Banach algebra techniques in operator theory

書誌事項

Banach algebra techniques in operator theory

Ronald G. Douglas

(Graduate texts in mathematics, 179)

Springer, c1998

2nd ed

  • : hardcover

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注記

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

内容説明・目次

内容説明

A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.

目次

1 Banach Spaces.- 2 Banach Algebras.- 3 Geometry of Hilbert Space.- 4 Operators on Hilbert Space and C*-Algebras.- 5 Compact Operators, Fredholm Operators, and Index Theory.- 6 The Hardy Spaces.- 7 Toeplitz Operators.- References.

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