id	sid	eid	entity	type
ap-1408	1	1	acta polytechnica vol	PERSON
ap-1408	2	1	51	CARDINAL
ap-1408	3	1	4/2011	CARDINAL
ap-1408	3	2	algebras	ORG
ap-1408	3	3	j. paseka	PERSON
ap-1408	3	4	j. janda	PERSON
ap-1408	3	5	algebras	ORG
ap-1408	7	1	hilbert space	ORG
ap-1408	8	1	1	CARDINAL
ap-1408	12	1	d(a	GPE
ap-1408	13	1	bf)(x	ORG
ap-1408	15	1	d(a	PERSON
ap-1408	19	1	1	CARDINAL
ap-1408	19	2	1998	DATE
ap-1408	22	1	a. mostafazadeh	PERSON
ap-1408	23	1	6	CARDINAL
ap-1408	24	1	4	CARDINAL
ap-1408	24	2	bennett	PERSON
ap-1408	26	1	1	CARDINAL
ap-1408	27	1	m. polakovič	PERSON
ap-1408	27	2	z. riečanová	PERSON
ap-1408	28	1	8	CARDINAL
ap-1408	30	1	8	CARDINAL
ap-1408	33	1	section 1	LAW
ap-1408	33	2	algebras	ORG
ap-1408	34	1	section 2	LAW
ap-1408	35	1	section 3	LAW
ap-1408	37	1	65	CARDINAL
ap-1408	37	2	acta polytechnica vol.	PERSON
ap-1408	38	1	51	CARDINAL
ap-1408	39	1	4/2011 2	CARDINAL
ap-1408	39	2	a. dvurečenskij	PERSON
ap-1408	39	3	s. pulmannová	PERSON
ap-1408	40	1	3	CARDINAL
ap-1408	42	1	1	CARDINAL
ap-1408	42	2	4	CARDINAL
ap-1408	42	3	0	CARDINAL
ap-1408	42	4	1	CARDINAL
ap-1408	42	5	0	CARDINAL
ap-1408	42	6	1	CARDINAL
ap-1408	42	7	two	CARDINAL
ap-1408	45	1	eii	PERSON
ap-1408	50	1	1	CARDINAL
ap-1408	50	2	x′	DATE
ap-1408	50	3	1 + x	QUANTITY
ap-1408	50	4	0	CARDINAL
ap-1408	51	1	2	CARDINAL
ap-1408	51	2	5	CARDINAL
ap-1408	51	3	0	CARDINAL
ap-1408	59	1	0	CARDINAL
ap-1408	62	1	0	CARDINAL
ap-1408	63	1	3	CARDINAL
ap-1408	63	2	0	CARDINAL
ap-1408	70	1	+ 0	DATE
ap-1408	76	1	y = z.	PERSON
ap-1408	79	1	0	CARDINAL
ap-1408	87	1	〉	CARDINAL
ap-1408	89	1	〉	CARDINAL
ap-1408	89	2	α〈x	DATE
ap-1408	89	3	〉	CARDINAL
ap-1408	89	4	∈	ORG
ap-1408	89	5	∈	ORG
ap-1408	90	1	〉	CARDINAL
ap-1408	90	2	〉	CARDINAL
ap-1408	90	3	〉	CARDINAL
ap-1408	90	4	〉	CARDINAL
ap-1408	91	1	hilbertian	NORP
ap-1408	91	2	2	CARDINAL
ap-1408	92	1	linear	ORG
ap-1408	94	1	〉	CARDINAL
ap-1408	95	1	〉	CARDINAL
ap-1408	95	2	〉	CARDINAL
ap-1408	95	3	2	CARDINAL
ap-1408	96	1	d(a	GPE
ap-1408	98	1	d(a∗	PERSON
ap-1408	99	1	y ∈	PERSON
ap-1408	99	2	y∗ ∈	ORG
ap-1408	101	1	∈	ORG
ap-1408	103	1	∈	ORG
ap-1408	103	2	∈ d(a	PERSON
ap-1408	105	1	⊂	GPE
ap-1408	107	1	2	CARDINAL
ap-1408	109	1	⊂	GPE
ap-1408	109	2	⊆	CARDINAL
ap-1408	110	1	66	CARDINAL
ap-1408	110	2	acta polytechnica vol.	PERSON
ap-1408	111	1	51	CARDINAL
ap-1408	112	1	4/2011	CARDINAL
