UID:
almahu_9947368102502882
Format:
1 online resource (383 p.)
ISBN:
1-281-77760-9
,
9786611777609
,
0-08-087135-6
Series Statement:
North-Holland mathematics studies ; 24
Content:
Topological algebras
Note:
Description based upon print version of record.
,
Front Cover; Topological Algebras; Copyright Page; Contents; Chapter 0. Fundamentals; 0.1 Topologies defined by families of functions; 0.2 Uniformities defined by families of functions; Chapter 1. Algebras of Continuous Functions; 1.1 The Stone-Cech compactification; 1.2 Zero sets; 1.3 Maximal ideals and z-filters; 1.4 Maximal ideals and the Stone-Cech compactification; 1.5 Replete spaces; 1.6 Characters and uT; 1.7 0-1 measures, ßT, and Ulam cardinals; 1.8 Shirota's theorem on repleteness; Chapter 2. Topological Vector Spaces of Continuous Functions
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2.1 Metrizability of C(T,F,c) and hemicompactness2.2 Completeness and kR -spaces; 2.3 k-spaces, kR -spaceg and pseudof inite spaces; 2.4 Continuous 8ual of C(T,F,c) and support; 2.5 Barreledness of C(T,F,c); 2.6 Bornologicity of C(T,F,c); 2.7 Separability of C(T,F,c); 2.8 The bornology of C(T,F,c); Chapter 3. Lattices and Wallman Compactifications; 3.1 Lattices; 3.2 Lattices and associated compactifications; 3.3 Wallman compactifications of topological spaces; 3.4 ßT and Wallman compactifications; 3.5 A class of Wallman-type compactifications; 3.6 Equivalent Wallman spaces
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Chapter 4. Topological Algebras4.1 Topological algebras; 4.2 Multiplicative sets and multiplicative seminorms; 4.3 Locally m-convex algebras; 4.4 Final topologies and quotients; 4.5 The factor algebras; 4.6 Complete LMCH algebras and projective limits; 4.7 The spectrum; 4.8 Q-algebras and algebras with continuous inverse; 4.9 Topological division algebras and the Gelfand-Mazur theorem; 4.10 Maximal ideals and homomorphisms; 4.11 The radical and derivations; 4.12 Some elements of Gelfand theory; 4.13 Continuity of homomorphisms; Chapter 5. Hull-Kernel Topologies; 5.1 Hull-kernel topologies
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5.2 Regular algebras and normality conditions5.3 Condition hH; 5.4 M as a Wallman compactification of Mc; 5.5 The X-repletion of Mc; 5.6 Frechet algebras; Chapter 6. LB-Algebras; 6.1 LB-algebras; 6.2 Some properties of LB-algebras; 6.3 Complete LMC LB-algebras; References; Index of Symbols; Index
,
English
Additional Edition:
ISBN 0-7204-0724-9
Language:
English
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