A Course in Functional Analysis

by
Edition: 2nd
Format: Hardcover
Pub. Date: 1990-10-01
Publisher(s): Springer Verlag
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Summary

This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.

Table of Contents

Hilbert Spaces
Operators on Hilbert Space
Banach Spaces
Locally Convex Spaces
Weak Topologies
Linear Operators on a Banach Space
Banach Algebras and Spectral Theory for Operators on a Banach Space
C Algebras
Normal Operators on Hilbert Space
Unbounded Operators
Fredholm Theory
Table of Contents provided by Publisher. All Rights Reserved.

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