Cônes autopolaires et algèbres de Jordan:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | French |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1984
|
| Schriftenreihe: | Lecture notes in mathematics
1049 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [221] - 243 |
| Beschreibung: | VI, 247 S. |
| ISBN: | 3540129014 0387129014 |
Internformat
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| 100 | 1 | |a Iochum, Bruno |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Cônes autopolaires et algèbres de Jordan |c Bruno Iochum |
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| 490 | 1 | |a Lecture notes in mathematics |v 1049 | |
| 500 | |a Literaturverz. S. [221] - 243 | ||
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| 650 | 4 | |a Jordan, Algèbres de | |
| 650 | 4 | |a Jordan algebras | |
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Datensatz im Suchindex
| _version_ | 1804114691701604352 |
|---|---|
| adam_text | SOMMAIRE
INTRODUCTION ,
Chapitre I : Cônes autopolaires 12
1.0. : RAPPELS 14
1.1. : PROPRIETES GENERALES 15
1.2. : GROUPE ET ALGEBRE DE LIE D UN CONE AUTOPOLAIRE 29
1.3. : DECOMPOSITION DES CONES AUTOPOLAIRES 35
1.4. : CLASSIFICATION DES CONES AUTOPOLAIRES. 43
Chapitre II : Cônes autopolaires facialement homogènes 49
II.1.: DEFINITION ET PROPRIETES GENERALES 50
II.2. : THEORIE SPECTRALE 61
II.3.: STRUCTURE DE GL(H + ). 69
Chapitre III : L algèbre de jordan d un cône autopolaire 72
FACIALEMENT HOMOGÈNE
III.1: CONSTRUCTION DE P PROJECTIONS 74
III.2: CONSTRUCTION DE LA J . B .W .ALGEBRE D UN CONE 77
III.3: FONCTORIALITE DE LA CONSTRUCTION 80
III.4: DIFFERENCE ENTRE PRODUIT DE L(H) ET PRODUIT DE 1U 83
III.5: ROLE DU PREDUAL DE Vn 87
III.6: CONSEQUENCES SUR !F(H+) 90
III.7: CONSEQUENCES SUR S(H + ) . 92
Chapitre IV : Poids sur un cône autopolaire 95
IV.1.: DEFINITIONS ET PRINCIPALES PROPRIETES 95
IV.2. : TRACES FINIES 113
IV.3.: HOMOGENEITE FACIALE ET T0P6L0GIQUE . 120
Chapitre V : Traces sur les j.b. algèbres 122
V.l. : PROPRIETES GENERALES 124
V.2. : Ll (M,* 137
V.3. : LP (M,*) 139
V.4. : L2 (M,*) 144
V.5. : CONE ASSOCIE A UNE J . B .W.ALGEBRE SEMI FINIE 150
V.6. : UNICITE DU CONE H+ ¦ 158
Chapitre VI : Cônes orientables 165
VI.1.: DEFINITIONS ET RESULTAT PRINCIPAL 166
VI.2.: DEMONSTRATION DU THEOREME ET CONSEQUENCES . 168
VI
Chapitre VII : Cônes associés aux j.b.w. algébres 175
vii.1. : resultat principal 176
vii.2. : construction de ct^ ^ p 179
vii.3. : consequences et applications. 184
Appendices 136
n° 1 : un resultat technique 187
n° 2 : algebres de jordan banach 188
n° 3 : triple produit de jordan 195
n° 4 : decomposition dans le predual d une j.b.w. 196
ALGEBRE
n° 5 : ideal d une j.b.w. algebre 198
n° 6 : j.b.w. algebres denombrables 200
n° 7 : esperance conditionnelle 202
n° 8 : formes autopolaires 204
n° 9 : espaces des etats normaux des j.b.w. algebres 207
et des algebres de von neumann
n° 10 : quasi representation des j.b. algebres. 214
Références 221
Index terminologique 245
Index des notations 246
|
| any_adam_object | 1 |
| author | Iochum, Bruno |
| author_facet | Iochum, Bruno |
| author_role | aut |
| author_sort | Iochum, Bruno |
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| building | Verbundindex |
| bvnumber | BV000228680 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 176f MAT 068f MAT 467f |
| ctrlnum | (OCoLC)10659912 (DE-599)BVBBV000228680 |
| dewey-full | 512.53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.53 |
| dewey-search | 512.53 |
| dewey-sort | 3512.53 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre_facet | Positiver Kegel |
| id | DE-604.BV000228680 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:45Z |
| institution | BVB |
| isbn | 3540129014 0387129014 |
| language | French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000136944 |
| oclc_num | 10659912 |
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| physical | VI, 247 S. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Iochum, Bruno Verfasser aut Cônes autopolaires et algèbres de Jordan Bruno Iochum Berlin [u.a.] Springer 1984 VI, 247 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1049 Literaturverz. S. [221] - 243 Cône Jordan, Algèbres de Jordan algebras Selbstdualer Kegel (DE-588)4180822-8 gnd rswk-swf Jordan-Algebra (DE-588)4162770-2 gnd rswk-swf Positivitätsbereich (DE-588)4175440-2 gnd rswk-swf Kegel (DE-588)4163534-6 gnd rswk-swf Positiver Kegel gnd rswk-swf Jordan-Algebra (DE-588)4162770-2 s Positiver Kegel f DE-604 Selbstdualer Kegel (DE-588)4180822-8 s Positivitätsbereich (DE-588)4175440-2 s Kegel (DE-588)4163534-6 s Lecture notes in mathematics 1049 (DE-604)BV000676446 1049 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000136944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Iochum, Bruno Cônes autopolaires et algèbres de Jordan Lecture notes in mathematics Cône Jordan, Algèbres de Jordan algebras Selbstdualer Kegel (DE-588)4180822-8 gnd Jordan-Algebra (DE-588)4162770-2 gnd Positivitätsbereich (DE-588)4175440-2 gnd Kegel (DE-588)4163534-6 gnd |
| subject_GND | (DE-588)4180822-8 (DE-588)4162770-2 (DE-588)4175440-2 (DE-588)4163534-6 |
| title | Cônes autopolaires et algèbres de Jordan |
| title_auth | Cônes autopolaires et algèbres de Jordan |
| title_exact_search | Cônes autopolaires et algèbres de Jordan |
| title_full | Cônes autopolaires et algèbres de Jordan Bruno Iochum |
| title_fullStr | Cônes autopolaires et algèbres de Jordan Bruno Iochum |
| title_full_unstemmed | Cônes autopolaires et algèbres de Jordan Bruno Iochum |
| title_short | Cônes autopolaires et algèbres de Jordan |
| title_sort | cones autopolaires et algebres de jordan |
| topic | Cône Jordan, Algèbres de Jordan algebras Selbstdualer Kegel (DE-588)4180822-8 gnd Jordan-Algebra (DE-588)4162770-2 gnd Positivitätsbereich (DE-588)4175440-2 gnd Kegel (DE-588)4163534-6 gnd |
| topic_facet | Cône Jordan, Algèbres de Jordan algebras Selbstdualer Kegel Jordan-Algebra Positivitätsbereich Kegel Positiver Kegel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000136944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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