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.

Originally published: New Delhi : Narosa Pub. House, 1999.

Includes bibliographical references (pages 431-433) and index.

Print version record.

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.

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