORG
cana-5853	289	1	cesàro	PERSON
cana-5853	291	1	xm	ORG
cana-5853	294	1	1	CARDINAL
cana-5853	294	2	e. malkowsky	PERSON
cana-5853	294	3	rakočević	ORG
cana-5853	294	4	2017	DATE
cana-5853	295	1	2	CARDINAL
cana-5853	295	2	w. rudin	PERSON
cana-5853	295	3	mcgraw-hill	ORG
cana-5853	295	4	1991	DATE
cana-5853	296	1	3	CARDINAL
cana-5853	296	2	m. demiriz	PERSON
cana-5853	296	3	2025	CARDINAL
cana-5853	297	1	4	CARDINAL
cana-5853	297	2	j. musielak	PERSON
cana-5853	297	3	1034	CARDINAL
cana-5853	297	4	1983	DATE
cana-5853	298	1	5	CARDINAL
cana-5853	298	2	m. a. krasnosel’skii	PERSON
cana-5853	298	3	p. noordhoff ltd.	ORG
cana-5853	298	4	groningen, 1961	ORG
cana-5853	299	1	6	CARDINAL
cana-5853	299	2	r. e. edwards	PERSON
cana-5853	299	3	holt	GPE
cana-5853	299	4	rinehart	GPE
cana-5853	299	5	winston	GPE
cana-5853	299	6	1965	DATE
cana-5853	300	1	7	CARDINAL
cana-5853	300	2	i. j. maddox	PERSON
cana-5853	300	3	cambridge university press	ORG
cana-5853	300	4	1969	DATE
cana-5853	301	1	1074	CARDINAL
cana-5853	301	2	31	CARDINAL
cana-5853	301	3	2	CARDINAL
cana-5853	301	4	2024	CARDINAL
cana-5853	301	5	478	CARDINAL
cana-5853	302	1	8	CARDINAL
cana-5853	302	2	m. altun	PERSON
cana-5853	302	3	f. başar	PERSON
cana-5853	302	4	2007	DATE
cana-5853	303	1	9	CARDINAL
cana-5853	303	2	h. kizmaz	PERSON
cana-5853	303	3	canad	ORG
cana-5853	305	1	bull	PERSON
cana-5853	305	2	25(1982	CARDINAL
cana-5853	305	3	151–158	CARDINAL
cana-5853	306	1	10	CARDINAL
cana-5853	306	2	m. demiriz	PERSON
cana-5853	307	1	11	CARDINAL
cana-5853	307	2	c. w. groetsch	PERSON
cana-5853	307	3	first	ORDINAL
cana-5853	307	4	marcel dekker	PERSON
cana-5853	307	5	1984	DATE
cana-5853	308	1	12	CARDINAL
cana-5853	308	2	c. bennett	PERSON
cana-5853	308	3	r. sharpley	PERSON
cana-5853	308	4	1988	DATE
cana-5853	309	1	13	CARDINAL
cana-5853	309	2	g. h. hardy	PERSON
cana-5853	309	3	j. e. littlewood	PERSON
cana-5853	309	4	cambridge university press	ORG
cana-5853	309	5	1934	DATE
cana-5853	310	1	14	CARDINAL
cana-5853	310	2	a. c. zaanen	PERSON
cana-5853	310	3	linear analysis	ORG
cana-5853	310	4	north-holland	GPE
cana-5853	310	5	1957	DATE
cana-5853	311	1	15	CARDINAL
cana-5853	311	2	l. v. kantorovich	PERSON
cana-5853	311	3	g. p. akilov	PERSON
cana-5853	311	4	pergamon press	ORG
cana-5853	311	5	1984	DATE
cana-5853	312	1	16	CARDINAL
cana-5853	312	2	l. schwartz	PERSON
cana-5853	312	3	hermann	GPE
cana-5853	312	4	paris	GPE
cana-5853	312	5	1964	DATE
cana-5853	313	1	17	CARDINAL
cana-5853	313	2	w. h. young	PERSON
cana-5853	313	3	summable	PERSON
cana-5853	314	1	lond	PERSON
cana-5853	316	1	1912	DATE
cana-5853	317	1	18	CARDINAL
cana-5853	317	2	m. z.	PERSON
cana-5853	318	1	1976	DATE
cana-5853	319	1	1074	CARDINAL
cana-5853	319	2	31	CARDINAL
cana-5853	319	3	2	CARDINAL
cana-5853	319	4	2024	CARDINAL
cana-5853	319	5	479	CARDINAL
cana-5853	319	6	m(n	GPE
cana-5853	319	7	xm	ORG
cana-5853	319	8	xm	ORG
cana-5853	319	9	xm	ORG
cana-5853	319	10	xm	ORG
cana-5853	319	11	xm	ORG