Topological vector spaces:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Univ. Press
1973
|
| Edition: | 2. ed. |
| Series: | Cambridge tracts in mathematics and mathematical physics
53 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 172 S. |
| ISBN: | 0521201241 |
Staff View
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Record in the Search Index
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| adam_text | TOPOLOGICAL VECTOR SPACES BY A.P.ROBERTSON PROFESSOR OF MATHEMATICS
MURDOCH UNIVERSITY, WESTERN AUSTRALIA AND WENDY ROBERTSON SENIOR
LECTURER IN MATHEMATICS UNIVERSITY OF WESTERN AUSTRALIA SECOND EDITION
CAMBRIDGE AT THE UNIVERSITY PRESS 1973 CONTENTS PREFACE PAGE VII I
DEFINITIONS AND ELEMENTARY PROPERTIES 1. VECTOR SPACES 1 2. TOPOLOGICAL
SPACES 5 3. TOPOLOGICAL VECTOR SPACES 9 4. SEMINORMS 12 SUPPLEMENT 17 II
DUALITY AND THE HAHN-BANACH THEOREM 1. LINEAR MAPPINGS 23 2. LINEAR
FORMS AND THE HAHN-BANACH THEOREM 24 3. DUALITY AND THE WEAK TOPOLOGY 31
4. POLAR SETS 34 5. FINITE-DIMENSIONAL SUBSPACES 36 6. THE TRANSPOSE OF
A LINEAR MAPPING 38 SUPPLEMENT 40 III TOPOLOGIES ON DUAL SPACES AND THE
MACKEY-ARENS THEOREM 1. BOUNDED SETS 44 2. POLAR TOPOLOGIES 46 3.
PRECOMPACT SETS 48 4. COMPACT SETS 52 5. FILTERS 55 6. COMPLETENESS 58
7. THE MACKEY-ARENS THEOREM 61 SUPPLEMENT 63 IV BARRELLED SPACES AND THE
BANACH-STEINHAUS THEOREM 1. BARRELLED SPACES 65 2. TOPOLOGIES ON SPACES
OF LINEAR MAPPINGS 68 3. THE BIDUAL AND RENEXIVITY 70 SUPPLEMENT 73 V
INDUCTIVE AND PROJECTIVE LIMITS 1. QUOTIENT SPACES 76 2. INDUCTIVE
LIMITS 78 VI CONTENTS 3. MACKEY SPACES 81 4. PROJECTIVE LIMITS 84 5.
PRODUCT SPACES 87 6. DIRECT SUMS 89 7. TOPOLOGICAL SUPPLEMENTS 95
SUPPLEMENT 97 VI COMPLETENESS AND THE CLOSED GRAPH THEOREM 1. THE
COMPLETION OF A CONVEX SPACE 101 2. CLOSED GRAPH AND OPEN MAPPING
THEOREMS 110 3. FRE CHET SPACES 118 SUPPLEMENT 122 VII SOME FURTHER
TOPICS 1. STRICT INDUCTIVE LIMITS 127 2. BILINEAR MAPPINGS AND TENSOR
PRODUCTS 130 3. THE KREIN-MILMAN THEOREM 138 SUPPLEMENT 140 VIII COMPACT
LINEAR MAPPINGS 1. THE RIESZ THEORY 142 2. DUALITY THEORY 151 APPENDIX
1. SPACES WITH WEBS 155 2. THE CLOSED GRAPH THEOREM 157 3. THE SCOPE OF
THE THEOREMS 160 SUPPLEMENT 165 BIBLIOGRAPHY 168 INDEX 171
|
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| id | DE-604.BV005717198 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:34Z |
| institution | BVB |
| isbn | 0521201241 |
| language | English |
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| physical | VIII, 172 S. |
| psigel | TUB-nvmb |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Univ. Press |
| record_format | marc |
| series | Cambridge tracts in mathematics and mathematical physics |
| series2 | Cambridge tracts in mathematics and mathematical physics |
| spelling | Robertson, Alexander Provan Verfasser (DE-588)1074708628 aut Topological vector spaces by A. P. Robertson and Wendy Robertson 2. ed. Cambridge Univ. Press 1973 VIII, 172 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics and mathematical physics 53 Espaces vectoriels topologiques Espaces vectoriels topologiques ram Linear topological spaces Topologischer Vektorraum (DE-588)4122383-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Topologischer Vektorraum (DE-588)4122383-4 s DE-604 Algebraische Topologie (DE-588)4120861-4 s Robertson, Wendy 1927- Verfasser (DE-588)1053285779 aut Cambridge tracts in mathematics and mathematical physics 53 (DE-604)BV001887938 53 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003571208&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Robertson, Alexander Provan Robertson, Wendy 1927- Topological vector spaces Cambridge tracts in mathematics and mathematical physics Espaces vectoriels topologiques Espaces vectoriels topologiques ram Linear topological spaces Topologischer Vektorraum (DE-588)4122383-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| subject_GND | (DE-588)4122383-4 (DE-588)4120861-4 |
| title | Topological vector spaces |
| title_auth | Topological vector spaces |
| title_exact_search | Topological vector spaces |
| title_full | Topological vector spaces by A. P. Robertson and Wendy Robertson |
| title_fullStr | Topological vector spaces by A. P. Robertson and Wendy Robertson |
| title_full_unstemmed | Topological vector spaces by A. P. Robertson and Wendy Robertson |
| title_short | Topological vector spaces |
| title_sort | topological vector spaces |
| topic | Espaces vectoriels topologiques Espaces vectoriels topologiques ram Linear topological spaces Topologischer Vektorraum (DE-588)4122383-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| topic_facet | Espaces vectoriels topologiques Linear topological spaces Topologischer Vektorraum Algebraische Topologie |
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