id	sid	eid	entity	type
ejpam-2552	1	1	european	NORP
ejpam-2552	2	1	11	CARDINAL
ejpam-2552	2	2	4, 2018	DATE
ejpam-2552	2	3	893	CARDINAL
ejpam-2552	2	4	new york	GPE
ejpam-2552	2	5	alain boudou1	PERSON
ejpam-2552	2	6	sylvie viguier-pla2,1,∗	PERSON
ejpam-2552	2	7	1	CARDINAL
ejpam-2552	3	1	institut de mathématiques	ORG
ejpam-2552	3	2	paul sabatier	PERSON
ejpam-2552	3	3	118	CARDINAL
ejpam-2552	3	4	de narbonne	ORG
ejpam-2552	3	5	9	CARDINAL
ejpam-2552	3	6	de perpignan	ORG
ejpam-2552	3	7	56	CARDINAL
ejpam-2552	3	8	avenue paul alduy	PERSON
ejpam-2552	3	9	perpignan cedex	PERSON
ejpam-2552	3	10	france	GPE
ejpam-2552	4	1	two	CARDINAL
ejpam-2552	5	1	two	CARDINAL
ejpam-2552	9	1	2010	DATE
ejpam-2552	9	2	60g57	CARDINAL
ejpam-2552	9	3	60g10	DATE
ejpam-2552	9	4	60b15	CARDINAL
ejpam-2552	9	5	60h05	CARDINAL
ejpam-2552	9	6	1	CARDINAL
ejpam-2552	9	7	s.m.	GPE
ejpam-2552	10	1	4	CARDINAL
ejpam-2552	10	2	3	CARDINAL
ejpam-2552	11	1	s.m.	GPE
ejpam-2552	14	1	two	CARDINAL
ejpam-2552	15	1	s.m.	GPE
ejpam-2552	16	1	e(b)−	PERSON
ejpam-2552	18	1	‖e(b)−	ORG
ejpam-2552	18	2	1	CARDINAL
ejpam-2552	21	1	https://doi.org/10.29020/nybg.ejpam.v11i4.2552	TIME
ejpam-2552	21	2	a. boudou	PERSON
ejpam-2552	21	3	viguier@univ-perp.fr	PRODUCT
ejpam-2552	21	4	s. viguier-pla	PERSON
ejpam-2552	22	1	893	CARDINAL
ejpam-2552	22	2	2018	DATE
ejpam-2552	23	1	a. boudou	PERSON
ejpam-2552	23	2	s. viguier-pla	PERSON
ejpam-2552	24	1	j. pure	PERSON
ejpam-2552	24	2	11	CARDINAL
ejpam-2552	24	3	4	CARDINAL
ejpam-2552	24	4	2018	DATE
ejpam-2552	24	5	893	CARDINAL
ejpam-2552	24	6	2	CARDINAL
ejpam-2552	25	1	s.m.	GPE
ejpam-2552	26	1	s.m.’s	GPE
ejpam-2552	28	1	section 2	LAW
ejpam-2552	29	1	third	ORDINAL
ejpam-2552	29	2	two	CARDINAL
ejpam-2552	30	1	two	CARDINAL
ejpam-2552	30	2	section 4	DATE
ejpam-2552	33	1	2	CARDINAL
ejpam-2552	33	2	2.1	CARDINAL
ejpam-2552	33	3	l(h	PRODUCT
ejpam-2552	33	4	p(h	PERSON
ejpam-2552	33	5	bounded endomorphisms	ORG
ejpam-2552	34	1	‖x‖ = 1	WORK_OF_ART
ejpam-2552	34	2	two	CARDINAL
ejpam-2552	34	3	p(h	PRODUCT
ejpam-2552	35	1	p(h	PRODUCT
ejpam-2552	36	1	p(h	PRODUCT
ejpam-2552	36	2	∈	ORG
ejpam-2552	36	3	∈	ORG
ejpam-2552	36	4	∈	ORG
ejpam-2552	36	5	p(h	GPE
ejpam-2552	38	1	l(h	PRODUCT
ejpam-2552	39	1	first	ORDINAL
ejpam-2552	39	2	section 3	DATE
ejpam-2552	40	1	2.1.1	CARDINAL
ejpam-2552	41	1	two	CARDINAL
ejpam-2552	41	2	d′	PERSON
ejpam-2552	41	3	2.2	CARDINAL
ejpam-2552	42	1	a. boudou	PERSON
ejpam-2552	42	2	s. viguier-pla	PERSON
ejpam-2552	43	1	j. pure	PERSON
ejpam-2552	43	2	11	CARDINAL
ejpam-2552	43	3	4	CARDINAL
ejpam-2552	43	4	2018	DATE
ejpam-2552	43	5	893	CARDINAL
