Nonarchimedean functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 156 S. |
| ISBN: | 9783642076404 3540425330 |
Internformat
MARC
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| 650 | 4 | |a Number theory | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-024441280 | ||
Datensatz im Suchindex
| _version_ | 1804148425217802240 |
|---|---|
| adam_text | Contents
Chapter I. Foundations
1
§ 1
Nonarchimedean Fields
.................................. 2
§ 2
Seminorms
............................................. 6
§ 3
Normed Vector Spaces
................................... 8
§ 4
Locally Convex Vector Spaces
............................ 13
§ 5
Constructions and Examples
............................. 19
§ 6
Spaces of Continuous Linear Maps
........................ 27
§ 7
Completeness
.......................................... 35
§ 8
Frechet Spaces
.......................................... 45
§ 9
The Dual Space
........................................ 50
Chapter II. The Structure of Banach Spaces
59
§ 10
Structure Theorems
..................................... 59
§ 11
Non-reflexivity
......................................... 64
Chapter III. Duality Theory
67
§ 12
c-Compact and Compactoid
Submodules
................... 68
§13
Polarity
............................................... 76
§ 14
Admissible Topologies
................................... 83
§ 15
Reflexivity
............................................. 86
§ 16
Compact Limits
........................................ 89
Chapter IV. Nuclear Maps and Spaces
101
§ 17
Topologica!
Tensor Products
.............................102
§ 18
Completely Continuous Maps
............................113
§19
Nuclear Spaces
.........................................119
§20
Nuclear Maps
..........................................125
§21
Traces
.................................................136
§ 22
Fredholm
Theory
.......................................140
References
151
Notations
153
Index
155
|
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| id | DE-604.BV039590163 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:06:56Z |
| institution | BVB |
| isbn | 9783642076404 3540425330 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024441280 |
| oclc_num | 756339937 |
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| physical | 156 S. |
| publishDate | 2010 |
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| publisher | Springer |
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| series2 | Springer monographs in mathematics |
| spelling | Schneider, Peter 1953- Verfasser (DE-588)1013768965 aut Nonarchimedean functional analysis Peter Schneider Berlin [u.a.] Springer 2010 156 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Locally convex spaces Number theory Representations of groups Nichtarchimedische Funktionalanalysis (DE-588)4666109-8 gnd rswk-swf Nichtarchimedische Funktionalanalysis (DE-588)4666109-8 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024441280&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schneider, Peter 1953- Nonarchimedean functional analysis Locally convex spaces Number theory Representations of groups Nichtarchimedische Funktionalanalysis (DE-588)4666109-8 gnd |
| subject_GND | (DE-588)4666109-8 |
| title | Nonarchimedean functional analysis |
| title_auth | Nonarchimedean functional analysis |
| title_exact_search | Nonarchimedean functional analysis |
| title_full | Nonarchimedean functional analysis Peter Schneider |
| title_fullStr | Nonarchimedean functional analysis Peter Schneider |
| title_full_unstemmed | Nonarchimedean functional analysis Peter Schneider |
| title_short | Nonarchimedean functional analysis |
| title_sort | nonarchimedean functional analysis |
| topic | Locally convex spaces Number theory Representations of groups Nichtarchimedische Funktionalanalysis (DE-588)4666109-8 gnd |
| topic_facet | Locally convex spaces Number theory Representations of groups Nichtarchimedische Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024441280&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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