id	sid	eid	entity	type
ejpam-3237	1	1	european journal	ORG
ejpam-3237	2	1	11	CARDINAL
ejpam-3237	2	2	3, 2018	DATE
ejpam-3237	2	3	793	CARDINAL
ejpam-3237	2	4	new york	GPE
ejpam-3237	2	5	m. iranmanesh1,∗	PERSON
ejpam-3237	2	6	m. saeedi khojasteh1	PERSON
ejpam-3237	2	7	m. k. anwary2	PERSON
ejpam-3237	3	1	1	CARDINAL
ejpam-3237	3	2	iran 2	ORG
ejpam-3237	3	3	university of mashhad	ORG
ejpam-3237	3	4	iran	GPE
ejpam-3237	4	1	linear spaces	ORG
ejpam-3237	5	1	normed	ORG
ejpam-3237	7	1	1	CARDINAL
ejpam-3237	7	2	p(x	PERSON
ejpam-3237	9	1	zn−2 ∈	PERSON
ejpam-3237	9	2	−1	DATE
ejpam-3237	9	3	px	ORG
ejpam-3237	9	4	z1,...,zn−2,y	ORG
ejpam-3237	11	1	zn−2	PRODUCT
ejpam-3237	12	1	linear spaces	ORG
ejpam-3237	13	1	birkhoff orthogonality	PERSON
ejpam-3237	13	2	minkowski plane	PERSON
ejpam-3237	13	3	1	CARDINAL
ejpam-3237	14	1	linear spaces	ORG
ejpam-3237	14	2	normed spaces	ORG
ejpam-3237	17	1	two	CARDINAL
ejpam-3237	17	2	〉	CARDINAL
ejpam-3237	17	3	0	CARDINAL
ejpam-3237	18	1	m.saeedi64@gmail.com	ORG
ejpam-3237	18	2	m. saeedi khojasteh	PERSON
ejpam-3237	18	3	m. k. anwary	PERSON
ejpam-3237	19	1	793	CARDINAL
ejpam-3237	19	2	2018	DATE
ejpam-3237	20	1	m. iranmanesh	PERSON
ejpam-3237	20	2	m. saeedi khojasteh	PERSON
ejpam-3237	20	3	m. k. anwary / eur	PERSON
ejpam-3237	21	1	j. pure	PERSON
ejpam-3237	21	2	11	CARDINAL
ejpam-3237	21	3	3	CARDINAL
ejpam-3237	21	4	2018	DATE
ejpam-3237	21	5	793-802 794	QUANTITY
ejpam-3237	21	6	normed spaces	ORG
ejpam-3237	23	1	one	CARDINAL
ejpam-3237	23	2	james orthogonality	PERSON
ejpam-3237	23	3	2	CARDINAL
ejpam-3237	24	1	x.	GPE
ejpam-3237	24	2	1	CARDINAL
ejpam-3237	24	3	6	CARDINAL
ejpam-3237	25	1	1993	DATE
ejpam-3237	25	2	milicic	PERSON
ejpam-3237	26	1	normed	ORG
ejpam-3237	30	1	r. moreover	PERSON
ejpam-3237	30	2	1	CARDINAL
ejpam-3237	30	3	2	DATE
ejpam-3237	30	4	δei(ej	ORG
ejpam-3237	30	5	0	CARDINAL
ejpam-3237	30	6	6=	CARDINAL
ejpam-3237	31	1	1	CARDINAL
ejpam-3237	31	2	l(x	PERSON
ejpam-3237	31	3	x.	GPE
ejpam-3237	33	1	f(x	ORG
ejpam-3237	34	1	〉	CARDINAL
ejpam-3237	34	2	〉	CARDINAL
ejpam-3237	36	1	tx	ORG
ejpam-3237	37	1	2	CARDINAL
ejpam-3237	38	1	〉	CARDINAL