ejpam-2552	43	6	z(b	PERSON
ejpam-2552	43	7	0	CARDINAL
ejpam-2552	46	1	∈	ORG
ejpam-2552	46	2	7→	CARDINAL
ejpam-2552	46	3	∈	ORG
ejpam-2552	46	4	only one	CARDINAL
ejpam-2552	46	5	l2(e	ORG
ejpam-2552	46	6	∈	ORG
ejpam-2552	46	7	za	PERSON
ejpam-2552	46	8	1a	CARDINAL
ejpam-2552	49	1	n ∈ n	PRODUCT
ejpam-2552	49	2	δen(b)zn	ORG
ejpam-2552	49	3	n ∈ n	ORG
ejpam-2552	50	1	∈	ORG
ejpam-2552	50	2	7→∑	FAC
ejpam-2552	50	3	δen(b)zn ∈ h	ORG
ejpam-2552	50	4	n ∈ n	PRODUCT
ejpam-2552	51	1	e′, ξ′	DATE
ejpam-2552	51	2	second	ORDINAL
ejpam-2552	54	1	ξ′ 7→	CARDINAL
ejpam-2552	55	1	r.m.	GPE
ejpam-2552	55	2	f(µz	ORG
ejpam-2552	55	3	ϕ′	DATE
ejpam-2552	55	4	ξ′	DATE
ejpam-2552	55	5	l2(e	ORG
ejpam-2552	55	6	∫ ϕ′df(z	ORG
ejpam-2552	58	1	∈	ORG
ejpam-2552	58	2	7→	CARDINAL
ejpam-2552	60	1	x0	ORG
ejpam-2552	60	2	r.	NORP
ejpam-2552	60	3	only one	CARDINAL
ejpam-2552	61	1	r.m.	ORG
ejpam-2552	63	1	r.	NORP
ejpam-2552	63	2	two	CARDINAL
ejpam-2552	64	1	′ t′	CARDINAL
ejpam-2552	65	1	r.	NORP
ejpam-2552	65	2	z and z ′	LAW
ejpam-2552	65	3	two	CARDINAL
ejpam-2552	65	4	two	CARDINAL
ejpam-2552	66	1	a′	ORG
ejpam-2552	68	1	0	CARDINAL
ejpam-2552	69	1	2.3	CARDINAL
ejpam-2552	70	1	s.m.	GPE
ejpam-2552	71	1	p(h	PRODUCT
ejpam-2552	72	1	a. boudou	PERSON
ejpam-2552	72	2	s. viguier-pla	PERSON
ejpam-2552	73	1	j. pure	PERSON
ejpam-2552	73	2	11	CARDINAL
ejpam-2552	73	3	4	CARDINAL
ejpam-2552	73	4	2018	DATE
ejpam-2552	73	5	893	CARDINAL
ejpam-2552	73	6	∈	ORG
ejpam-2552	73	7	7→	CARDINAL
ejpam-2552	73	8	e′	GPE
ejpam-2552	74	1	ξ′ 7→	DATE
ejpam-2552	75	1	ξ′	DATE
ejpam-2552	75	2	s.m.	GPE
ejpam-2552	78	1	two	CARDINAL
ejpam-2552	79	1	two	CARDINAL
ejpam-2552	79	2	one	CARDINAL
ejpam-2552	79	3	s.m.	GPE
ejpam-2552	79	4	only one	CARDINAL
ejpam-2552	80	1	s.m.	GPE
ejpam-2552	80	2	∈	ORG
ejpam-2552	80	3	7→	CARDINAL
ejpam-2552	81	1	∈	ORG
ejpam-2552	82	1	1	CARDINAL
ejpam-2552	84	1	∈	ORG
ejpam-2552	84	2	7→	CARDINAL
ejpam-2552	84	3	∈	ORG
ejpam-2552	84	4	s.m.	GPE
ejpam-2552	85	1	one	CARDINAL
ejpam-2552	85	2	j ∈ n	PERSON
ejpam-2552	86	1	s.m.	GPE
ejpam-2552	86	2	second	ORDINAL
ejpam-2552	87	1	j ∈ n	PERSON
ejpam-2552	90	1	f1	PERSON
ejpam-2552	90	2	f2	ORG
ejpam-2552	90	3	two	CARDINAL
ejpam-2552	90	4	s.m.	GPE
ejpam-2552	90	5	∗	CARDINAL
ejpam-2552	91	1	w	ORG
ejpam-2552	91	2	∈	ORG
ejpam-2552	91	3	7→	CARDINAL
ejpam-2552	91	4	∈	ORG
ejpam-2552	94	1	o	DATE
ejpam-2552	98	1	s.m.	GPE
ejpam-2552	99	1	2.4	CARDINAL
ejpam-2552	100	1	m(e	ORG
ejpam-2552	100	2	s.m.	GPE
ejpam-2552	101	1	σ−field	GPE
ejpam-2552	101	2	h. m(e	PERSON
ejpam-2552	104	1	‖x‖ = 1	PRODUCT
ejpam-2552	105	1	m(e	ORG
ejpam-2552	105	2	∈	ORG
