Verfügbarkeit: Real operator algebras | Technische Universität München

Real operator algebras:

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Li, Bing-Ren (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	River Edge, NJ [u.a.] World Scientific 2003
Schlagwörter:	Algèbres d'opérateurs Algèbres normées Banach, Algèbres de Banach algebras Operator algebras Operatoralgebra
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013159203&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XIII, 241 S.
ISBN:	9812383808

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV019834180
003	DE-604
005	20050718
007	t\|
008	050606s2003 xx \|\|\|\| 00\|\|\| eng d
020			\|a 9812383808 \|9 981-238-380-8
035			\|a (OCoLC)52851755
035			\|a (DE-599)BVBBV019834180
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-824 \|a DE-83 \|a DE-11
050		0	\|a QA326
082	0		\|a 512/.55 \|2 22
084			\|a SK 600 \|0 (DE-625)143248: \|2 rvk
084			\|a 46Lxx \|2 msc
100	1		\|a Li, Bing-Ren \|e Verfasser \|4 aut
245	1	0	\|a Real operator algebras \|c Bingren Li
264		1	\|a River Edge, NJ [u.a.] \|b World Scientific \|c 2003
300			\|a XIII, 241 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
650		4	\|a Algèbres d'opérateurs
650		4	\|a Algèbres normées
650		4	\|a Banach, Algèbres de
650		4	\|a Banach algebras
650		4	\|a Operator algebras
650	0	7	\|a Operatoralgebra \|0 (DE-588)4129366-6 \|2 gnd \|9 rswk-swf
689	0	0	\|a Operatoralgebra \|0 (DE-588)4129366-6 \|D s
689	0		\|5 DE-604
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013159203&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-013159203