ap-1408	112	2	4	CARDINAL
ap-1408	113	1	linear operators	ORG
ap-1408	114	1	d(a	GPE
ap-1408	114	2	d(a	GPE
ap-1408	116	1	1	CARDINAL
ap-1408	117	1	∈	ORG
ap-1408	117	2	a+b	PERSON
ap-1408	118	1	one	CARDINAL
ap-1408	118	2	∈	ORG
ap-1408	118	3	∈	ORG
ap-1408	119	1	gr(h);⊕d	NORP
ap-1408	120	1	∈	ORG
ap-1408	121	1	⊕d a. moreover	PERSON
ap-1408	122	1	∈	ORG
ap-1408	122	2	∈	ORG
ap-1408	123	1	0/d(a	ORG
ap-1408	123	2	0b/d(a	MONEY
ap-1408	127	1	first	ORDINAL
ap-1408	129	1	d(a)∩d(b	ORG
ap-1408	129	2	∩ d(c	PERSON
ap-1408	129	3	d(c	PERSON
ap-1408	138	1	= d(a	PERSON
ap-1408	139	1	d(c	PERSON
ap-1408	140	1	d(c	PERSON
ap-1408	146	1	d(a	GPE
ap-1408	148	1	d(c	PERSON
ap-1408	149	1	d(c	PERSON
ap-1408	149	2	d(c	PERSON
ap-1408	151	1	d(c	PERSON
ap-1408	158	1	= d(a	PERSON
ap-1408	158	2	d(c	PERSON
ap-1408	160	1	= d(a	PERSON
ap-1408	160	2	d(c	PERSON
ap-1408	162	1	d(c	PERSON
ap-1408	166	1	d(c	PERSON
ap-1408	167	1	d(c	PERSON
ap-1408	168	1	a⊕d	PERSON
ap-1408	171	1	d(a	GPE
ap-1408	181	1	d(a	GPE
ap-1408	183	1	d(c	PERSON
ap-1408	183	2	d(c	PERSON
ap-1408	188	1	a⊕d	PERSON
ap-1408	189	1	d(a	PERSON
ap-1408	190	1	d(c	PERSON
ap-1408	191	1	d(c	PERSON
ap-1408	192	1	d(c	PERSON
ap-1408	193	1	d(c	PERSON
ap-1408	196	1	67	CARDINAL
ap-1408	196	2	acta polytechnica vol.	PERSON
ap-1408	197	1	51	CARDINAL
ap-1408	198	1	4/2011	CARDINAL
ap-1408	198	2	1	CARDINAL
ap-1408	198	3	c2 d(c1 ⊕d c2	PERSON
ap-1408	205	1	d(c	PERSON
ap-1408	211	1	d(c	PERSON
ap-1408	214	1	d(c	PERSON
ap-1408	219	1	= d(a	PERSON
ap-1408	219	2	⊆	CARDINAL
ap-1408	219	3	⊆	CARDINAL
ap-1408	219	4	d(c	PERSON
ap-1408	220	1	b/d(a	ORG
ap-1408	223	1	∈	ORG
ap-1408	225	1	0	DATE
ap-1408	225	2	c2 on h.	ORG
ap-1408	226	1	first	ORDINAL
ap-1408	227	1	1	CARDINAL
ap-1408	230	1	c1+c2	ORG
ap-1408	230	2	c1+c2)b	PERSON
ap-1408	230	3	d(c1 ⊕d c2	PERSON
ap-1408	236	1	c1 + c2	PERSON
ap-1408	236	2	d(c1 ⊕d c2	PERSON
ap-1408	237	1	c1 + c2	PERSON
ap-1408	242	1	a⊕d	PERSON
ap-1408	242	2	= a. hence	PERSON
ap-1408	242	3	0	CARDINAL
ap-1408	243	1	7	CARDINAL
ap-1408	243	2	2	CARDINAL
ap-1408	244	1	0	CARDINAL
ap-1408	245	1	∈	ORG
ap-1408	256	1	d(e	NORP
ap-1408	260	1	d(c	PERSON
ap-1408	260	2	d(e	NORP
ap-1408	262	1	d(c	PERSON
ap-1408	263	1	d(e	NORP
ap-1408	265	1	d(e	NORP
ap-1408	265	2	d(e	NORP
ap-1408	267	1	d(c	PERSON
ap-1408	267	2	d(e	NORP