ejpam-2552	105	3	7→	CARDINAL
ejpam-2552	107	1	linear	ORG
ejpam-2552	107	2	a. boudou	PERSON
ejpam-2552	107	3	s. viguier-pla	PERSON
ejpam-2552	108	1	j. pure	PERSON
ejpam-2552	108	2	11	CARDINAL
ejpam-2552	108	3	4	CARDINAL
ejpam-2552	108	4	2018	DATE
ejpam-2552	108	5	893	CARDINAL
ejpam-2552	109	1	m(e	ORG
ejpam-2552	113	1	∑ j∈jn αn	PERSON
ejpam-2552	113	2	j1bn	GPE
ejpam-2552	113	3	j ∈	PERSON
ejpam-2552	116	1	l2(µzxe	GPE
ejpam-2552	117	1	zxe	GPE
ejpam-2552	119	1	∑ j∈jn αn	PERSON
ejpam-2552	119	2	jz λx+λ′x′ e	PERSON
ejpam-2552	119	3	∑ j∈jn αn	PERSON
ejpam-2552	119	4	jz x e	PERSON
ejpam-2552	119	5	∑ j∈jn αn	PERSON
ejpam-2552	119	6	x′	CARDINAL
ejpam-2552	120	1	= e(bn	PERSON
ejpam-2552	121	1	j)x	PERSON
ejpam-2552	126	1	6	CARDINAL
ejpam-2552	126	2	‖x‖ = 1	PRODUCT
ejpam-2552	127	1	m(e	ORG
ejpam-2552	128	1	2.4.2	PERSON
ejpam-2552	129	1	7→	CARDINAL
ejpam-2552	129	2	l(h	PRODUCT
ejpam-2552	133	1	σ−field	GPE
ejpam-2552	133	2	e′	GPE
ejpam-2552	133	3	m(e	ORG
ejpam-2552	136	1	|2dµzxe	TIME
ejpam-2552	136	2	|ϕ|2	PERSON
ejpam-2552	137	1	|ϕ|2dµzx f(e	PERSON
ejpam-2552	137	2	m(e	ORG
ejpam-2552	145	1	0	CARDINAL
ejpam-2552	148	1	lemma 2.4.1	ORG
ejpam-2552	149	1	two	CARDINAL
ejpam-2552	150	1	a. boudou	PERSON
ejpam-2552	150	2	s. viguier-pla	PERSON
ejpam-2552	151	1	j. pure	PERSON
ejpam-2552	151	2	11	CARDINAL
ejpam-2552	151	3	4	CARDINAL
ejpam-2552	151	4	2018	DATE
ejpam-2552	151	5	893	CARDINAL
ejpam-2552	152	1	two	CARDINAL
ejpam-2552	153	1	s−1[−a	ORG
ejpam-2552	153	2	⊗ e2([−a1	PERCENT
ejpam-2552	153	3	∗ e2([−a	DATE
ejpam-2552	153	4	6	CARDINAL
ejpam-2552	153	5	∗ e2([−a	DATE
ejpam-2552	155	1	∈	ORG
ejpam-2552	155	2	7→	CARDINAL
ejpam-2552	155	3	∈	ORG
ejpam-2552	155	4	n ∈ n	PRODUCT
ejpam-2552	156	1	bounded s.m.	ORG
ejpam-2552	157	1	m(r	PRODUCT
ejpam-2552	158	1	lemma 2.4.2	ORG
ejpam-2552	161	1	0	CARDINAL
ejpam-2552	161	2	7→	CARDINAL
ejpam-2552	161	3	bounded s.m.	ORG
ejpam-2552	162	1	l(h	PRODUCT
ejpam-2552	165	1	limn ∑n p=0	PERSON
ejpam-2552	166	1	∑n p=0	PERSON
ejpam-2552	166	2	= limn ∑n p=0	PERSON
ejpam-2552	173	1	s.m.	GPE
ejpam-2552	173	2	limn(e(bn))x	PRODUCT
ejpam-2552	175	1	first	ORDINAL
ejpam-2552	175	2	that∑	NORP
ejpam-2552	175	3	0	CARDINAL
ejpam-2552	175	4	one	CARDINAL
ejpam-2552	175	5	limn ∑ p∈n fn	PERSON
ejpam-2552	175	6	0	CARDINAL
ejpam-2552	177	1	limn ∑ p∈n δµp(bn)‖dpx‖2	PERSON
ejpam-2552	178	1	a. boudou	PERSON
ejpam-2552	178	2	s. viguier-pla	PERSON
ejpam-2552	179	1	j. pure	PERSON
ejpam-2552	179	2	11	CARDINAL
ejpam-2552	179	3	4	CARDINAL
ejpam-2552	179	4	2018	DATE
ejpam-2552	179	5	893	CARDINAL
ejpam-2552	179	6	0	CARDINAL
