Introduction to tensor products of Banach spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2002
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| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 225 S. graph. Darst. |
| ISBN: | 1852334371 |
Internformat
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Datensatz im Suchindex
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| adam_text | RAYMOND A. RYAN INTRODUCTION TO TENSOR PRODUCTS OF BANACH SPACES WITH 31
FIGURES SPRINGER CONTENTS TENSOR PRODUCTS 1 1.1 TENSOR PRODUCTS OF
VECTOR SPACES 1 1.2 TENSOR PRODUCTS AND LINEARIZATION 5 1.3 TENSORS AS
LINEAR MAPPINGS OR BILINEAR FORMS 7 1.4 TENSOR AND TRACE DUALITY 9 1.5
EXAMPLES AND APPLICATIONS 10 1.6 EXERCISES 12 THE PROJECTIVE TENSOR
PRODUCT 15 2.1 THE PROJECTIVE NORM 15 2.2 THE DUAL SPACE OF X V Y 22
2.3 LI((J,) N X AND THE BOCHNER INTEGRAL 25 2.4 I-SPACES 30 2.5
RADEMACHER TECHNIQUES 32 2.6 NUCLEAR BILINEAR FORMS AND OPERATORS 39 2.7
EXERCISES 42 THE INJECTIVE TENSOR PRODUCT 45 3.1 THE INJECTIVE NORM 45
3.2 C{K) AND .C^-SPACES 49 3.3 LI((J,) E X AND THE PETTIS INTEGRAL 51
3.4 THE DUAL SPACE OF X E Y 57 3.5 INTEGRAL OPERATORS 62 3.6 EXERCISES
68 THE APPROXIMATION PROPERTY 71 4.1 THE APPROXIMATION PROPERTY 71 4.2
REFIEXIVITY OF TENSOR PRODUCTS 82 4.3 TENSOR PRODUCT BASES 87 4.4
EXERCISES 91 THE RADON-NIKODYM PROPERTY 93 5.1 VECTOR MEASURES AND THE
RADON-NIKODYM PROPERTY 93 5.2 TENSOR PRODUCTS AND VECTOR MEASURES 103
5.3 OPERATORS ON C{K) SPACES 108 XIV CONTENTS 5.4 OPERATORS ON LI(/X)
SPACES 114 5.5 THE PRINCIPLE OF LOCAL REFLEXIVITY 122 5.6 EXERCISES 125
6 THE CHEVET-SAPHAR TENSOR PRODUCTS 127 6.1 TENSOR NORMS 127 6.2 THE
CHEVET-SAPHAR TENSOR NORMS 133 6.3 P-SUMMING OPERATORS 140 6.4
GROTHENDIECK S INEQUALITY 152 6.5 EXERCISES 157 7 TENSOR NORMS 159 7.1
THE DUAL NORM 159 7.2 INJECTIVE AND PROJECTIVE ASSOCIATES 165 7.3 THE
CHEVET-SAPHAR DUAL NORMS AND P-INTEGRAL OPERATORS ... 170 7.4 THE
HILBERTIAN TENSOR NORM 176 7.5 EXERCISES 184 8 OPERATOR IDEALS 187 8.1
THE FORMS AND OPERATORS ASSOCIATED WITH A TENSOR NORM ... 187 8.2
OPERATOR IDEALS 194 8.3 EXERCISES 198 A SUGGESTIONS FOR FURTHER READING
201 B SUMMABILITY IN BANACH SPACES _ 205 C SPACES OF MEASURES 21 1
REFERENCES 219 INDEX 223
|
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| id | DE-604.BV014023796 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:56:19Z |
| institution | BVB |
| isbn | 1852334371 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009603267 |
| oclc_num | 248189659 |
| open_access_boolean | |
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| owner_facet | DE-703 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-824 DE-634 DE-20 DE-83 DE-739 DE-11 DE-384 |
| physical | XIV, 225 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
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| series2 | Springer monographs in mathematics |
| spelling | Ryan, Ray 1965- Verfasser (DE-588)136727549 aut Introduction to tensor products of Banach spaces Raymond A. Ryan London [u.a.] Springer 2002 XIV, 225 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum (DE-588)4004402-6 gnd rswk-swf Tensorprodukt (DE-588)4059478-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Tensorprodukt (DE-588)4059478-6 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009603267&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ryan, Ray 1965- Introduction to tensor products of Banach spaces Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum (DE-588)4004402-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4059478-6 |
| title | Introduction to tensor products of Banach spaces |
| title_auth | Introduction to tensor products of Banach spaces |
| title_exact_search | Introduction to tensor products of Banach spaces |
| title_full | Introduction to tensor products of Banach spaces Raymond A. Ryan |
| title_fullStr | Introduction to tensor products of Banach spaces Raymond A. Ryan |
| title_full_unstemmed | Introduction to tensor products of Banach spaces Raymond A. Ryan |
| title_short | Introduction to tensor products of Banach spaces |
| title_sort | introduction to tensor products of banach spaces |
| topic | Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum (DE-588)4004402-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| topic_facet | Banach-Raum - Tensorprodukt Banach spaces Tensor products Banach-Raum Tensorprodukt |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009603267&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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