Topological Algebras

Other | November 1, 2000

byBalachandran, V.K., V.k. Balachandran

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This book consists of nine chapters. Chapter 1 is devoted to algebraic preliminaries. Chapter 2 deals with some of the basic definition and results concerning topological groups, topological linear spaces and topological algebras. Chapter 3 considered some generalizations of the norm. Chapter 4 is concerned with a generalization of the notion of convexity called p-convexity. In Chapter 5 some differential and integral analysis involving vector valued functions is developed. Chapter 6 is concerned with spectral analysis and applications. The Gelfand representation theory is the subject-matter of Chapter 7. Chapter 8 deals with commutative topological algebras. Finally in Chapter 9 an exposition of the norm uniqueness theorems of Gelfand and Johnson (extended to p-Banach algebras) is given.

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From the Publisher

This book consists of nine chapters. Chapter 1 is devoted to algebraic preliminaries. Chapter 2 deals with some of the basic definition and results concerning topological groups, topological linear spaces and topological algebras. Chapter 3 considered some generalizations of the norm. Chapter 4 is concerned with a generalization of t...

Format:OtherDimensions:460 pages, 1 × 1 × 1 inPublished:November 1, 2000Publisher:North HollandLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0080543081

ISBN - 13:9780080543086

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Table of Contents

Chapter 1:Algebraic Preliminaries
Chapter 2:Topological Preliminaries
Chapter 3:Some Type of Topological Algebras
Chapter 4:Locally Pseudo-Convex Spaces and Algebras
Chapter 5:Some Analysis
Chapter 6:Spectral Analysis in Topological Algebras
Chapter 7:Gelfand Representation Theory
Chapter 8:Commutative Topological Algebras
Chapter 9:Norm Uniqueness Theorems
Appendix. Type Chart. Biliography. Index. List of Special Symbols. List of Special Abbreviations.