ejpam-2552	180	1	s.m.	GPE
ejpam-2552	181	1	e({[−a	PERSON
ejpam-2552	182	1	section 2.2	LAW
ejpam-2552	184	1	∑p k=0	PERSON
ejpam-2552	185	1	r∗+	NORP
ejpam-2552	186	1	6	CARDINAL
ejpam-2552	187	1	j of n	WORK_OF_ART
ejpam-2552	187	2	0	CARDINAL
ejpam-2552	187	3	1	DATE
ejpam-2552	188	1	1	CARDINAL
ejpam-2552	188	2	6	CARDINAL
ejpam-2552	188	3	∈	ORG
ejpam-2552	188	4	6	CARDINAL
ejpam-2552	189	1	l(h	PRODUCT
ejpam-2552	192	1	2.5	CARDINAL
ejpam-2552	193	1	dunford	ORG
ejpam-2552	193	2	schwartz	GPE
ejpam-2552	193	3	1963	DATE
ejpam-2552	193	4	1991	DATE
ejpam-2552	196	1	only one	CARDINAL
ejpam-2552	196	2	bounded s.m. e , named	ORG
ejpam-2552	196	3	s.m.	GPE
ejpam-2552	196	4	jdzxe	PERSON
ejpam-2552	197	1	s.m.	GPE
ejpam-2552	197	2	‖a‖	NORP
ejpam-2552	203	1	∈	ORG
ejpam-2552	203	2	7→	CARDINAL
ejpam-2552	203	3	∈	ORG
ejpam-2552	203	4	7→	CARDINAL
ejpam-2552	203	5	∈ p(h	PERSON
ejpam-2552	205	1	m−1 k=0	PERSON
ejpam-2552	205	2	2a	CARDINAL
ejpam-2552	205	3	2a	CARDINAL
ejpam-2552	206	1	l(h	LOC
ejpam-2552	208	1	2.5.1	CARDINAL
ejpam-2552	209	1	bounded	ORG
ejpam-2552	213	1	∫ jndzxe	ORG
ejpam-2552	213	2	∫ jdzxe	ORG
ejpam-2552	217	1	a. boudou	PERSON
ejpam-2552	217	2	s. viguier-pla	PERSON
ejpam-2552	218	1	j. pure	PERSON
ejpam-2552	218	2	11	CARDINAL
ejpam-2552	218	3	4	CARDINAL
ejpam-2552	218	4	2018	DATE
ejpam-2552	218	5	893	CARDINAL
ejpam-2552	218	6	1	CARDINAL
ejpam-2552	219	1	2.5.1	CARDINAL
ejpam-2552	223	1	1b	CARDINAL
ejpam-2552	223	2	1b	CARDINAL
ejpam-2552	223	3	∑ j∈jm αj	PERSON
ejpam-2552	223	4	nj	ORG
ejpam-2552	224	1	2.5.1	CARDINAL
ejpam-2552	224	2	2.5.1	CARDINAL
ejpam-2552	224	3	l2(µzxe	GPE
ejpam-2552	224	4	ztxe	PERSON
ejpam-2552	224	5	∑ j∈jm αj	PERSON
ejpam-2552	224	6	ma nj	PERSON
ejpam-2552	224	7	2.5.2	CARDINAL
ejpam-2552	224	8	∑ j∈jm αj	PERSON
ejpam-2552	224	9	ma nj	PERSON
ejpam-2552	224	10	mx	PRODUCT
ejpam-2552	224	11	∑ j∈jm αj	PERSON
ejpam-2552	224	12	mta nj	ORG
ejpam-2552	224	13	mx	PRODUCT
ejpam-2552	224	14	2.5.2	CARDINAL
ejpam-2552	224	15	anj	ORG
ejpam-2552	226	1	2.5.2	CARDINAL
ejpam-2552	231	1	∑ j∈jm αj	PERSON
ejpam-2552	231	2	m1bj	NORP
ejpam-2552	231	3	∈	ORG
ejpam-2552	232	1	2.5.3	CARDINAL
ejpam-2552	232	2	2.5.3	CARDINAL
ejpam-2552	232	3	l2(µzxe	GPE
ejpam-2552	232	4	ztxe	PERSON
ejpam-2552	232	5	zxe	GPE
ejpam-2552	232	6	∑ j∈jm αj	PERSON
ejpam-2552	232	7	m))tx	DATE
ejpam-2552	232	8	2.5.4	CARDINAL
ejpam-2552	232	9	∑ j∈jm αj	PERSON
ejpam-2552	232	10	∑ j∈jm αj,	PERSON
ejpam-2552	232	11	2.5.4	CARDINAL
ejpam-2552	233	1	two	CARDINAL
ejpam-2552	234	1	2.5.3	CARDINAL
ejpam-2552	235	1	two	CARDINAL
ejpam-2552	235	2	a′	ORG
ejpam-2552	237	1	2.5.4	CARDINAL
