Topological algebras

by Balachandran, V. K.

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Title Statements

Full title :Topological algebras / V. K. Balachandran.

Summary

Preface; Chapter 1. Algebraic Preliminaries; Chapter 2. Topological Preliminaries; Chapter 3. Some Types 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; Bibliography; Index; List of Special Symbols; List of Special Abbreviations.

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.

Edition Statements

Publication Date:2000
Edition:Licenced ed

Publication Statements

Publisher(s):Elsevier
Place of Publication:Amsterdam [u.a.]
Language:eng
Publication Date:2000

Notes

Originally published: New Delhi : Narosa Pub. House, 1999. - Includes bibliographical references (p. [431]-433) and index. - Description based on print version record.