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Introductory course in functional analysis / Adam Bowers and Nigel J. Kalton.

By: Contributor(s): Material type: TextTextSeries: UniversitextPublication details: New York : Springer, 2014.Description: xvi, 232 p. : ill. ; 24 cmISBN:
  • 9781493919444
Subject(s): DDC classification:
  • 515.7 23 B786
Contents:
1. Introduction.- 2 Classical Banach spaces and their duals.- 3 The Hahn-Banach theorems.- 4 Consequences of completeness.- 5 Consequences of convexity.- 6 Compact operators and Fredholm theory.- 7 Hilbert space theory.- 8 Banach algebras.- Appendix A Basics of measure theory.- Appendix B Results from other areas of mathematics.- References.- Index.
Summary: This book is well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.
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Includes bibliographical references and index.

1. Introduction.-
2 Classical Banach spaces and their duals.-
3 The Hahn-Banach theorems.-
4 Consequences of completeness.-
5 Consequences of convexity.-
6 Compact operators and Fredholm theory.-
7 Hilbert space theory.-
8 Banach algebras.-
Appendix A Basics of measure theory.-
Appendix B Results from other areas of mathematics.- References.-
Index.

This book is well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

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