Nonarchimedean functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2002
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | 156 S. |
| ISBN: | 3540425330 9783642076404 9783540425335 |
Internformat
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| 300 | |a 156 S. | ||
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| 650 | 4 | |a Number theory | |
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Datensatz im Suchindex
| _version_ | 1805088108393267200 |
|---|---|
| adam_text |
Contents
Chapter I. Foundations
1
§ 1
Nemar
chimedean Fields
. 2
§ 2
Semiriorms
. 6
§ 3
Normcd Vector Spaces
. 8
§ 4
Locally Convex Vector Spaces
. 13
§ 5
Constructions and Examples
. 19
§ ö
Spaces of Continuous Linear Maps
. 27
§ 7
Completeness
. 35
^
8
Fréehet
Space's
. 45
Ü
Í)
The Dual Space
. 50
Chapter II. The Structure of Banach Spaces
59
^
10
Structure Theorems
. 59
^
11
Non-reñexivity
. 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
Topołogical
Tensor Products
. 102
§ 18
Completely Continuous Maps
. 113
§ 19
Nuclear Spaces
. 119
§ 20
Nuclear Maps
. 125
$ 21
Traces
. 136
ç
22
Fredholm
Theory
. 140
References
151
Notations
153
Index
155
SCHNEIDER
Nonarchimedean
Functional Analysis
The present book is a self-contained text which leads the
reader through all the important aspects of the theory of
locally convex vector spaces over nonarchimedean fields.
One can observe an increasing interest in methods from
nonarchimedean functional analysis, particularly in number
theory and in the representation theory of p-adic reductive
groups. The book gives a concise and clear account of this
theory, it carefully lays the foundations and also develops
the more advanced topics. Although the book will be a
valuable reference work for experts in the field* it is mainly
intended as a streamlined but detailed introduction for
researchers and graduate students who wish to apply these
methods in different areas. |
| any_adam_object | 1 |
| author | Schneider, Peter 1953- |
| author_GND | (DE-588)1013768965 |
| author_facet | Schneider, Peter 1953- |
| author_role | aut |
| author_sort | Schneider, Peter 1953- |
| author_variant | p s ps |
| building | Verbundindex |
| bvnumber | BV013970073 |
| callnumber-first | Q - Science |
| callnumber-label | QA322 |
| callnumber-raw | QA322 |
| callnumber-search | QA322 |
| callnumber-sort | QA 3322 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)48761395 (DE-599)BVBBV013970073 |
| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013970073 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T09:02:47Z |
| institution | BVB |
| isbn | 3540425330 9783642076404 9783540425335 |
| language | English |
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| physical | 156 S. |
| publishDate | 2002 |
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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 2002 156 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Hier auch später erschienene, unveränderte Nachdrucke 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 - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009562427&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009562427&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| 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 |
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