ejpam-2552	238	1	a′	ORG
ejpam-2552	238	2	two	CARDINAL
ejpam-2552	238	3	s.m.	GPE
ejpam-2552	238	4	a+a′. a. boudou	PERSON
ejpam-2552	238	5	s. viguier-pla	PERSON
ejpam-2552	239	1	j. pure	PERSON
ejpam-2552	239	2	11	CARDINAL
ejpam-2552	239	3	4	CARDINAL
ejpam-2552	239	4	2018	DATE
ejpam-2552	239	5	893	CARDINAL
ejpam-2552	240	1	first	ORDINAL
ejpam-2552	240	2	a′	ORG
ejpam-2552	240	3	bounded s.m.	ORG
ejpam-2552	241	1	s.m.	GPE
ejpam-2552	244	1	∈	ORG
ejpam-2552	244	2	7→	CARDINAL
ejpam-2552	244	3	∈	ORG
ejpam-2552	245	1	∈	ORG
ejpam-2552	245	2	7→	CARDINAL
ejpam-2552	245	3	∈	ORG
ejpam-2552	248	1	⊗ e ′	ORG
ejpam-2552	250	1	s.m.	GPE
ejpam-2552	250	2	tom(r	GPE
ejpam-2552	250	3	tom(r	GPE
ejpam-2552	250	4	e⊗e ′	DATE
ejpam-2552	251	1	tom(r×r	NORP
ejpam-2552	252	1	e ⊗e ′)j◦p	ORG
ejpam-2552	253	1	e⊗e	CARDINAL
ejpam-2552	254	1	, e⊗e ′) 7→	DATE
ejpam-2552	254	2	∈	ORG
ejpam-2552	255	1	⊗	CARDINAL
ejpam-2552	255	2	2.5.5	CARDINAL
ejpam-2552	256	1	2.5.5	CARDINAL
ejpam-2552	257	1	s(e ⊗ e ′))j =	PERSON
ejpam-2552	258	1	3	CARDINAL
ejpam-2552	259	1	s.m.’s	GPE
ejpam-2552	259	2	r∗+	NORP
ejpam-2552	261	1	3.1	CARDINAL
ejpam-2552	262	1	two	CARDINAL
ejpam-2552	265	1	two	CARDINAL
ejpam-2552	268	1	2α	CARDINAL
ejpam-2552	272	1	2α	CARDINAL
ejpam-2552	275	1	2α	CARDINAL
ejpam-2552	278	1	2α	CARDINAL
ejpam-2552	281	1	3.1	CARDINAL
ejpam-2552	282	1	three	CARDINAL
ejpam-2552	292	1	a. boudou	PERSON
ejpam-2552	292	2	s. viguier-pla	PERSON
ejpam-2552	293	1	j. pure	PERSON
ejpam-2552	293	2	11	CARDINAL
ejpam-2552	293	3	4	CARDINAL
ejpam-2552	293	4	2018	DATE
ejpam-2552	293	5	893	CARDINAL
ejpam-2552	295	1	−α′	ORG
ejpam-2552	299	1	3.2	CARDINAL
ejpam-2552	300	1	r∗+	NORP
ejpam-2552	300	2	two	CARDINAL
ejpam-2552	306	1	−αn	NORP
ejpam-2552	307	1	−αn	NORP
ejpam-2552	308	1	−αn	NORP
ejpam-2552	309	1	−αn	NORP
ejpam-2552	311	1	−αn	NORP
ejpam-2552	316	1	αn]))x	CARDINAL
ejpam-2552	318	1	−αn	NORP
ejpam-2552	318	2	αn]))x	CARDINAL
ejpam-2552	318	3	−αn	NORP
ejpam-2552	324	1	s.m.	GPE
ejpam-2552	324	2	0	CARDINAL
ejpam-2552	325	1	3.3	CARDINAL
ejpam-2552	328	1	e([−α	ORG
ejpam-2552	330	1	s.m.	GPE
ejpam-2552	331	1	e([−α	ORG
ejpam-2552	334	1	0 6∈	CARDINAL
ejpam-2552	334	2	thenb∩[−α	ORG
ejpam-2552	334	3	0	CARDINAL
ejpam-2552	339	1	two	CARDINAL
ejpam-2552	341	1	0	CARDINAL
ejpam-2552	342	1	first	ORDINAL
ejpam-2552	343	1	⊂ b+[−α	GPE
ejpam-2552	346	1	second	ORDINAL
ejpam-2552	348	1	s.m.	GPE
ejpam-2552	352	1	first	ORDINAL
ejpam-2552	353	1	3.1	CARDINAL
ejpam-2552	354	1	two	CARDINAL
ejpam-2552	356	1	a. boudou	PERSON
ejpam-2552	356	2	s. viguier-pla	PERSON
ejpam-2552	357	1	j. pure	PERSON