ap-1408	269	1	d(c	PERSON
ap-1408	270	1	d(e	NORP
ap-1408	271	1	d(e	NORP
ap-1408	272	1	d(e	NORP
ap-1408	274	1	d(c	PERSON
ap-1408	276	1	d(c	PERSON
ap-1408	276	2	d(c	PERSON
ap-1408	276	3	d(e	NORP
ap-1408	278	1	9	CARDINAL
ap-1408	279	1	68	CARDINAL
ap-1408	279	2	acta polytechnica vol.	PERSON
ap-1408	280	1	51	CARDINAL
ap-1408	281	1	4/2011	CARDINAL
ap-1408	281	2	2	CARDINAL
ap-1408	281	3	9	CARDINAL
ap-1408	283	1	d(a	GPE
ap-1408	283	2	d(a	GPE
ap-1408	285	1	1	CARDINAL
ap-1408	285	2	at least one	CARDINAL
ap-1408	285	3	2	CARDINAL
ap-1408	287	1	⊕.	NORP
ap-1408	287	2	pos(gr(h	GPE
ap-1408	290	1	5	CARDINAL
ap-1408	290	2	0	CARDINAL
ap-1408	291	1	∈	ORG
ap-1408	291	2	∈	ORG
ap-1408	293	1	⊆	CARDINAL
ap-1408	293	2	y ∈ s	PERSON
ap-1408	294	1	0	DATE
ap-1408	296	1	1	CARDINAL
ap-1408	296	2	0	CARDINAL
ap-1408	309	1	+ z. lemma 2	PERSON
ap-1408	312	1	sii	ORG
ap-1408	312	2	∈	ORG
ap-1408	312	3	∈	ORG
ap-1408	312	4	∈	ORG
ap-1408	313	1	∈ s.	PERSON
ap-1408	314	1	∈	ORG
ap-1408	317	1	6	CARDINAL
ap-1408	317	2	g1	ORG
ap-1408	317	3	01	DATE
ap-1408	318	1	y ∈ g1	PERSON
ap-1408	318	2	ϕ(x	LOC
ap-1408	318	3	ϕ(x +1 y	PERSON
ap-1408	319	1	g1	ORG
ap-1408	320	1	g1	ORG
ap-1408	320	2	g1	ORG
ap-1408	322	1	y ∈	PERSON
ap-1408	323	1	g1	ORG
ap-1408	324	1	7	CARDINAL
ap-1408	326	1	∈	ORG
ap-1408	327	1	⊂	GPE
ap-1408	327	2	∈	ORG
ap-1408	327	3	⊂	GPE
ap-1408	327	4	d(a	GPE
ap-1408	331	1	2	CARDINAL
ap-1408	332	1	3	CARDINAL
ap-1408	333	1	≤s	ORG
ap-1408	338	1	two	CARDINAL
ap-1408	339	1	⊂	GPE
ap-1408	340	1	〉	CARDINAL
ap-1408	340	2	〉	CARDINAL
ap-1408	341	1	y ∈ d(b	PERSON
ap-1408	341	2	〉	CARDINAL
ap-1408	341	3	〉	CARDINAL
ap-1408	341	4	69	CARDINAL
ap-1408	341	5	acta polytechnica vol	PERSON
ap-1408	342	1	51	CARDINAL
ap-1408	343	1	〉	CARDINAL
ap-1408	343	2	〉	CARDINAL
ap-1408	343	3	⊂	GPE
ap-1408	343	4	= d(a	PERSON
ap-1408	345	1	〉	CARDINAL
ap-1408	345	2	〉	CARDINAL
ap-1408	345	3	〉	CARDINAL
ap-1408	345	4	〉	CARDINAL
ap-1408	346	1	⊂	GPE
ap-1408	346	2	⊂	GPE
ap-1408	346	3	d((a +	DATE
ap-1408	349	1	∈	ORG
ap-1408	352	1	4	CARDINAL
ap-1408	353	1	4	CARDINAL
ap-1408	353	2	d.	NORP
ap-1408	356	1	0	CARDINAL
ap-1408	356	2	∈	ORG
ap-1408	358	1	8	CARDINAL
ap-1408	358	2	d.	NORP
ap-1408	359	1	∈	ORG
ap-1408	359	2	d(a	GPE
ap-1408	362	1	d(a	GPE
ap-1408	365	1	5	CARDINAL
ap-1408	371	1	first	ORDINAL
ap-1408	372	1	d(a	GPE
