Schwartz spaces, nuclear spaces and tensor products:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1979
|
| Schriftenreihe: | Lecture notes in mathematics
726 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 418 S. |
| ISBN: | 3540095136 0387095136 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804116717428801536 |
|---|---|
| adam_text | CONTENTS
CHAPTER 0. GENERAL NOTATIONS 1
CHAPTER 1. SCHWARTZ SPACES
1.1 Preoompaot linear mappings 8
1.2 Precompact seminorms and Schwartz spaces 14
1.3 Precompact-bounded linear mappings 24
1.4 Properties of Schwartz spaces 29
1.5 Universal Schwartz spaces 48
CHAPTER 2. VECTOR SEQUENCE SPACES AND ABSOLUTELY SUMMING MAPPINGS
2.1 Locally convex topologies on vector sequence spaces 52
2.2 Absolutely summing mappings 69
2.3 Duality theorems in sequence spaces 86
2.4 X-summability of sequences 110
CHAPTER 3. NUCLEAR SPACES
3.1 Nuclear linear mappings 133
3.2 Prenuclear seminorms and nuclear spaces 146
3.3 Prenuclear-bounded linear mappings 156
3.4 Quasi-nuclear-bounded linear mappings 161
3.5 Properties of nuclear spaces 175
3.6 Nuclearity of Kb the spaces 190
3.7 Universal nuclear spaces 215
3.8 Supplements - Nuclearity associated with a -space 224
CHAPTER 4. TENSOR PRODUCTS
4.1 The ir-norm and the e-norm on a tensor product 233
4.2 The s-norm on tensor products 273
4.3 Linear mappings of finite rank 288
4.4 Locally convex tensor products 300
VIII
4.5 Tensor product mappings 318
4.6 Criteria for nuolearity 331
CHAPTER 5. TENSOR PRODUCTS OF ORDERED CONVEX SPACES
5.1 The I -norm on tensor products 343
5.2 The protective cone and biprojective cone 358
5.3 The ordered protective topology and ordered biprojective
topology 374
BIBLIOGRAPHY 404
INDEX AND SYMBOLS 413
|
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| dewey-ones | 515 - Analysis 510 - Mathematics |
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| dewey-search | 515/.73 510/.8 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:57Z |
| institution | BVB |
| isbn | 3540095136 0387095136 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001485342 |
| oclc_num | 5126158 |
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| physical | VIII, 418 S. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Wong, Yau-chuen Verfasser aut Schwartz spaces, nuclear spaces and tensor products Yau-Chuen Wong Berlin [u.a.] Springer 1979 VIII, 418 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 726 Espaces nucléaires (Analyse fonctionnelle) Produits tensoriels Schwartz, Espaces de Nuclear spaces (Functional analysis) Schwartz spaces Tensor products Schwartz-Raum (DE-588)4180331-0 gnd rswk-swf Nuklearer Raum (DE-588)4172136-6 gnd rswk-swf Tensorprodukt (DE-588)4059478-6 gnd rswk-swf Tensorprodukt (DE-588)4059478-6 s DE-604 Schwartz-Raum (DE-588)4180331-0 s Nuklearer Raum (DE-588)4172136-6 s Lecture notes in mathematics 726 (DE-604)BV000676446 726 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001485342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wong, Yau-chuen Schwartz spaces, nuclear spaces and tensor products Lecture notes in mathematics Espaces nucléaires (Analyse fonctionnelle) Produits tensoriels Schwartz, Espaces de Nuclear spaces (Functional analysis) Schwartz spaces Tensor products Schwartz-Raum (DE-588)4180331-0 gnd Nuklearer Raum (DE-588)4172136-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| subject_GND | (DE-588)4180331-0 (DE-588)4172136-6 (DE-588)4059478-6 |
| title | Schwartz spaces, nuclear spaces and tensor products |
| title_auth | Schwartz spaces, nuclear spaces and tensor products |
| title_exact_search | Schwartz spaces, nuclear spaces and tensor products |
| title_full | Schwartz spaces, nuclear spaces and tensor products Yau-Chuen Wong |
| title_fullStr | Schwartz spaces, nuclear spaces and tensor products Yau-Chuen Wong |
| title_full_unstemmed | Schwartz spaces, nuclear spaces and tensor products Yau-Chuen Wong |
| title_short | Schwartz spaces, nuclear spaces and tensor products |
| title_sort | schwartz spaces nuclear spaces and tensor products |
| topic | Espaces nucléaires (Analyse fonctionnelle) Produits tensoriels Schwartz, Espaces de Nuclear spaces (Functional analysis) Schwartz spaces Tensor products Schwartz-Raum (DE-588)4180331-0 gnd Nuklearer Raum (DE-588)4172136-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| topic_facet | Espaces nucléaires (Analyse fonctionnelle) Produits tensoriels Schwartz, Espaces de Nuclear spaces (Functional analysis) Schwartz spaces Tensor products Schwartz-Raum Nuklearer Raum Tensorprodukt |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001485342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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