Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
1970
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
105 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003552790&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VII, 235 S. |
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| 100 | 1 | |a Powell, Michael H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Compactly covered reflections, extension of uniform dualities and generalized almost periodicity |c by Michael H. Powell |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 1970 | |
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 105 | |
| 650 | 4 | |a Espaces localement compacts | |
| 650 | 4 | |a Espaces uniformes | |
| 650 | 4 | |a Topologie | |
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Datensatz im Suchindex
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|---|---|
| DE-BY-UBR_call_number | 80/SA 2285-105/109 |
| DE-BY-UBR_katkey | 1017461 |
| DE-BY-UBR_location | UB Lesesaal Mathematik |
| DE-BY-UBR_media_number | 069007589776 |
| _version_ | 1835104485939085314 |
| adam_text | TABLE OF CONTENTS
Page No.
FOREWORD
INTRODUCTION 1
Chapter 1: Preliminaries 5
1 Synops is 5
2 Terminology from Set Theory and Topology 6
3 Terminology Concerning Categories 10
4 Terminology Concerning Uniform Structures 13
5 Terminology Concerning Algebra 17
6 Terminology from the Theory of Locally 20
Convex Spaces
Chapter 2 : Compactly Covered Reflections 24
1 Synopsis 24
2 Cartesian Categories 26
3 Examples of Cartesian Categories 30
4 Unlformizing Rules for Cartesian Categories 32
5 Examples of Uniformizing Rules for Cartesian 38
Categories
6 Dual Objects 41
7 Compactly Covered Reflections in Cartesian 44
Categories
8 Examples of Compactly Covered Reflections 50
Chapter 3: Uniform Dualities 55
1 Synopsis 55
2 Basic Definitions and Terminology Concerning 55
Uniform Dualities
3 Transpose Maps 61
4 Completeness in a Uniform Duality 65
5 Precompactness in a Uniform Duality 71
v
Chapter 4 : Almost Periodic Functions and Linear Forms 76
1 Synopsis 76
2 Action o y a Monoid on a Duality 77
3 Action of a Covered Monoid on a Duality 80
4 Almost Periodic Elements in a Duality 84
5 Almost Periodic Functions on a Covered 91
Uniform Monoid
6 Almost Periodic Linear Forms on a Covered 99
Locally Convex Algebra
Chapter 5 : Extension of Uniform Dualities 106
1 Synopsis 106
2 Extension Contexts in a Duality of Sets 107
3 Extension Contexts in a Duality in a 113
Cartesian Category
4 Extension Contexts over a Uniformized Object 119
5 The Double Sequence Property 125
6 The Double Sequence Property and Extension 130
Contexts
7 An Application: Arens Multiplication in 136
the Bidual of a Bornological Algebra
8 A Generalized Eberlein Grothendieck Theorem 151
9 Extension Theorems 155
10 An Application: Weakly Almost Periodic 159
Linear Forms on a Covered Locally Convex
Algebra
Chapter 6: Linear Extension of Uniform Dualities 173
1 Synopsis 173
2 Linear Extension Contexts 174
3 The Convex Double Sequence Property 181
4 Ptak s Combinatorial Lemma and the Double 184
Limit Property
5 The Convex Double Sequence Property and 186
Linear Extension Contexts
6 A Generalized Eberlein Grothendieck Krein 187
Theorem
7 Linear Extension Theorems 191
Vi
8 An Application: Weakly Almost Periodic 197
Functions on a Covered Uniform Monoid
9 Compact Reflections of Uniform Monoids: 208
Extensions of Some Results of De Leeuw and
Glicksberg
Symbol Index 221
Terminology Index 224
Bibliography 233
vii
|
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| id | DE-604.BV005688054 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:36:48Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003552790 |
| oclc_num | 224998657 |
| open_access_boolean | |
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| physical | VII, 235 S. |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Powell, Michael H. Compactly covered reflections, extension of uniform dualities and generalized almost periodicity American Mathematical Society: Memoirs of the American Mathematical Society Espaces localement compacts Espaces uniformes Topologie Uniforme Dualität (DE-588)4299991-1 gnd Erweiterung (DE-588)4128080-5 gnd |
| subject_GND | (DE-588)4299991-1 (DE-588)4128080-5 |
| title | Compactly covered reflections, extension of uniform dualities and generalized almost periodicity |
| title_auth | Compactly covered reflections, extension of uniform dualities and generalized almost periodicity |
| title_exact_search | Compactly covered reflections, extension of uniform dualities and generalized almost periodicity |
| title_full | Compactly covered reflections, extension of uniform dualities and generalized almost periodicity by Michael H. Powell |
| title_fullStr | Compactly covered reflections, extension of uniform dualities and generalized almost periodicity by Michael H. Powell |
| title_full_unstemmed | Compactly covered reflections, extension of uniform dualities and generalized almost periodicity by Michael H. Powell |
| title_short | Compactly covered reflections, extension of uniform dualities and generalized almost periodicity |
| title_sort | compactly covered reflections extension of uniform dualities and generalized almost periodicity |
| topic | Espaces localement compacts Espaces uniformes Topologie Uniforme Dualität (DE-588)4299991-1 gnd Erweiterung (DE-588)4128080-5 gnd |
| topic_facet | Espaces localement compacts Espaces uniformes Topologie Uniforme Dualität Erweiterung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003552790&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT powellmichaelh compactlycoveredreflectionsextensionofuniformdualitiesandgeneralizedalmostperiodicity |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: | 0102 MAT 001z 2001 B 990-101/105 |
|---|---|
| Exemplar 1 |
Ausleihbar
Am Standort
Dieser Titel ist mit anderen zusammengebunden. Bitte bestellen Sie folgenden: Decay of solutions of systems of nonlinear hyperbolic conservation laws
InhaltFolgende Werke befinden sich in dem Buch mit der oben genannten Signatur.
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