Index theory in VonNeumann algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1984
|
| Ausgabe: | 1. print. |
| Schriftenreihe: | Memoirs of the American Mathematical Society
294 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 71 S. |
| ISBN: | 0821822950 |
Internformat
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| 100 | 1 | |a Olsen, Catherine L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Index theory in VonNeumann algebras |
| 250 | |a 1. print. | ||
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1984 | |
| 300 | |a IV, 71 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 294 | |
| 650 | 4 | |a Analytic functions | |
| 650 | 4 | |a Fredholm operators | |
| 650 | 4 | |a Index theory (Mathematics) | |
| 650 | 4 | |a Von Neumann algebras | |
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
Page
Abstract iv
Section
1. Introduction ..... 1
2. Basic facts and notation 8
3. Definition of the semi Fredholm elements, and of the index
group and the index semigroup 10
4. Alternative characterizations of the Fredholm and seai
Fredholm elements 12
5. Definition of the index map i 16
6. Properties of the index map 1 23
7. A representation of the index group and the index semigroup
for relatively compact ideals ..... 27
8. Examples 32
9. Definition of an index i for noncompact ideals 36
10. Properties of the index i . . . 40
11. The maximal domain of continuity for the index 48
12. The closure of the semi Fredholm components; the distance to
each component 58
References 70
|
| adam_txt |
TABLE OF CONTENTS
Page
Abstract iv
Section
1. Introduction . 1
2. Basic facts and notation 8
3. Definition of the semi Fredholm elements, and of the index
group and the index semigroup 10
4. Alternative characterizations of the Fredholm and seai
Fredholm elements 12
5. Definition of the index map i 16
6. Properties of the index map 1 23
7. A representation of the index group and the index semigroup
for relatively compact ideals . 27
8. Examples 32
9. Definition of an index i for noncompact ideals 36
10. Properties of the index i . . . 40
11. The maximal domain of continuity for the index 48
12. The closure of the semi Fredholm components; the distance to
each component 58
References 70 |
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| dewey-full | 510 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.55 |
| dewey-search | 510 512/.55 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. print. |
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| id | DE-604.BV022145456 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:17:51Z |
| indexdate | 2024-07-09T20:51:19Z |
| institution | BVB |
| isbn | 0821822950 |
| language | English |
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| oclc_num | 10162606 |
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| physical | IV, 71 S. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Olsen, Catherine L. Verfasser aut Index theory in VonNeumann algebras 1. print. Providence, RI American Math. Soc. 1984 IV, 71 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 294 Analytic functions Fredholm operators Index theory (Mathematics) Von Neumann algebras Indextheorie (DE-588)4161489-6 gnd rswk-swf VonNeumann-Algebra (DE-588)4388395-3 gnd rswk-swf Indextheorie (DE-588)4161489-6 s DE-604 VonNeumann-Algebra (DE-588)4388395-3 s 1\p DE-604 Memoirs of the American Mathematical Society 294 (DE-604)BV008000141 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015360088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Olsen, Catherine L. Index theory in VonNeumann algebras Memoirs of the American Mathematical Society Analytic functions Fredholm operators Index theory (Mathematics) Von Neumann algebras Indextheorie (DE-588)4161489-6 gnd VonNeumann-Algebra (DE-588)4388395-3 gnd |
| subject_GND | (DE-588)4161489-6 (DE-588)4388395-3 |
| title | Index theory in VonNeumann algebras |
| title_auth | Index theory in VonNeumann algebras |
| title_exact_search | Index theory in VonNeumann algebras |
| title_exact_search_txtP | Index theory in VonNeumann algebras |
| title_full | Index theory in VonNeumann algebras |
| title_fullStr | Index theory in VonNeumann algebras |
| title_full_unstemmed | Index theory in VonNeumann algebras |
| title_short | Index theory in VonNeumann algebras |
| title_sort | index theory in vonneumann algebras |
| topic | Analytic functions Fredholm operators Index theory (Mathematics) Von Neumann algebras Indextheorie (DE-588)4161489-6 gnd VonNeumann-Algebra (DE-588)4388395-3 gnd |
| topic_facet | Analytic functions Fredholm operators Index theory (Mathematics) Von Neumann algebras Indextheorie VonNeumann-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015360088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT olsencatherinel indextheoryinvonneumannalgebras |