Non-Archimedean functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dekker
1978
|
| Schriftenreihe: | Pure and applied mathematics.
51. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 404 S. |
| ISBN: | 0824765567 |
Internformat
MARC
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| 490 | 1 | |a Pure and applied mathematics. |v 51. | |
| 650 | 4 | |a Analyse fonctionnelle | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
INTRODUCTION iii
Chapter 1. PRELIMINAKIES : VALUATIONS
Chapter 2. PRELIMINARIES: TOPOLOGY 21
ZERO DIMENSIONAL TOPOLOGICAL SPACES 21
SMALL SETS 28
NON ARCHIMEDEAN UNIFORMITIES 34
Notes 37
Chapter 3. BANACH SPACES 45
DEFINITIONS AND EXAMPLES 45
BASIC OPERATIONS WITH BANACH SPACES 50
LINEAR OPERATORS 58
BANACH SPACES OF COUNTABLE TYPE 65
EXTENSIONS OF VALUATIONS 75
Notes 85
Chapter k. SPHERICALLY COMPLETE BANACH SPACES 97
BASIC PROPERTIES AND EXAMPLES 97
INGLETON S THEOREM 100
REFLEXIVITY 110
THE TENSOR PRODUCT 123
COMPACT OPERATORS 133
THE SPHERICAL COMPLETION 146
Notes 155
viii
CONTENTS ix
Chapter 5. ORTHOGONAL BASES 165
ORTHOGONAL SYSTEMS OF VECTORS 165
ORTHOGONAL BASES 170
ORTHOGONAL BASES IN C(X) 187
Notes 195
Chapter 6. BANACH ALGEBRAS 203
DEFINITIONS AND EXAMPLES 203
C (X) 208
00
C ALGEBRAS 213
POWER MULTIPLICATIVE NORMS 221
Notes 240
Chapter 7. INTEGRATION 2U7
MEASURES 248
INTEGRATION 260
TIGHT MEASURES 269
APPENDIX : ANTIDERIVATION 282
Notes 292
Chapter 8. INVARIANT MEASURES 301
LOCALLY COMPACT GROUPS 302
L(G) FOR COMPACT G 319
COMPACT SEMIGROUPS 332
ALMOST PERIODIC FUNCTIONS 340
Notes 344
Chapter 9. FOURIER THEORY 348
DUALITY THEORY 348
THE FOURIER STIELTJES TRANSFORMATION 359
Notes 368
x NON ARCHIMEDEAN FUNCTIONAL ANALYSIS
REFERENCES 373
INDEX 389
GLOSSARY OF SYMBOLS 399
|
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| discipline | Mathematik |
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| id | DE-604.BV003628189 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:59Z |
| institution | BVB |
| isbn | 0824765567 |
| language | English |
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| physical | X, 404 S. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics. |
| series2 | Pure and applied mathematics. |
| spelling | Rooij, Arnoud C. M. van 1936- Verfasser (DE-588)115757198 aut Non-Archimedean functional analysis A. C. M. van Rooji New York Dekker 1978 X, 404 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics. 51. Analyse fonctionnelle Fonctionnalisme (Sciences sociales) Functional analysis Nichtarchimedische Analysis (DE-588)4171709-0 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s Nichtarchimedische Analysis (DE-588)4171709-0 s DE-604 Pure and applied mathematics. 51. (DE-604)BV000001885 51. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002311231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rooij, Arnoud C. M. van 1936- Non-Archimedean functional analysis Pure and applied mathematics. Analyse fonctionnelle Fonctionnalisme (Sciences sociales) Functional analysis Nichtarchimedische Analysis (DE-588)4171709-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4171709-0 (DE-588)4018916-8 |
| title | Non-Archimedean functional analysis |
| title_auth | Non-Archimedean functional analysis |
| title_exact_search | Non-Archimedean functional analysis |
| title_full | Non-Archimedean functional analysis A. C. M. van Rooji |
| title_fullStr | Non-Archimedean functional analysis A. C. M. van Rooji |
| title_full_unstemmed | Non-Archimedean functional analysis A. C. M. van Rooji |
| title_short | Non-Archimedean functional analysis |
| title_sort | non archimedean functional analysis |
| topic | Analyse fonctionnelle Fonctionnalisme (Sciences sociales) Functional analysis Nichtarchimedische Analysis (DE-588)4171709-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Analyse fonctionnelle Fonctionnalisme (Sciences sociales) Functional analysis Nichtarchimedische Analysis Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002311231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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