ap-1408	376	1	d(a	GPE
ap-1408	377	1	d(a	PERSON
ap-1408	387	1	a⊕d	DATE
ap-1408	389	1	ab	ORG
ap-1408	390	1	∈	ORG
ap-1408	395	1	lind	PERSON
ap-1408	395	2	ψ(b	PERSON
ap-1408	396	1	ψ(b	PERSON
ap-1408	403	1	ϕ(a +	GPE
ap-1408	407	1	ϕ(a +	GPE
ap-1408	412	1	ϕ(a +	GPE
ap-1408	415	1	6	CARDINAL
ap-1408	415	2	∈	ORG
ap-1408	415	3	grd(h	ORG
ap-1408	415	4	grd(h	ORG
ap-1408	417	1	grd(h	ORG
ap-1408	417	2	2	CARDINAL
ap-1408	418	1	70	CARDINAL
ap-1408	418	2	acta polytechnica vol.	PERSON
ap-1408	419	1	51	CARDINAL
ap-1408	420	1	4/2011	CARDINAL
ap-1408	422	1	∈	ORG
ap-1408	424	1	∈	ORG
ap-1408	425	1	≤grd(h))/sgrd(h)2	NORP
ap-1408	426	1	7	CARDINAL
ap-1408	429	1	⊆	CARDINAL
ap-1408	429	2	grd1(h	PERSON
ap-1408	429	3	∩	PERSON
ap-1408	430	1	⋃	DATE
ap-1408	433	1	∈	ORG
ap-1408	434	1	∈	ORG
ap-1408	437	1	⋃	DATE
ap-1408	439	1	8	DATE
ap-1408	442	1	⋃	DATE
ap-1408	445	1	∈	ORG
ap-1408	445	2	∩ sgr(h	PERSON
ap-1408	445	3	⋃	DATE
ap-1408	446	1	⋃	DATE
ap-1408	446	2	∩ sgr(h	PERSON
ap-1408	447	1	⋃	PRODUCT
ap-1408	448	1	∩ sgr(h	PERSON
ap-1408	452	1	5	CARDINAL
ap-1408	452	2	7	CARDINAL
ap-1408	456	1	〉	CARDINAL
ap-1408	456	2	∀ψ	ORG
ap-1408	456	3	∈	ORG
ap-1408	458	1	ω	CARDINAL
ap-1408	458	2	the hilbert spaces hω	ORG
ap-1408	459	1	∈	ORG
ap-1408	459	2	∈	ORG
ap-1408	459	3	d.	NORP
ap-1408	459	4	1	CARDINAL
ap-1408	460	1	7	CARDINAL
ap-1408	460	2	3	CARDINAL
ap-1408	461	1	∈	ORG
ap-1408	461	2	1	CARDINAL
ap-1408	462	1	h. 2.	ORG
ap-1408	464	1	3.	CARDINAL
ap-1408	464	2	h. 4	ORG
ap-1408	465	1	i)d ω = i.	ORG
ap-1408	465	2	9	CARDINAL
ap-1408	465	3	ω	CARDINAL
ap-1408	466	1	∈	ORG
ap-1408	468	1	1	CARDINAL
ap-1408	468	2	7	CARDINAL
ap-1408	468	3	1	CARDINAL
ap-1408	468	4	ω	CARDINAL
ap-1408	469	1	algebras	ORG
ap-1408	471	1	ω	CARDINAL
ap-1408	471	2	9	CARDINAL
ap-1408	473	1	invertible	ORG
ap-1408	473	2	linear	ORG
ap-1408	473	3	h∗	ORG
ap-1408	473	4	6	CARDINAL
ap-1408	474	1	10	CARDINAL
ap-1408	475	1	1	CARDINAL
ap-1408	475	2	∈	ORG
ap-1408	476	1	〉	CARDINAL
ap-1408	476	2	ρ+−	CARDINAL
ap-1408	476	3	ρ+−〉	CARDINAL
ap-1408	477	1	71	CARDINAL
ap-1408	477	2	acta polytechnica vol	PERSON
ap-1408	478	1	51	CARDINAL
ap-1408	479	1	4/2011 2	CARDINAL
ap-1408	480	1	algebras	ORG
ap-1408	481	1	〉	MONEY
ap-1408	481	2	0,∞	TIME
ap-1408	484	1	7	CARDINAL
ap-1408	484	2	3	CARDINAL
ap-1408	485	1	6	CARDINAL
ap-1408	486	1	9	CARDINAL