ejpam-3237	38	2	〉	CARDINAL
ejpam-3237	38	3	〉	CARDINAL
ejpam-3237	39	1	two	CARDINAL
ejpam-3237	41	1	|dxy|	EVENT
ejpam-3237	43	1	∈	ORG
ejpam-3237	45	1	1	CARDINAL
ejpam-3237	46	1	1 |dxy|	DATE
ejpam-3237	46	2	x1y2 −x1y1 x2y2	PERSON
ejpam-3237	48	1	m. iranmanesh	PERSON
ejpam-3237	48	2	m. saeedi khojasteh	PERSON
ejpam-3237	48	3	m. k. anwary / eur	PERSON
ejpam-3237	49	1	j. pure	PERSON
ejpam-3237	49	2	11	CARDINAL
ejpam-3237	49	3	3	CARDINAL
ejpam-3237	49	4	2018	DATE
ejpam-3237	49	5	793-802 795	QUANTITY
ejpam-3237	49	6	two	CARDINAL
ejpam-3237	49	7	1 ≤	QUANTITY
ejpam-3237	50	1	p(x	PERSON
ejpam-3237	50	2	0 x	QUANTITY
ejpam-3237	53	1	〉	CARDINAL
ejpam-3237	53	2	p(x	PERSON
ejpam-3237	55	1	x.	ORG
ejpam-3237	55	2	ω	CARDINAL
ejpam-3237	55	3	ω ∈	ORG
ejpam-3237	56	1	ω(i	CARDINAL
ejpam-3237	57	1	1	CARDINAL
ejpam-3237	58	1	ω(a	ORG
ejpam-3237	59	1	ω ∈ ω	ORG
ejpam-3237	61	1	x∗x	DATE
ejpam-3237	61	2	1	CARDINAL
ejpam-3237	62	1	3	CARDINAL
ejpam-3237	62	2	5	CARDINAL
ejpam-3237	63	1	two	CARDINAL
ejpam-3237	63	2	dh(ω1,ω2	PERSON
ejpam-3237	63	3	max x2∈ω2 min	PERSON
ejpam-3237	63	4	x0	ORG
ejpam-3237	63	5	0	CARDINAL
ejpam-3237	64	1	ρ(x0	CARDINAL
ejpam-3237	65	1	1	CARDINAL
ejpam-3237	66	1	1	CARDINAL
ejpam-3237	68	1	x0	ORG
ejpam-3237	70	1	x0	ORG
ejpam-3237	72	1	x0	ORG
ejpam-3237	72	2	n(x0	GPE
ejpam-3237	74	1	x0	ORG
ejpam-3237	75	1	x0	ORG
ejpam-3237	75	2	∀x	GPE
ejpam-3237	75	3	n(x0	GPE
ejpam-3237	76	1	m. iranmanesh	PERSON
ejpam-3237	76	2	m. saeedi khojasteh	PERSON
ejpam-3237	76	3	m. k. anwary / eur	PERSON
ejpam-3237	77	1	j. pure	PERSON
ejpam-3237	77	2	11	CARDINAL
ejpam-3237	77	3	3	CARDINAL
ejpam-3237	77	4	2018	DATE
ejpam-3237	77	5	793	CARDINAL
ejpam-3237	77	6	x0	ORG
ejpam-3237	77	7	x0	ORG
ejpam-3237	79	1	n(x0	GPE
ejpam-3237	81	1	x0	ORG
ejpam-3237	81	2	6=	CARDINAL
ejpam-3237	81	3	∀x	GPE
ejpam-3237	81	4	n(x0	GPE
ejpam-3237	82	1	x0	ORG
ejpam-3237	85	1	1	CARDINAL
ejpam-3237	88	1	f(β	GPE
ejpam-3237	89	1	1	CARDINAL
ejpam-3237	91	1	⊆	CARDINAL
ejpam-3237	92	1	‖x‖ ≤	FAC
ejpam-3237	92	2	⊆	CARDINAL
ejpam-3237	93	1	1	CARDINAL
ejpam-3237	93	2	f(β	GPE
ejpam-3237	94	1	⊆	CARDINAL
ejpam-3237	95	1	2	CARDINAL
