Course in Functional Analysis

ISBN-10: 0387972455
ISBN-13: 9780387972459
Edition: 2nd 2007 (Revised)
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Description: 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  More...

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Book details

Edition: 2nd
Copyright year: 2007
Publisher: Springer
Publication date: 1/25/1994
Binding: Hardcover
Pages: 400
Size: 6.25" wide x 9.75" long x 1.00" tall
Weight: 1.584
Language: English

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.

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

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