Overview
- Authors:
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Israel Gohberg
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School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Israel
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Seymour Goldberg
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Department of Mathematics, University of Maryland, College Park, USA
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Marinus A. Kaashoek
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Faculteit Wiskunde en Informatica, Vrije Universiteit, Amsterdam, The Netherlands
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About this book
After the book "Basic Operator Theory" by Gohberg-Goldberg was pub lished, we, that is the present authors, intended to continue with another book which would show the readers the large variety of classes of operators and the important role they play in applications. The book was planned to be of modest size, but due to the profusion of results in this area of analysis, the number of topics grew larger than ex pected. Consequently, we decided to divide the material into two volumes - the first volume being presented now. During the past years, courses and seminars were given at our respective in stitutions based on parts of the texts. These were well received by the audience and enabled us to make appropriate choices for the topics and presentation for the two vol umes. We would like to thank G.J. Groenewald, A.B. Kuijper and A.C.M. Ran of the Vrije Universiteit at Amsterdam, who provided us with lists of remarks and corrections. We are now aware that the Basic Operator Theory book should be revised so that it may suitably fit in with our present volumes. This revision is planned to be the last step of an induction and not the first.
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Table of contents (20 chapters)
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Front Matter
Pages I-XIII
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Introduction
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 1-2
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General Spectral Theory
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 4-24
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 25-35
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 36-48
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 49-58
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 59-87
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Classes of Compact Operators
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 96-108
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 109-137
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 138-147
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 148-162
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 163-175
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Fredholm Operators: General Theory and Wiener-Hopf Integral Operators
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Front Matter
Pages 183-183
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 184-214
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 215-231
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 232-281
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Classes of Unbounded Linear Operators
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Front Matter
Pages 287-287
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- Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Pages 288-322
Authors and Affiliations
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School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Israel
Israel Gohberg
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Department of Mathematics, University of Maryland, College Park, USA
Seymour Goldberg
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Faculteit Wiskunde en Informatica, Vrije Universiteit, Amsterdam, The Netherlands
Marinus A. Kaashoek