ejpam-3237	95	2	2	CARDINAL
ejpam-3237	98	1	xkn)t	PERSON
ejpam-3237	98	2	k = 1	PERSON
ejpam-3237	100	1	x.	GPE
ejpam-3237	104	1	xnn 	PERSON
ejpam-3237	107	1	m. iranmanesh	PERSON
ejpam-3237	107	2	m. saeedi khojasteh	PERSON
ejpam-3237	107	3	m. k. anwary / eur	PERSON
ejpam-3237	108	1	j. pure	PERSON
ejpam-3237	108	2	11	CARDINAL
ejpam-3237	108	3	3	CARDINAL
ejpam-3237	108	4	2018	DATE
ejpam-3237	108	5	793-802 797	QUANTITY
ejpam-3237	108	6	3	CARDINAL
ejpam-3237	111	1	xn)t	GPE
ejpam-3237	113	1	yn)t	ORG
ejpam-3237	113	2	two	CARDINAL
ejpam-3237	113	3	zk1	PERSON
ejpam-3237	115	1	zkn)t	GPE
ejpam-3237	115	2	1	CARDINAL
ejpam-3237	116	1	2	CARDINAL
ejpam-3237	116	2	px	ORG
ejpam-3237	118	1	zn−2	PRODUCT
ejpam-3237	120	1	zn−2	PRODUCT
ejpam-3237	120	2	px	ORG
ejpam-3237	120	3	z1,...,zn−2,y	ORG
ejpam-3237	125	1	1	CARDINAL
ejpam-3237	127	1	z1,...,zn−2,y	ORG
ejpam-3237	127	2	dx	ORG
ejpam-3237	127	3	z1,...,zn−2,y	ORG
ejpam-3237	128	1	1	CARDINAL
ejpam-3237	132	1	1	CARDINAL
ejpam-3237	134	1	d−1 x	PERSON
ejpam-3237	135	1	1	CARDINAL
ejpam-3237	136	1	two	CARDINAL
ejpam-3237	136	2	1 ≤ ‖px	MONEY
ejpam-3237	137	1	px	ORG
ejpam-3237	137	2	z1,...,zn−2,y	ORG
ejpam-3237	138	1	−1	DATE
ejpam-3237	138	2	p(x	PERSON
ejpam-3237	140	1	zn−2 ∈	PERSON
ejpam-3237	141	1	p(x	PERSON
ejpam-3237	142	1	zn−2 ∈ x	PERSON
ejpam-3237	142	2	1	CARDINAL
ejpam-3237	143	1	1	CARDINAL
ejpam-3237	144	1	4	CARDINAL
ejpam-3237	149	1	zn−2	PRODUCT
ejpam-3237	149	2	m. iranmanesh	PERSON
ejpam-3237	149	3	m. saeedi khojasteh	PERSON
ejpam-3237	149	4	m. k. anwary / eur	PERSON
ejpam-3237	150	1	j. pure	PERSON
ejpam-3237	150	2	11	CARDINAL
ejpam-3237	150	3	3	CARDINAL
ejpam-3237	150	4	2018	DATE
ejpam-3237	150	5	793	CARDINAL
ejpam-3237	150	6	5	CARDINAL
ejpam-3237	152	1	2	CARDINAL
ejpam-3237	155	1	zn−2	PRODUCT
ejpam-3237	155	2	1	CARDINAL
ejpam-3237	155	3	1	CARDINAL
ejpam-3237	159	1	first	ORDINAL
ejpam-3237	160	1	1	CARDINAL
ejpam-3237	161	1	zn−2	PRODUCT
ejpam-3237	163	1	zn−2	PRODUCT
ejpam-3237	163	2	1	CARDINAL
ejpam-3237	163	3	z1,...,zn−2,y	ORG
ejpam-3237	165	1	zn−2	PRODUCT
ejpam-3237	166	1	y ∈	PERSON
ejpam-3237	167	1	zn−2}]⊥	GPE
ejpam-3237	169	1	zn−2	PRODUCT
