Topological Algebras

Topological Algebras

1st Edition - November 23, 2000

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  • Author: V.K. Balachandran
  • eBook ISBN: 9780080543086

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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.

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.

Product details

  • No. of pages: 460
  • Language: English
  • Copyright: © North Holland 2000
  • Published: November 23, 2000
  • Imprint: North Holland
  • eBook ISBN: 9780080543086

About the Author

V.K. Balachandran

Affiliations and Expertise

Ramanujan Institute for Advanced Studies in Mathematics, Chennai, India.

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