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Banach algebra techniques in operator theory / Ronald G. Douglas.

By: Material type: TextTextLanguage: English Series: Graduate texts in mathematics ; 179Publication details: New York : Springer, c1998.Edition: 2nd edDescription: xvi, 194 p. : ill. ; 25 cmISBN:
  • 0387983775 (hardcover : alk. paper)
Subject(s): DDC classification:
  • 515.724 21 DOU
Online resources:
Contents:
Banach spaces Banach algebras Geometry of Hilbert space Operators on Hilbert space and C Algebras Compact operators, Fredholm operators, and index theory The Hardy spaces Toeplitz operators
Summary: 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
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Item type Current library Collection Call number Status Date due Barcode
Project book Project book CUTN Central Library Non-fiction 515.724 DOU (Browse shelf(Opens below)) Checked out to Renuka Devi V (20019T) 31/01/2024 48818

Includes bibliographical references (p. 185-190) and index.

Banach spaces
Banach algebras
Geometry of Hilbert space
Operators on Hilbert space and C Algebras
Compact operators, Fredholm operators, and index theory
The Hardy spaces
Toeplitz operators

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

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