Functional analysis and valuation theory:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dekker
1971
|
| Schriftenreihe: | Pure and applied mathematics
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 192 S. |
| ISBN: | 0824714849 |
Internformat
MARC
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| 245 | 1 | 0 | |a Functional analysis and valuation theory |c by Lawrence Narici, Edward Beckenstein and George Bachman |
| 264 | 1 | |a New York |b Dekker |c 1971 | |
| 300 | |a VI, 192 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 5 | |
| 650 | 4 | |a Algèbres topologiques | |
| 650 | 4 | |a Espaces linéaires normés | |
| 650 | 4 | |a Normed linear spaces | |
| 650 | 4 | |a Topological algebras | |
| 650 | 0 | 7 | |a Bewertungstheorie |0 (DE-588)4122918-6 |2 gnd |9 rswk-swf |
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| 689 | 1 | 0 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Beckenstein, Edward |d 1940- |e Verfasser |0 (DE-588)12179637X |4 aut | |
| 700 | 1 | |a Bachman, George |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804117023759794176 |
|---|---|
| adam_text | Contents
Preface iii
1. TOPOLOGICAL RESULTS 1
1.1 Elementary Considerations 1
1.2 A Metrization Theorem 10
1.3 The Index of a Nonarchimedean Space 18
1.4 Local Compactness 21
Exercises 1 26
2. COMPLETENESS 28
2.1 Spherical Completeness and Pseudo Completeness 29
2.2 Countable Linear Compactness 38
2.3 Maximal Completeness and Pseudo Completeness 41
2.4 The Existence of a Maximal Completion 47
2.5 F Convexity and c Compactness 55
Exercises 2 59
3. NORMED LINEAR SPACES 65
3.1 The Residue Class Space 65
3.2 Local Compactness 70
3.3 The Hahn Banach Theorem 74
v
vi Contents
3.4 The Banach Steinhaus Theorem 83
3.5 Completely Continuous Operators and the Fredholm
Alternative Theorem 85
3.6 The Resolvent Set of a Linear Operator 91
Exercises 3 93
4. NORMED ALGEBRAS 101
4.1 Normed Algebras; Mazur Gelfand Theorem 101
4.2 The Spectrum 110
4.3 Maximal Ideals 115
4.4 The Gelfand Subalgebra 117
4.5 Topologizing the Maximal Ideals 121
4.6 Regular Algebras 128
4.7 Algebraic Algebras 140
4.8 V* Algebras 147
4.9 Function Algebras 150
4.10 The Tietze Extension Theorem and Stone Weierstrass
Theorem 157
4.11 Representation Theorems 163
Exercises 4 165
APPENDIX: EXAMPLES 169
REFERENCES 178
Index of Symbols 187
Index 189
|
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| author | Narici, Lawrence 1941- Beckenstein, Edward 1940- Bachman, George |
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| callnumber-raw | QA322.2 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)201677 (DE-599)BVBBV002643679 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:47:49Z |
| institution | BVB |
| isbn | 0824714849 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001696319 |
| oclc_num | 201677 |
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| physical | VI, 192 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Narici, Lawrence 1941- Verfasser (DE-588)121796361 aut Functional analysis and valuation theory by Lawrence Narici, Edward Beckenstein and George Bachman New York Dekker 1971 VI, 192 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 5 Algèbres topologiques Espaces linéaires normés Normed linear spaces Topological algebras Bewertungstheorie (DE-588)4122918-6 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s Bewertungstheorie (DE-588)4122918-6 s DE-604 Beckenstein, Edward 1940- Verfasser (DE-588)12179637X aut Bachman, George Verfasser aut Pure and applied mathematics 5 (DE-604)BV000001885 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001696319&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Narici, Lawrence 1941- Beckenstein, Edward 1940- Bachman, George Functional analysis and valuation theory Pure and applied mathematics Algèbres topologiques Espaces linéaires normés Normed linear spaces Topological algebras Bewertungstheorie (DE-588)4122918-6 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4122918-6 (DE-588)4018916-8 |
| title | Functional analysis and valuation theory |
| title_auth | Functional analysis and valuation theory |
| title_exact_search | Functional analysis and valuation theory |
| title_full | Functional analysis and valuation theory by Lawrence Narici, Edward Beckenstein and George Bachman |
| title_fullStr | Functional analysis and valuation theory by Lawrence Narici, Edward Beckenstein and George Bachman |
| title_full_unstemmed | Functional analysis and valuation theory by Lawrence Narici, Edward Beckenstein and George Bachman |
| title_short | Functional analysis and valuation theory |
| title_sort | functional analysis and valuation theory |
| topic | Algèbres topologiques Espaces linéaires normés Normed linear spaces Topological algebras Bewertungstheorie (DE-588)4122918-6 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Algèbres topologiques Espaces linéaires normés Normed linear spaces Topological algebras Bewertungstheorie Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001696319&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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