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Compactly covered reflections : extension of uniform dualities and generalized almost periodicity /

Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autor principal:	Powell, Michael H. (Autor)
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Providence, Rhode Island : American Mathematical Society, 1970.
Colección:	Memoirs of the American Mathematical Society ; no. 105.
Temas:	Uniform algebras. Algèbres uniformes. Uniform algebras
Acceso en línea:	Texto completo

Tabla de Contenidos:

Table of Contents
Foreword
Introduction
Chapter 1: Preliminaries
1 Synopsis
2 Terminology from Set Theory and Topology
3 Terminology Concerning Categories
4 Terminology Concerning Uniform Structures
5 Terminology Concerning Algebra
6 Terminology from the Theory of Locally Convex Spaces
Chapter 2: Compactly Covered Reflections
1 Synopsis
2 Cartesian Categories
3 Examples of Cartesian Categories
4 Uniformizing Rules for Cartesian Categories
5 Examples of Uniformizing Rules for Cartesian Categories
6 Dual Objects.
7 Compactly Covered Reflections in Cartesian Categories
8 Examples of Compactly Covered Reflections
Chapter 3: Uniform Dualities
1 Synopsis
2 Basic Definitions and Terminology Concerning Uniform Dualities
3 Transpose Maps
4 Completeness in a Uniform Duality
5 Precompactness in a Uniform Duality
Chapter 4: Almost Periodic Functions and Linear Forms
1 Synopsis
2 Action of a Monoid on a Duality
3 Action of a Covered Monoid on a Duality
4 Almost Periodic Elements in a Duality
5 Almost Periodic Functions on a Covered Uniform Monoid.
6 Almost Periodic Linear Forms on a Covered Locally Convex Algebra
Chapter 5: Extension of Uniform Dualities
1 Synopsis
2 Extension Contexts in a Duality of Sets
3 Extension Contexts in a Duality in a Cartesian Category
4 Extension Contexts over a Uniformized Object
5 The Double Sequence Property
6 The Double Sequence Property and Extension Contexts
7 An Application: Arens Multiplication in the Bidual of a Bornological Algebra
8 A Generalized Eberlein-Grothendieck Theorem
9 Extension Theorems.
10 An Application: Weakly Almost Periodic Linear Forms on a Covered Locally Convex Algebra
Chapter 6: Linear Extension of Uniform Dualities
1 Synopsis
2 Linear Extension Contexts
3 The Convex Double Sequence Property
4 Pták's Combinatorial Lemma and the Double Limit Property
5 The Convex Double Sequence Property and Linear Extension Contexts
6 A Generalized Eberlein-Grothendieck-Krein Theorem
7 Linear Extension Theorems
8 An Application: Weakly Almost Periodic Functions on a Covered Uniform Monoid.
9 Compact Reflections of Uniform Monoids: Extensions of Some Results of De Leeuw and Glicksberg
Symbol Index
Terminology Index
A
B
C
D
E
F
G
I
K
L
M
N
O
P
Q
R
S
T
U
W
Bibliography.

Compactly covered reflections : extension of uniform dualities and generalized almost periodicity /

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