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Banach Algebra Techniques in Operator Theory : Graduate Texts in Mathematics - Ronald G. Douglas

Banach Algebra Techniques in Operator Theory

Graduate Texts in Mathematics

Paperback Published: 27th July 1998
ISBN: 9780387983776
Number Of Pages: 198

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The intention of this book is to discuss certain advanced topics in operator theory and to provide the necessary background for them assuming only the standard senior to first-year-graduate courses in general topology, measure theory, and algebra. At the end of each chapter there are source notes which suggest additional reading and give some comments on who proved what and when. In addition, following each chapter is a large number of problems of varying difficulty. This new edition will appeal to a new generation of students seeking an introduction to operator theory.

Preface to the Second Edition
Preface to the First Edition
Symbols and Notation
Banach Spacesp. 1
Banach Algebrasp. 30
Geometry of Hilbert Spacep. 58
Operators on Hilbert Space and C*-Algebrasp. 74
Compact Operators, Fredholm Operators, and Index Theoryp. 108
The Hardy Spacesp. 133
Toeplitz Operatorsp. 158
Referencesp. 185
Indexp. 191
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387983776
ISBN-10: 0387983775
Series: Graduate Texts in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 198
Published: 27th July 1998
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.03 x 16.15  x 1.63
Weight (kg): 0.45
Edition Number: 2
Edition Type: Revised