Functional Analysis

About this book

Excellent treatment of the subject geared toward students with background in linear algebra advanced calculus physics and engineering. Text covers introduction to inner-product spaces normed and metric spaces and topological spaces; complete orthonormal sets the Hahn-Banach theorem and its consequences spectral notions square roots a spectral decomposition theorem and many other related subjects. Chapters conclude with exercises intended to test and reinforce readers understanding of text material. A glossary of definitions detailed proofs of theorems bibliography and index of symbols round out this comprehensive text. 1966 edition. Excellent treatment of the subject geared toward students with background in linear algebra advanced calculus physics and engineering. Text covers introduction to inner-product spaces normed and metric spaces and topological spaces; complete orthonormal sets the Hahn-Banach theorem and its consequences spectral notions square roots a spectral decomposition theorem and many other related subjects. Chapters conclude with exercises intended to test and reinforce readers understanding of text material. A glossary of definitions detailed proofs of theorems bibliography and index of symbols round out this comprehensive text. 1966 edition.