ejpam-3237	169	2	y ⊥ pz	PERSON
ejpam-3237	170	1	‖p‖ ≤ 1	FAC
ejpam-3237	171	1	1	CARDINAL
ejpam-3237	171	2	m. iranmanesh	PERSON
ejpam-3237	171	3	m. saeedi khojasteh	PERSON
ejpam-3237	171	4	m. k. anwary / eur	PERSON
ejpam-3237	172	1	j. pure	PERSON
ejpam-3237	172	2	11	CARDINAL
ejpam-3237	172	3	3	CARDINAL
ejpam-3237	172	4	2018	DATE
ejpam-3237	172	5	793	CARDINAL
ejpam-3237	173	1	1	CARDINAL
ejpam-3237	174	1	zn−2	PRODUCT
ejpam-3237	175	1	6=	CARDINAL
ejpam-3237	176	1	zn−2	PRODUCT
ejpam-3237	178	1	zn−2	PRODUCT
ejpam-3237	180	1	− z‖2 + ‖z‖2 > ‖z‖2 therefore	PERSON
ejpam-3237	180	2	1	CARDINAL
ejpam-3237	183	1	two	CARDINAL
ejpam-3237	184	1	1	CARDINAL
ejpam-3237	185	1	1	CARDINAL
ejpam-3237	186	1	1	CARDINAL
ejpam-3237	187	1	1	CARDINAL
ejpam-3237	189	1	1	CARDINAL
ejpam-3237	189	2	1	CARDINAL
ejpam-3237	190	1	m. saeedi khojasteh	PERSON
ejpam-3237	190	2	m. k. anwary / eur	PERSON
ejpam-3237	191	1	j. pure	PERSON
ejpam-3237	191	2	11	CARDINAL
ejpam-3237	191	3	3	CARDINAL
ejpam-3237	191	4	2018	DATE
ejpam-3237	191	5	793-802 800	QUANTITY
ejpam-3237	192	1	∈	ORG
ejpam-3237	192	2	1	CARDINAL
ejpam-3237	192	3	∈	ORG
ejpam-3237	192	4	1	CARDINAL
ejpam-3237	193	1	1	CARDINAL
ejpam-3237	193	2	2	CARDINAL
ejpam-3237	196	1	1	CARDINAL
ejpam-3237	199	1	f(β	PERSON
ejpam-3237	199	2	f(β	PERSON
ejpam-3237	203	1	3	CARDINAL
ejpam-3237	205	1	1	CARDINAL
ejpam-3237	208	1	n(β0	PERSON
ejpam-3237	209	1	f(β	PERSON
ejpam-3237	209	2	n(β0	PERSON
ejpam-3237	209	3	n(β0	PERSON
ejpam-3237	212	1	n(β0	PERSON
ejpam-3237	213	1	1	CARDINAL
ejpam-3237	215	1	m. iranmanesh	PERSON
ejpam-3237	215	2	m. saeedi khojasteh	PERSON
ejpam-3237	215	3	m. k. anwary / eur	PERSON
ejpam-3237	216	1	j. pure	PERSON
ejpam-3237	216	2	11	CARDINAL
ejpam-3237	216	3	3	CARDINAL
ejpam-3237	216	4	2018	DATE
ejpam-3237	216	5	793-802 801	QUANTITY
ejpam-3237	216	6	1	CARDINAL
ejpam-3237	216	7	p(x	PERSON
ejpam-3237	216	8	1	CARDINAL
ejpam-3237	217	1	〉	CARDINAL
ejpam-3237	219	1	2	CARDINAL
ejpam-3237	219	2	〉	CARDINAL
ejpam-3237	221	1	α〈x	DATE
ejpam-3237	221	2	〉	CARDINAL
ejpam-3237	221	3	〉	CARDINAL
ejpam-3237	222	1	α〈x	DATE
ejpam-3237	225	1	3	CARDINAL
