Functional Analysis

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 reader&;s understanding of text material. A glossary of definitions detailed proofs of theorems bibliography and index of symbols round out this comprehensive text. 1966 edition.