The structure of nuclear Fréchet spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1979
|
| Series: | Lecture notes in mathematics
720 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 187 S. |
| ISBN: | 3540095047 0387095047 |
Staff View
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| 245 | 1 | 0 | |a The structure of nuclear Fréchet spaces |c Ed Dubinsky |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Page
INTRODUCTION 1
I. PRELIMINARIES 6
1. Prerequisites 6
2 . Terminology 6
3 . Kothe Spaces 7
4 . Power Series Spaces 9
5. The Spaces Lf(a,r) 11
6. Kolmogorov Diameters 15
7. Notes and Remarks 21
II. GENERALITIES 2 3
1. Type (di) , i = 0,l,...,6 23
2 . The Basic Construction Tools 35
3. Some First Constructions 41
4 . Notes and Remarks 52
III. SUBSPACES 53
1. The Fundamental Inequality 53
2 . Stable Power Series Spaces 54
3. Unstable Power Series Spaces 67
4. Weakly Stable Power Series Spaces 73
5. Mixed Power Series Spaces 84
6. Lf(a,r) Spaces With r = 0, °° 85
7. Notes and Remarks 105
IV. QUOTIENT SPACES 108
1. The Fundamental Inequality 108
2 . Stable Power Series Spaces Ill
3. Notes and Remarks 12 5
V. COMPLEMENTED SUBSPACES 128
1. Complemented Basic Sequences 128
2. Bases in Complemented Subspaces 132
3. Notes and Remarks 153
VI. APPROXIMATION PROPERTIES 155
1. Definitions and Problems 155
2. Negative Solutions to the Existence and
Permanence Problems 157
3. The Bounded Approximation Property 168
4. Summary of Results 180
5. Notes and Remarks 181
REFERENCES 184
|
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| id | DE-604.BV002258089 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:54Z |
| institution | BVB |
| isbn | 3540095047 0387095047 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001483923 |
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| physical | 187 S. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Dubinsky, Ed Verfasser aut The structure of nuclear Fréchet spaces Ed Dubinsky Berlin [u.a.] Springer 1979 187 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 720 Espaces nucléaires (Analyse fonctionnelle) Fréchet, Espaces de Lineaire algebra gtt Opérateurs linéaires Fréchet spaces Linear operators Nuclear spaces (Functional analysis) Fréchet-Raum (DE-588)4155254-4 gnd rswk-swf Fréchet-Raum (DE-588)4155254-4 s DE-604 Lecture notes in mathematics 720 (DE-604)BV000676446 720 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001483923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dubinsky, Ed The structure of nuclear Fréchet spaces Lecture notes in mathematics Espaces nucléaires (Analyse fonctionnelle) Fréchet, Espaces de Lineaire algebra gtt Opérateurs linéaires Fréchet spaces Linear operators Nuclear spaces (Functional analysis) Fréchet-Raum (DE-588)4155254-4 gnd |
| subject_GND | (DE-588)4155254-4 |
| title | The structure of nuclear Fréchet spaces |
| title_auth | The structure of nuclear Fréchet spaces |
| title_exact_search | The structure of nuclear Fréchet spaces |
| title_full | The structure of nuclear Fréchet spaces Ed Dubinsky |
| title_fullStr | The structure of nuclear Fréchet spaces Ed Dubinsky |
| title_full_unstemmed | The structure of nuclear Fréchet spaces Ed Dubinsky |
| title_short | The structure of nuclear Fréchet spaces |
| title_sort | the structure of nuclear frechet spaces |
| topic | Espaces nucléaires (Analyse fonctionnelle) Fréchet, Espaces de Lineaire algebra gtt Opérateurs linéaires Fréchet spaces Linear operators Nuclear spaces (Functional analysis) Fréchet-Raum (DE-588)4155254-4 gnd |
| topic_facet | Espaces nucléaires (Analyse fonctionnelle) Fréchet, Espaces de Lineaire algebra Opérateurs linéaires Fréchet spaces Linear operators Nuclear spaces (Functional analysis) Fréchet-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001483923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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