ap-1408	487	1	two	CARDINAL
ap-1408	488	1	the ministry of education	ORG
ap-1408	488	2	the czech republic	GPE
ap-1408	488	3	0964/2009	CARDINAL
ap-1408	488	4	masaryk university	ORG
ap-1408	489	1	second	ORDINAL
ap-1408	489	2	0964/2009	CARDINAL
ap-1408	489	3	masaryk university	ORG
ap-1408	490	1	1	CARDINAL
ap-1408	490	2	c. m.	PERSON
ap-1408	490	3	boettcher	PERSON
ap-1408	490	4	s.	PERSON
ap-1408	491	1	lett	PERSON
ap-1408	492	1	80	DATE
ap-1408	492	2	1998	DATE
ap-1408	492	3	5	CARDINAL
ap-1408	492	4	246	CARDINAL
ap-1408	493	1	2	CARDINAL
ap-1408	493	2	j.	PERSON
ap-1408	493	3	havĺıček	ORG
ap-1408	493	4	m.: hilbert	PERSON
ap-1408	494	1	2nd	ORDINAL
ap-1408	495	1	berlin	GPE
ap-1408	495	2	springer, 2008	DATE
ap-1408	496	1	3	CARDINAL
ap-1408	496	2	pulmannová	ORG
ap-1408	496	3	s.	PERSON
ap-1408	497	1	dordrecht/ister science	ORG
ap-1408	497	2	2000	DATE
ap-1408	498	1	4	CARDINAL
ap-1408	498	2	d. j.	PERSON
ap-1408	498	3	bennett	PERSON
ap-1408	498	4	m. k.:	PERSON
ap-1408	498	5	algebras	ORG
ap-1408	498	6	quantum	ORG
ap-1408	500	1	24	CARDINAL
ap-1408	500	2	1 331–1352	CARDINAL
ap-1408	501	1	5	CARDINAL
ap-1408	501	2	j.	PERSON
ap-1408	501	3	pulmannová	NORP
ap-1408	501	4	s.	PERSON
ap-1408	502	1	univ.	ORG
ap-1408	502	2	45 (1996	DATE
ap-1408	502	3	247–279	CARDINAL
ap-1408	503	1	6	CARDINAL
ap-1408	504	1	j. geom	PERSON
ap-1408	506	1	mod	PERSON
ap-1408	507	1	7 (2010	DATE
ap-1408	507	2	1 191–1306	CARDINAL
ap-1408	508	1	7	CARDINAL
ap-1408	508	2	j.:	PERSON
ap-1408	508	3	algebras	ORG
ap-1408	508	4	internat	PERSON
ap-1408	509	1	j. theoret	PERSON
ap-1408	511	1	50 (2011	DATE
ap-1408	511	2	1 198–1205	CARDINAL
ap-1408	512	1	8	CARDINAL
ap-1408	512	2	m.	PERSON
ap-1408	512	3	riečanová	PERSON
ap-1408	512	4	z.	PERSON
ap-1408	512	5	hilbert spaces	ORG
ap-1408	512	6	internat	ORG
ap-1408	513	1	j. theoret	PERSON
ap-1408	515	1	50 (2011	DATE
ap-1408	515	2	1 167–1 174	CARDINAL
ap-1408	516	1	9	CARDINAL
ap-1408	516	2	z.	PERSON
ap-1408	516	3	zajac	GPE
ap-1408	516	4	pulmannová	NORP
ap-1408	516	5	s.	PERSON
ap-1408	516	6	hilbert spaces	ORG
ap-1408	516	7	2011	DATE
ap-1408	517	1	jan	CARDINAL
ap-1408	519	1	janda e-mail	PERSON
ap-1408	519	2	98599@mail.muni.cz	CARDINAL
ap-1408	519	3	science masaryk university	ORG
ap-1408	519	4	kotlářská 2	ORG
ap-1408	519	5	37	CARDINAL
ap-1408	519	6	72	CARDINAL