A First Course in Functional Analysis

by Martin Davis

Overview

This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics.
A self-contained exposition of Gelfand's proof of Wiener's theorem, this volume 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. Numerous problems appear throughout the book.

Product Details

ISBN-13:	9780486499833
Publisher:	Dover Publications
Publication date:	05/22/2013
Series:	Dover Books on Mathematics Series
Pages:	128
Product dimensions:	5.30(w) x 8.40(h) x 0.50(d)

About the Author

Martin Davis is Professor Emeritus of Mathematics at New York University. His other Dover books include Computability and Unsolvability; The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions; and Applied Nonstandard Analysis.

Table of Contents

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