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Designed for undergraduate mathematics majors, this introductory treatment is based on the distinguished author's lecture notes. The 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 analytic functions into a Banach space. 1966 edition.
Table of Contents
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