ejpam-3237	225	2	1 ≤	QUANTITY
ejpam-3237	225	3	two	CARDINAL
ejpam-3237	225	4	8	CARDINAL
ejpam-3237	225	5	|x1y2 − x2y1|	ORG
ejpam-3237	226	1	r−1	GPE
ejpam-3237	227	1	r−1	GPE
ejpam-3237	227	2	|x1y2 − x2y1|	PERSON
ejpam-3237	230	1	1	CARDINAL
ejpam-3237	230	2	r−1	GPE
ejpam-3237	230	3	+ |y2| r−1	PERSON
ejpam-3237	232	1	2	CARDINAL
ejpam-3237	233	1	1 2	CARDINAL
ejpam-3237	233	2	2	CARDINAL
ejpam-3237	234	1	802	CARDINAL
ejpam-3237	237	1	4	CARDINAL
ejpam-3237	238	1	2 +	MONEY
ejpam-3237	243	1	2y2 2	CARDINAL
ejpam-3237	245	1	1	CARDINAL
ejpam-3237	245	2	balashov	PERSON
ejpam-3237	245	3	70	CARDINAL
ejpam-3237	245	4	2001	DATE
ejpam-3237	245	5	147–153	CARDINAL
ejpam-3237	246	1	2	CARDINAL
ejpam-3237	246	2	g. birkhoff	PERSON
ejpam-3237	246	3	normed linear spaces	ORG
ejpam-3237	247	1	j.	PERSON
ejpam-3237	247	2	169–172	CARDINAL
ejpam-3237	248	1	3	CARDINAL
ejpam-3237	248	2	bonsall f.f.	GPE
ejpam-3237	248	3	duncan j.	PERSON
ejpam-3237	248	4	london	GPE
ejpam-3237	248	5	cambridge university press	ORG
ejpam-3237	248	6	new york	GPE
ejpam-3237	248	7	1973	DATE
ejpam-3237	249	1	4	CARDINAL
ejpam-3237	249	2	christos chorianopoulos	PERSON
ejpam-3237	249	3	j. psarrakos	PERSON
ejpam-3237	249	4	linear multilinear	ORG
ejpam-3237	249	5	61	CARDINAL
ejpam-3237	249	6	2013	DATE
ejpam-3237	250	1	5	CARDINAL
ejpam-3237	250	2	gustafson k.e.	PERSON
ejpam-3237	250	3	rao d.k.m	ORG
ejpam-3237	251	1	new york	GPE
ejpam-3237	251	2	1997	DATE
ejpam-3237	252	1	6	CARDINAL
ejpam-3237	252	2	d. h. ji	PERSON
ejpam-3237	252	3	s. l. wu	PERSON
ejpam-3237	252	4	j. math	PERSON
ejpam-3237	253	1	ana	PERSON
ejpam-3237	254	1	323	CARDINAL
ejpam-3237	254	2	2006	DATE
ejpam-3237	254	3	17	CARDINAL
ejpam-3237	255	1	7	CARDINAL
ejpam-3237	255	2	m. milicic	PERSON
ejpam-3237	255	3	dans un espace norme	ORG
ejpam-3237	255	4	45	CARDINAL
ejpam-3237	255	5	1993	DATE
ejpam-3237	255	6	4348	DATE
ejpam-3237	256	1	8	CARDINAL
ejpam-3237	256	2	chen zhi-zhi	PERSON
ejpam-3237	256	3	lin wei	PERSON
ejpam-3237	256	4	luo lu-lin	PERSON
ejpam-3237	256	5	normed spaces	ORG
ejpam-3237	256	6	27(4	CARDINAL
ejpam-3237	256	7	2011	DATE
ejpam-3237	256	8	378–384	CARDINAL