ejpam-2552	357	2	11	CARDINAL
ejpam-2552	357	3	4	CARDINAL
ejpam-2552	357	4	2018	DATE
ejpam-2552	357	5	893	CARDINAL
ejpam-2552	360	1	⊗	PERSON
ejpam-2552	369	1	⊂	GPE
ejpam-2552	377	1	s.m.	GPE
ejpam-2552	378	1	3.2	CARDINAL
ejpam-2552	379	1	s.m.	GPE
ejpam-2552	380	1	e(λ	GPE
ejpam-2552	382	1	two	CARDINAL
ejpam-2552	382	2	s.m.	GPE
ejpam-2552	384	1	r.	NORP
ejpam-2552	384	2	section 2.3	LAW
ejpam-2552	387	1	s.m.	GPE
ejpam-2552	394	1	section 2.1	LAW
ejpam-2552	394	2	e ∗ e1(b	ORG
ejpam-2552	397	1	s.m.	GPE
ejpam-2552	397	2	s.m.	GPE
ejpam-2552	399	1	∈	ORG
ejpam-2552	399	2	7→	CARDINAL
ejpam-2552	399	3	n∗	ORG
ejpam-2552	401	1	3.4	CARDINAL
ejpam-2552	402	1	n of n∗	ORG
ejpam-2552	402	2	1 n∼	CARDINAL
ejpam-2552	402	3	n∼	ORG
ejpam-2552	402	4	e. proof	PERSON
ejpam-2552	403	1	6	CARDINAL
ejpam-2552	403	2	a. boudou	PERSON
ejpam-2552	403	3	s. viguier-pla	PERSON
ejpam-2552	404	1	j. pure	PERSON
ejpam-2552	404	2	11	CARDINAL
ejpam-2552	404	3	4	CARDINAL
ejpam-2552	404	4	2018	DATE
ejpam-2552	404	5	893	CARDINAL
ejpam-2552	406	1	1 n	QUANTITY
ejpam-2552	410	1	3.3	CARDINAL
ejpam-2552	410	2	1 n∼	CARDINAL
ejpam-2552	410	3	∗	CARDINAL
ejpam-2552	410	4	1 n∼	CARDINAL
ejpam-2552	411	1	3.1	CARDINAL
ejpam-2552	411	2	3.1	CARDINAL
ejpam-2552	411	3	3.2	CARDINAL
ejpam-2552	412	1	3.5	CARDINAL
ejpam-2552	413	1	two	CARDINAL
ejpam-2552	413	2	s.m.’s	GPE
ejpam-2552	413	3	third	ORDINAL
ejpam-2552	416	1	n of n∗	ORG
ejpam-2552	416	2	1 n∼	CARDINAL
ejpam-2552	417	1	s.m.	GPE
ejpam-2552	417	2	3.1	CARDINAL
ejpam-2552	417	3	∗	CARDINAL
ejpam-2552	417	4	1	CARDINAL
ejpam-2552	417	5	lne ∗	PRODUCT
ejpam-2552	417	6	1	CARDINAL
ejpam-2552	418	1	3.1	CARDINAL
ejpam-2552	418	2	lne ∗ e2 1	PRODUCT
ejpam-2552	419	1	3.2	CARDINAL
ejpam-2552	419	2	3.2	CARDINAL
ejpam-2552	419	3	lne ∗ e1	PERSON
ejpam-2552	420	1	3.3	CARDINAL
ejpam-2552	420	2	3.1	CARDINAL
ejpam-2552	420	3	3.2	CARDINAL
ejpam-2552	420	4	3.3	CARDINAL
ejpam-2552	420	5	e ∗ e1 α+	ORG
ejpam-2552	420	6	2	CARDINAL
ejpam-2552	420	7	∗ e2	ORG
ejpam-2552	421	1	2 n)n∈n∗	DATE
ejpam-2552	421	2	3.2	CARDINAL
ejpam-2552	422	1	4	CARDINAL
ejpam-2552	422	2	selfadjoint	NORP
ejpam-2552	422	3	‖a‖	GPE
ejpam-2552	422	4	3.3	CARDINAL
ejpam-2552	423	1	4.1	CARDINAL
ejpam-2552	427	1	s.m.	GPE
ejpam-2552	428	1	0	CARDINAL
ejpam-2552	428	2	s.m.’s	GPE
ejpam-2552	430	1	4.1	CARDINAL
ejpam-2552	431	1	a′	ORG
ejpam-2552	431	2	two	CARDINAL
ejpam-2552	431	3	s.m.	GPE
ejpam-2552	431	4	bounded	ORG
ejpam-2552	431	5	a−a′. a.	PERSON
ejpam-2552	431	6	s. viguier-pla	PERSON
ejpam-2552	432	1	j. pure	PERSON
ejpam-2552	432	2	11	CARDINAL
ejpam-2552	432	3	4	CARDINAL
