Bachman, George

Functional analysis - New York : Dover Publications, 1966 - xii, 532 p. ; ill., 25 cm - Academic Press textbooks in mathematics .

Includes bibliographical references.

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.

9780486322612


Functional Analysis
Inner-product spaces
Normed and metric spaces
Topological spaces
Complete orthonormal sets
Hahn-Banach theorem
Spectral notions
Square roots
Spectral decomposition theorem

517.5 / BAC

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