Toeplitz Operators and Related Topics

Toeplitz Operators and Related Topics
Title Toeplitz Operators and Related Topics PDF eBook
Author Estelle L. Basor
Publisher Birkhäuser
Pages 208
Release 2012-12-06
Genre Mathematics
ISBN 3034885431

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This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szegö-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.

Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics
Title Operator Algebras, Toeplitz Operators and Related Topics PDF eBook
Author Wolfram Bauer
Publisher Springer Nature
Pages 467
Release 2020-09-01
Genre Mathematics
ISBN 3030446514

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This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Singular Integral Operators and Related Topics

Singular Integral Operators and Related Topics
Title Singular Integral Operators and Related Topics PDF eBook
Author A. Böttcher
Publisher Birkhäuser
Pages 325
Release 2012-12-06
Genre Mathematics
ISBN 3034890400

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This volume contains a selection of papers on modern operator theory and its applications, arising from a joint workshop on linear one-dimensional singular integral equations. The book is of interest to a wide audience in the mathematical and engineering sciences.

Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics
Title Operator Algebras, Toeplitz Operators and Related Topics PDF eBook
Author Wolfram Bauer
Publisher Birkhäuser
Pages 467
Release 2021-09-02
Genre Mathematics
ISBN 9783030446536

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This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Commutation Properties of Hilbert Space Operators and Related Topics

Commutation Properties of Hilbert Space Operators and Related Topics
Title Commutation Properties of Hilbert Space Operators and Related Topics PDF eBook
Author Calvin R. Putnam
Publisher Springer Science & Business Media
Pages 177
Release 2012-12-06
Genre Mathematics
ISBN 3642859380

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What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica tions of the results obtained are made to quantum mechanics, perturba tion theory, Laurent and Toeplitz operators, singular integral trans formations, and Jacobi matrices.

Nonselfadjoint Operators and Related Topics

Nonselfadjoint Operators and Related Topics
Title Nonselfadjoint Operators and Related Topics PDF eBook
Author Avraham Feintuch
Publisher Springer Science & Business Media
Pages 448
Release 1994
Genre Mathematics
ISBN 9783764350970

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This volume presents the Proceedings of the Joint U.S. / Israel Workshop on Operator Theory and Its Applications, held February 24-28, 1992, at the Ben Gurion University of the Negev, Beersheva. This event was sponsored by the United States / Israel Binational Science Foundation and the Ben Gurion University of the Negev, and many outstanding experts in operator theory took part. The workshop honored Professor Emeritus Moshe Livsic on the occasion of his retirement. The volume contains a selection of papers covering a wide range of topics in modern operator theory and its applications, from abstract operator theory to system theory and computers in operator models. The papers treat linear and nonlinear problems, and study operators from different abstract and concrete classes. Many of the topics concern the area in which contributions of Moshe Livsic were extremely important. This book will appeal to a wide audience of pure and applied mathematicians and engineers.

Analysis of Toeplitz Operators

Analysis of Toeplitz Operators
Title Analysis of Toeplitz Operators PDF eBook
Author Albrecht Böttcher
Publisher Springer Science & Business Media
Pages 511
Release 2013-06-29
Genre Mathematics
ISBN 366202652X

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A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.