Index theory in VonNeumann algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1984
|
| Edition: | 1. print. |
| Series: | Memoirs of the American Mathematical Society
294 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 71 S. |
| ISBN: | 0821822950 |
Staff View
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV022145456 | ||
| 003 | DE-604 | ||
| 005 | 20040229000000.0 | ||
| 007 | t| | ||
| 008 | 851017s1984 xx |||| 00||| eng d | ||
| 020 | |a 0821822950 |9 0-8218-2295-0 | ||
| 035 | |a (OCoLC)10162606 | ||
| 035 | |a (DE-599)BVBBV022145456 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 512/.55 |2 19 | |
| 082 | 0 | |a 510 |2 19 | |
| 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. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 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 | |
| 650 | 0 | 7 | |a Von-Neumann-Algebra |0 (DE-588)4388395-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Indextheorie |0 (DE-588)4161489-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Indextheorie |0 (DE-588)4161489-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Von-Neumann-Algebra |0 (DE-588)4388395-3 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 294 |w (DE-604)BV008000141 | |
| 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=015360088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-015360088 | |
Record in the Search Index
| _version_ | 1827654238385209344 |
|---|---|
| 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 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Olsen, Catherine L. |
| author_facet | Olsen, Catherine L. |
| author_role | aut |
| author_sort | Olsen, Catherine L. |
| author_variant | c l o cl clo |
| building | Verbundindex |
| bvnumber | BV022145456 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)10162606 (DE-599)BVBBV022145456 |
| dewey-full | 512/.55 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.55 510 |
| dewey-search | 512/.55 510 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. print. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zcb4500</leader><controlfield tag="001">BV022145456</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20040229000000.0</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">851017s1984 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821822950</subfield><subfield code="9">0-8218-2295-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)10162606</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022145456</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Olsen, Catherine L.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Index theory in VonNeumann algebras</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1984</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IV, 71 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="490" ind1="1" ind2=" "><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">294</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analytic functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fredholm operators</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Index theory (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Von Neumann algebras</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Von-Neumann-Algebra</subfield><subfield code="0">(DE-588)4388395-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Indextheorie</subfield><subfield code="0">(DE-588)4161489-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Indextheorie</subfield><subfield code="0">(DE-588)4161489-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Von-Neumann-Algebra</subfield><subfield code="0">(DE-588)4388395-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">294</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9"></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=015360088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015360088</subfield></datafield></record></collection> |
| id | DE-604.BV022145456 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:17:51Z |
| indexdate | 2025-03-26T11:01:46Z |
| institution | BVB |
| isbn | 0821822950 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015360088 |
| oclc_num | 10162606 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| 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 Von-Neumann-Algebra (DE-588)4388395-3 gnd rswk-swf Indextheorie (DE-588)4161489-6 gnd rswk-swf Indextheorie (DE-588)4161489-6 s DE-604 Von-Neumann-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 Von-Neumann-Algebra (DE-588)4388395-3 gnd Indextheorie (DE-588)4161489-6 gnd |
| subject_GND | (DE-588)4388395-3 (DE-588)4161489-6 |
| 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 Von-Neumann-Algebra (DE-588)4388395-3 gnd Indextheorie (DE-588)4161489-6 gnd |
| topic_facet | Analytic functions Fredholm operators Index theory (Mathematics) Von Neumann algebras Von-Neumann-Algebra Indextheorie |
| 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 |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT olsencatherinel indextheoryinvonneumannalgebras |