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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-mat

Topological algebras. --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Algebras, Topological --- Functional analysis --- Linear topological spaces --- Rings (Algebra)