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Titlebook: Basic Classes of Linear Operators; Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe Textbook 2003 Springer Basel AG 2003 Hilbert space.O

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期刊全称Basic Classes of Linear Operators
影响因子2023Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe
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发行地址Significantly enlarged and revised version of "Basic Operator Theory" by I. Gohberg and S. Goldberg.Introductory textbook for senior undergraduate or graduate courses on operator theory or functional
图书封面Titlebook: Basic Classes of Linear Operators;  Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe Textbook 2003 Springer Basel AG 2003 Hilbert space.O
影响因子The present book is an expanded and enriched version ofthe textBasicOperator Theory, written by the first two authors more than twenty years ago. Since then the three ofus have used the basic operator theory text in various courses. This experience motivated us to update and improve the old text by including a wider variety ofbasic classes ofoperators and their applications. The present book has also been written in such a way that it can serve as an introduction to our previous booksClassesofLinearOperators, Volumes I and II. We view the three books as a unit. We gratefully acknowledge the support of the mathematical departments of Tel-Aviv University, the University of Maryland at College Park, and the Vrije Universiteit atAmsterdam. The generous support ofthe Silver Family Foundation is highly appreciated. Amsterdam, November 2002 The authors Introduction This elementary text is an introduction to functional analysis, with a strong emphasis on operator theory and its applications. It is designed for graduate and senior undergraduate students in mathematics, science, engineering, and other fields.
Pindex Textbook 2003
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Spectral Theory of Integral Operators,rators. In general, the spectral series representations of these operators converge in the .-norm which is not strong enough for many applications. Therefore we prove the Hilbert-Schmidt theorem and Mercer’s theorem since each of these theorems gives conditions for a uniform convergence of the spect
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Toeplitz and Singular Integral Operators,ntation as simple as possible we have chosen a special class of symbols, namely those that are analytic in an annulus around the unit circle. For this class of symbols the results are independent of .. We prove the theorems about left and right invertibility and derive the Fredholm properties. Also,
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Laurent and Toeplitz Operators,perators form important classes of operators and they appear in many applications. They also have remarkable properties. For instance, there are different methods to invert explicitly these operators, and to compute their spectra. This chapter reviews these results starting from the simplest class.
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