Datensatz im Suchindex

_version_	1819270019025993728
adam_text	Contents Preface v 1. Real Banach and Hubert Spaces 1 1.1 Complexification of real Banach and Hilbert spaces..... 1 1.2 Spectral decomposition theorem in real Hilbert spaces ... 9 2. Real Banach Algebras 15 2.1 Definition and complexification................ 15 2.2 Divisible real Banach algebras................. 20 2.3 The topological group of invertible elements and its principal component ........................... 21 2.4 Radical............................. 22 2.5 Functional calculus....................... 25 2.6 Arens products......................... 26 2.7 Abelian real Banach algebras................. 28 3. Real Banach * Algebras 37 3.1 Some basic lemmas....................... 37 3.2 Abelian real Banach * algebras................ 40 3.3 Positive linear functionals and GNS construction...... 42 3.4 * Representations and topologically irreducible * represen- tations .............................. 45 3.5 * Radical............................ 48 3.6 Symmetric real Banach * algebras .............. 51 4. Fundamentals of Real Von Neumann Algebras 59 xi xii Real Operator Algebras 4.1 Banach spaces of operators on a real Hilbert space..... 59 4.2 Locally convex topologies in B(H).............. 61 4.3 Von Neumann s double commutation theorem ....... 63 4.4 Kaplansky s density theorem, tensor product commutation theorem, and comparison of projections........... 68 4.5 Positive linear functionals................... 72 4.6 cr-Finite real VN algebras................... 76 5. Fundamentals of Real C-Algebras 77 5.1 Definition and basic properties................ 77 5.2 Positive functionals and equivalent definition of real C- algebras............................. 83 5.3 Pure real states, their left kernels, and irreducible * repre- sentations ............................ 88 5.4 Ideals, quotient algebras and extreme points......... 98 5.5 The bidual of a real C-algebra................ 99 5.6 The uniqueness of operation................. 104 5.7 Finite-dimensional real C-algebras............. 108 5.8 The enveloping real C-algebra of a hermitian real Banach * algebra ............................ 110 5.9 * Representations of abelian real C-algebras........ 120 6. Real W-Algebras 123 6.1 Definition and basic properties................ 123 6.2 Normal linear functionals and singular linear functionals . . 130 6.3 Abelian real W-algebras................... 132 6.4 Unitaries and partial isometries................ 141 7. Gelfand-Naimark Conjecture in the Real Case 147 7.1 Real C-equivalent algebras.................. 147 7.2 The closed unit ball of a unital real C-algebra....... 152 7.3 Gelfand-Naimark conjecture in the real case......... 161 8. Classification of Real W-Algebras 167 8.1 Classification of real W-algebras.............. 167 8.2 Finite real W-algebras.................... 172 8.3 Properly infinite real W-algebras.............. 175 8.4 Semi-finite real W-algebras................. 176 Contents xiii 8.5 Purely infinite (type III) real W-algebras.......... 183 8.6 Properties on other classes of real W-algebras....... 184 8.7 Real factors and tensor products............... 188 9. Real Reduction Theory 191 9.1 Real measurable fields of Hubert spaces........... 191 9.2 Real measurable fields of operators.............. 197 9.3 Real measurable fields of VN algebras............ 200 9.4 Real reduction theory..................... 205 10. (AF) Real C-Algebras 211 10.1 Standard matrix unit ..................... 211 10.2 Technical lemmas........................ 218 10.3 Definition and basic properties................ 228 Bibliography 233 Notation Index 237 Index 239
any_adam_object	1
author	Li, Bing-Ren
author_facet	Li, Bing-Ren
author_role	aut
author_sort	Li, Bing-Ren
author_variant	b r l brl
building	Verbundindex
bvnumber	BV019834180
callnumber-first	Q - Science
callnumber-label	QA326
callnumber-raw	QA326
callnumber-search	QA326
callnumber-sort	QA 3326
callnumber-subject	QA - Mathematics
classification_rvk	SK 600
ctrlnum	(OCoLC)52851755 (DE-599)BVBBV019834180
dewey-full	512/.55
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512/.55
dewey-search	512/.55
dewey-sort	3512 255
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01390nam a2200409 c 4500</leader><controlfield tag="001">BV019834180</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20050718 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">050606s2003 xx \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812383808</subfield><subfield code="9">981-238-380-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)52851755</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019834180</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA326</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46Lxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Li, Bing-Ren</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Real operator algebras</subfield><subfield code="c">Bingren Li</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">River Edge, NJ [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 241 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algèbres d'opérateurs</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algèbres normées</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach, Algèbres de</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator algebras</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operatoralgebra</subfield><subfield code="0">(DE-588)4129366-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Operatoralgebra</subfield><subfield code="0">(DE-588)4129366-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013159203&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013159203</subfield></datafield></record></collection>
id	DE-604.BV019834180
illustrated	Not Illustrated
indexdate	2024-12-20T12:06:52Z
institution	BVB
isbn	9812383808
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-013159203
oclc_num	52851755
open_access_boolean
owner	DE-824 DE-83 DE-11
owner_facet	DE-824 DE-83 DE-11
physical	XIII, 241 S.
publishDate	2003
publishDateSearch	2003
publishDateSort	2003
publisher	World Scientific
record_format	marc
spellingShingle	Li, Bing-Ren Real operator algebras Algèbres d'opérateurs Algèbres normées Banach, Algèbres de Banach algebras Operator algebras Operatoralgebra (DE-588)4129366-6 gnd
subject_GND	(DE-588)4129366-6
title	Real operator algebras
title_auth	Real operator algebras
title_exact_search	Real operator algebras
title_full	Real operator algebras Bingren Li
title_fullStr	Real operator algebras Bingren Li
title_full_unstemmed	Real operator algebras Bingren Li
title_short	Real operator algebras
title_sort	real operator algebras
topic	Algèbres d'opérateurs Algèbres normées Banach, Algèbres de Banach algebras Operator algebras Operatoralgebra (DE-588)4129366-6 gnd
topic_facet	Algèbres d'opérateurs Algèbres normées Banach, Algèbres de Banach algebras Operator algebras Operatoralgebra
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013159203&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT libingren realoperatoralgebras

Verfügbarkeit

‌

Inhaltsverzeichnis