ejpam-2552	432	4	2018	DATE
ejpam-2552	432	5	893	CARDINAL
ejpam-2552	433	1	a′	ORG
ejpam-2552	434	1	jdw(zxe ′	WORK_OF_ART
ejpam-2552	438	1	2.5.4	CARDINAL
ejpam-2552	438	2	s.m.	GPE
ejpam-2552	440	1	4.2	CARDINAL
ejpam-2552	441	1	a′	ORG
ejpam-2552	441	2	two	CARDINAL
ejpam-2552	441	3	s.m.	GPE
ejpam-2552	442	1	bounded	ORG
ejpam-2552	442	2	4.1	CARDINAL
ejpam-2552	444	1	3.1	CARDINAL
ejpam-2552	444	2	′ ∗	CARDINAL
ejpam-2552	447	1	4.3	CARDINAL
ejpam-2552	448	1	s.m.	GPE
ejpam-2552	448	2	bounded	ORG
ejpam-2552	448	3	a′	ORG
ejpam-2552	449	1	‖a−	NORP
ejpam-2552	451	1	3.5	CARDINAL
ejpam-2552	452	1	3.3	CARDINAL
ejpam-2552	454	1	∈	PRODUCT
ejpam-2552	454	2	a−a′.	PERSON
ejpam-2552	454	3	6	CARDINAL
ejpam-2552	455	1	s.m.	GPE
ejpam-2552	455	2	two	CARDINAL
ejpam-2552	457	1	4.2	CARDINAL
ejpam-2552	457	2	two	CARDINAL
ejpam-2552	457	3	s.m.	GPE
ejpam-2552	458	1	s.m.	GPE
ejpam-2552	460	1	two	CARDINAL
ejpam-2552	460	2	0	CARDINAL
ejpam-2552	461	1	1	CARDINAL
ejpam-2552	462	1	x′	DATE
ejpam-2552	463	1	− h. a. boudou	PERSON
ejpam-2552	463	2	s. viguier-pla	PERSON
ejpam-2552	464	1	j. pure	PERSON
ejpam-2552	464	2	11	CARDINAL
ejpam-2552	464	3	4	CARDINAL
ejpam-2552	464	4	2018	DATE
ejpam-2552	464	5	893	CARDINAL
ejpam-2552	467	1	6 2‖h‖	QUANTITY
ejpam-2552	467	2	1 2	CARDINAL
ejpam-2552	468	1	x′	DATE
ejpam-2552	469	1	x′	DATE
ejpam-2552	470	1	two	CARDINAL
ejpam-2552	471	1	a′	ORG
ejpam-2552	471	2	r∗	PERSON
ejpam-2552	472	1	s.m.	GPE
ejpam-2552	472	2	a′	ORG
ejpam-2552	473	1	‖a−a ′‖∼ e	PERSON
ejpam-2552	476	1	6∈	CARDINAL
ejpam-2552	483	1	‖a−a ′‖∼ e	PERSON
ejpam-2552	484	1	5	CARDINAL
ejpam-2552	486	1	l(h	LOC
ejpam-2552	489	1	0	CARDINAL
ejpam-2552	490	1	0	CARDINAL
ejpam-2552	490	2	kera = im(i −d	PERSON
ejpam-2552	491	1	0	CARDINAL
ejpam-2552	493	1	= kera	PERSON
ejpam-2552	493	2	i.	PERSON
ejpam-2552	494	1	5.1	CARDINAL
ejpam-2552	495	1	a. boudou	PERSON
ejpam-2552	495	2	s. viguier-pla	PERSON
ejpam-2552	496	1	j. pure	PERSON
ejpam-2552	496	2	11	CARDINAL
ejpam-2552	496	3	4	CARDINAL
ejpam-2552	496	4	2018	DATE
ejpam-2552	496	5	893	CARDINAL
ejpam-2552	497	1	7→	CARDINAL
ejpam-2552	497	2	bounded s.m.	ORG
ejpam-2552	497	3	a. proof	PERSON
ejpam-2552	499	1	= i.	PERSON
ejpam-2552	499	2	lemma 2.4.2	ORG
ejpam-2552	499	3	7→	CARDINAL
ejpam-2552	499	4	bounded s.m.	ORG
ejpam-2552	503	1	limn ∑n	PERSON
ejpam-2552	503	2	k=0	PERSON
ejpam-2552	504	1	limn ∑n k=0	PERSON
ejpam-2552	506	1	∈	ORG
ejpam-2552	507	1	two	CARDINAL
ejpam-2552	508	1	5.2	CARDINAL
ejpam-2552	509	1	two	CARDINAL
ejpam-2552	510	1	1	CARDINAL
ejpam-2552	510	2	2	CARDINAL
ejpam-2552	511	1	∑ k:µ1p−α6µ2k6µ1p+α d2 k � ∑	PERSON
