Foundations of Functional Analysis

ISBN-10: 1842650793
ISBN-13: 9781842650790
Edition: 2002
Author(s): S. Ponnusamy
Description: Foundations of Functional Analysis provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers: Basic facts of  More...
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List Price: $74.95
Copyright Year: 2002
Publisher: Morgan & Claypool
Binding: Cloth Text 
Pages: 457
Size: 6.00" wide x 9.25" long x 1.00" tall
Weight: 2.090
Language: English

Foundations of Functional Analysis provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers: Basic facts of linear algebra and real analysis Normed spaces, contraction mappings, linear operators between normed spaces and fundamental results on these topics. Hilbert spaces and the representation of continuous linear function with applications. In this self-contained book, all the concepts, results and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.

Preface
Index of Special Notations
Basic Analysisp. 1
Analysis and Linear Algebrap. 3
Concepts in Metric Spacesp. 59
Banach Spacesp. 141
Normed Spacesp. 143
Contraction Mappings and Applicationsp. 197
Linear Operators on Normed Spacesp. 221
Hilbert Spacesp. 339
Inner Product Spacesp. 343
Representation of Linear Functionalsp. 429
Bibliographyp. 449
Indexp. 451
Table of Contents provided by Blackwell. All Rights Reserved.

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