Toeplitz Operators and Index Theory in Several Complex Variables (Operator Theory: Advances and Applications)

Harald Upmeier

ISBN 10: 3034899602 / ISBN 13: 9783034899604

Published by Birkhaeuser, 2012

About this Item

reprint edition. 481 pages. 9.25x6.10x1.12 inches. In Stock.

Seller Inventory # x-3034899602

Bibliographic Details

• Title: Toeplitz Operators and Index Theory in Several Complex Variables (Operator Theory: Advances and Applications)
• Publisher: Birkhaeuser
• Publication Date: 2012
• Language: English
• ISBN 10: 3034899602
• ISBN 13: 9783034899604
• Binding: Paperback
• Condition: Brand New
• Weight: 0.75 kilograms

About this title

Synopsis

4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.