ejpam-2552	512	1	4.2	CARDINAL
ejpam-2552	513	1	bounded s.m.’s	ORG
ejpam-2552	515	1	e1({µ1p	GPE
ejpam-2552	515	2	2α;µ1p + 2α	CARDINAL
ejpam-2552	516	1	∑ k:µ1p−α6µ2k6µ1p+α d2 k � ∑	PERSON
ejpam-2552	516	2	1	CARDINAL
ejpam-2552	516	3	2α;µ1p + 2α	CARDINAL
ejpam-2552	517	1	5.1	CARDINAL
ejpam-2552	518	1	two	CARDINAL
ejpam-2552	519	1	1	CARDINAL
ejpam-2552	519	2	2	CARDINAL
ejpam-2552	520	1	a. boudou	PERSON
ejpam-2552	520	2	s. viguier-pla	PERSON
ejpam-2552	521	1	j. pure	PERSON
ejpam-2552	521	2	11	CARDINAL
ejpam-2552	521	3	4	CARDINAL
ejpam-2552	521	4	2018	DATE
ejpam-2552	521	5	893	CARDINAL
ejpam-2552	522	1	2α	CARDINAL
ejpam-2552	522	2	1	CARDINAL
ejpam-2552	522	3	k:µ1p−α6µ2k6µ1p+α d2 k. moreover	PERSON
ejpam-2552	522	4	2	CARDINAL
ejpam-2552	522	5	2α	CARDINAL
ejpam-2552	522	6	2α	CARDINAL
ejpam-2552	522	7	∑ k:µ1p−α6µ2k<µ1p6α d2 k. proof	PERSON
ejpam-2552	523	1	2α	CARDINAL
ejpam-2552	523	2	k ∈ n;µ11	ORG
ejpam-2552	524	1	2α	CARDINAL
ejpam-2552	524	2	1	CARDINAL
ejpam-2552	525	1	1	CARDINAL
ejpam-2552	525	2	first	ORDINAL
ejpam-2552	525	3	5.2	CARDINAL
ejpam-2552	526	1	second	ORDINAL
ejpam-2552	526	2	{k ∈ n;µ1p	PERSON
ejpam-2552	526	3	2α	CARDINAL
ejpam-2552	528	1	at least one	CARDINAL
ejpam-2552	528	2	a2	ORG
ejpam-2552	529	1	6	CARDINAL
ejpam-2552	529	2	{pj	PERSON
ejpam-2552	529	3	j = 1	PERSON
ejpam-2552	531	1	1	CARDINAL
ejpam-2552	533	1	1	CARDINAL
ejpam-2552	535	1	k}	PERSON
ejpam-2552	537	1	a.	PERSON
ejpam-2552	541	1	s.m.	GPE
ejpam-2552	542	1	2	CARDINAL
ejpam-2552	542	2	0.4	CARDINAL
ejpam-2552	542	3	2	CARDINAL
ejpam-2552	542	4	2 n	QUANTITY
ejpam-2552	542	5	0.4 + 1/2n	CARDINAL
ejpam-2552	543	1	909	CARDINAL
ejpam-2552	543	2	1	CARDINAL
ejpam-2552	543	3	three	CARDINAL
ejpam-2552	543	4	2	CARDINAL
ejpam-2552	543	5	two	CARDINAL
ejpam-2552	543	6	1	CARDINAL
ejpam-2552	544	1	2	CARDINAL
ejpam-2552	544	2	1	CARDINAL
ejpam-2552	544	3	10	CARDINAL
ejpam-2552	546	1	1	CARDINAL
ejpam-2552	548	1	oxford	NORP
ejpam-2552	549	1	oxford	NORP
ejpam-2552	549	2	910	CARDINAL
ejpam-2552	549	3	423–451	MONEY
ejpam-2552	549	4	oxford	NORP
ejpam-2552	549	5	2011	DATE
ejpam-2552	550	1	2	CARDINAL
ejpam-2552	550	2	s. viguier-pla	PERSON
ejpam-2552	552	1	proba	PERSON
ejpam-2552	553	1	80:1724–1732	CARDINAL
ejpam-2552	553	2	2010	DATE
ejpam-2552	554	1	3	CARDINAL
ejpam-2552	554	2	n. dunford	PERSON
ejpam-2552	554	3	j. schwartz	PERSON
ejpam-2552	555	1	linear operators	ORG
ejpam-2552	556	1	new-york	GPE
ejpam-2552	556	2	1963	DATE
ejpam-2552	557	1	4	CARDINAL
ejpam-2552	557	2	f. riesz	PERSON
ejpam-2552	557	3	b. nagy	PERSON
ejpam-2552	559	1	dover	GPE
ejpam-2552	559	2	1991	DATE