A First Course in Functional Analysis (Dover Books on Mathematics)
Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and more. 1966 edition. Preface 1. Set Theoretical Preliminaries 2. Normed Linear Spaces and Algebras 3. Functions on Banach Spaces 4. Homomorphisms on Normed Linear Spaces 5. Analytic Functions into a Banach Space Index
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