A First Course in Functional Analysis

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.