Some questions in constructive functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Providence ; Rhode Islande
American Mathematical Society
1974
|
| Schriftenreihe: | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics
Number 114 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russischen übersetzt |
| Beschreibung: | iv, 228 Seiten |
| ISBN: | 0821830147 |
Internformat
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| 240 | 1 | 0 | |a Nekotorye voprosy konstruktivnogo funktsional' nogo analiza |
| 245 | 1 | 0 | |a Some questions in constructive functional analysis |c by Fan Din'-Zieu [Phan Diǹh Diêu] |
| 264 | 1 | |a Providence ; Rhode Islande |b American Mathematical Society |c 1974 | |
| 300 | |a iv, 228 Seiten | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |v Number 114 | |
| 500 | |a Aus dem Russischen übersetzt | ||
| 650 | 4 | |a Distributions, Théorie des (Analyse fonctionnelle) | |
| 650 | 4 | |a Espaces localement convexes | |
| 650 | 4 | |a Mathématiques constructives | |
| 650 | 4 | |a Constructive mathematics | |
| 650 | 4 | |a Locally convex spaces | |
| 650 | 4 | |a Theory of distributions (Functional analysis) | |
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Datensatz im Suchindex
| _version_ | 1804117340798844928 |
|---|---|
| adam_text | PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
IN THE ACADEMY OF SCIENCES OF THE USSR
(Tpy/ibi MaTeMaTMMecKoro MHCTKTyTa mm. B. A. OeKJioBa, t. CXIV, 1970)
TABLE OF CONTENTS
Introduction 1
Chapter I. Constructive Locally Convex Linear Topological
Spaces 11
1. Basic concepts and properties 11
2. Separation. Open and closed sets 18
3. Completeness of constructive locally convex spaces 24
4. Constructive multinormed spaces 37
Chapter II. Certain Basic Structures of the Theory of Con¬
structive Locally Convex Spaces 52
1. Product of a family of constructive locally convex spaces 52
2. The projective limit of the projective spectrum of constructive
locally compact spaces 59
3. Inductive limit of the inductive spectrum of constructive locally
convex spaces 65
4. Dimension of constructive locally convex spaces 73
Chapter III. Spaces Adjoint to Constructive Locally Convex
Spaces 79
1. Bounded sets in a constructive locally convex space 79
2. The space adjoint to a constructive locally convex space 88
3. The space adjoint to a constructive normed space 99
4. Dimension of the adjoint space 105
Chapter IV. Constructive Generalized Functions 112
1. Almost uniformly continuous constructive functions 112
2. Preparatory remarks. Topology in the space of words of the
type ui 118
3. Constructive generalized functions 127
4. Differentiation of constructive generalized functions 143
iii
iv TABLE OF CONTENTS
Chapter V. Order, Support, and Value at a Point, for a Con¬
structive Generalized Function 154
1. Constructive generalized functions given in an interval 154
2. Order and support of a constructive generalized function 160
3. Value of a constructive generalized function at a point 170
Chapter VI. Spaces of Constructive Infinitely Differentiable
Functions and Constructive Functionals on Them 180
1. Spaces of constructive almost uniformly continuous and infinitely
differentiable functions 180
2. Constructive linear operators and functionals in the enumerably
normed space KM 197
3. Constructive continuous linear functionals in the space K 213
Appendix. Two Lemmas on Constructive Real Numbers 223
Bibliography 226
|
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| id | DE-604.BV003052065 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:52:51Z |
| institution | BVB |
| isbn | 0821830147 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001912278 |
| oclc_num | 1069322023 |
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| physical | iv, 228 Seiten |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| series2 | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| spelling | Phan Diǹh Diêu Verfasser aut Nekotorye voprosy konstruktivnogo funktsional' nogo analiza Some questions in constructive functional analysis by Fan Din'-Zieu [Phan Diǹh Diêu] Providence ; Rhode Islande American Mathematical Society 1974 iv, 228 Seiten txt rdacontent n rdamedia nc rdacarrier Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Number 114 Aus dem Russischen übersetzt Distributions, Théorie des (Analyse fonctionnelle) Espaces localement convexes Mathématiques constructives Constructive mathematics Locally convex spaces Theory of distributions (Functional analysis) Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Lokalkonvexer Raum (DE-588)4168126-5 gnd rswk-swf Konstruktive Analysis (DE-588)4473957-6 gnd rswk-swf Lokalkonvexer Raum (DE-588)4168126-5 s DE-604 Distribution Funktionalanalysis (DE-588)4070505-5 s Konstruktive Analysis (DE-588)4473957-6 s Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Number 114 (DE-604)BV000009943 114 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001912278&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Phan Diǹh Diêu Some questions in constructive functional analysis Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Distributions, Théorie des (Analyse fonctionnelle) Espaces localement convexes Mathématiques constructives Constructive mathematics Locally convex spaces Theory of distributions (Functional analysis) Distribution Funktionalanalysis (DE-588)4070505-5 gnd Lokalkonvexer Raum (DE-588)4168126-5 gnd Konstruktive Analysis (DE-588)4473957-6 gnd |
| subject_GND | (DE-588)4070505-5 (DE-588)4168126-5 (DE-588)4473957-6 |
| title | Some questions in constructive functional analysis |
| title_alt | Nekotorye voprosy konstruktivnogo funktsional' nogo analiza |
| title_auth | Some questions in constructive functional analysis |
| title_exact_search | Some questions in constructive functional analysis |
| title_full | Some questions in constructive functional analysis by Fan Din'-Zieu [Phan Diǹh Diêu] |
| title_fullStr | Some questions in constructive functional analysis by Fan Din'-Zieu [Phan Diǹh Diêu] |
| title_full_unstemmed | Some questions in constructive functional analysis by Fan Din'-Zieu [Phan Diǹh Diêu] |
| title_short | Some questions in constructive functional analysis |
| title_sort | some questions in constructive functional analysis |
| topic | Distributions, Théorie des (Analyse fonctionnelle) Espaces localement convexes Mathématiques constructives Constructive mathematics Locally convex spaces Theory of distributions (Functional analysis) Distribution Funktionalanalysis (DE-588)4070505-5 gnd Lokalkonvexer Raum (DE-588)4168126-5 gnd Konstruktive Analysis (DE-588)4473957-6 gnd |
| topic_facet | Distributions, Théorie des (Analyse fonctionnelle) Espaces localement convexes Mathématiques constructives Constructive mathematics Locally convex spaces Theory of distributions (Functional analysis) Distribution Funktionalanalysis Lokalkonvexer Raum Konstruktive Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001912278&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000009943 |
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