Operator Algebras, Toeplitz Operators and Related Topics
Operator Algebras, Toeplitz Operators and Related Topics

Author: Wolfram Bauer

Publisher: Springer Nature

Published: 2020-09-01

Total Pages: 467

ISBN-13: 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.

Operator Algebras, Toeplitz Operators and Related Topics
Operator Algebras, Toeplitz Operators and Related Topics

Author: Wolfram Bauer

Publisher: Birkhäuser

Published: 2021-09-02

Total Pages: 467

ISBN-13: 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.

Toeplitz Operators and Related Topics
Toeplitz Operators and Related Topics

Author: Estelle L. Basor

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 208

ISBN-13: 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.

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics
Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

Author: Dario A. Bini

Publisher: Birkhäuser

Published: 2017-03-21

Total Pages: 757

ISBN-13: 3319491822

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This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.

Singular Integral Operators and Related Topics
Singular Integral Operators and Related Topics

Author: A. Böttcher

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 325

ISBN-13: 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.

A Panorama of Modern Operator Theory and Related Topics
A Panorama of Modern Operator Theory and Related Topics

Author: Harry Dym

Publisher: Springer Science & Business Media

Published: 2012-02-01

Total Pages: 635

ISBN-13: 3034802218

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This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.

Operator Theory, Operator Algebras, and Matrix Theory
Operator Theory, Operator Algebras, and Matrix Theory

Author: Carlos André

Publisher: Birkhäuser

Published: 2018-08-22

Total Pages: 381

ISBN-13: 3319724495

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This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. Reflecting recent developments in the field of algebras of operators, operator theory and matrix theory, it particularly focuses on groupoid algebras and Fredholm conditions, algebras of approximation sequences, C* algebras of convolution type operators, index theorems, spectrum and numerical range of operators, extreme supercharacters of infinite groups, quantum dynamics and operator algebras, and inverse eigenvalue problems. Establishing bridges between the three related areas of operator algebras, operator theory, and matrix theory, the book is aimed at researchers and graduate students who use results from these areas.

Commutative Algebras of Toeplitz Operators on the Bergman Space
Commutative Algebras of Toeplitz Operators on the Bergman Space

Author: Nikolai Vasilevski

Publisher: Springer Science & Business Media

Published: 2008-11-20

Total Pages: 436

ISBN-13: 3764387262

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This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key point to understanding their structure and classifying them lies in the hyperbolic geometry of the unit disk. The book develops a number of important problems whose successful solution was made possible and is based on the specific features of the Toeplitz operators from these commutative algebras.

Complex Aanalysis and Related Topics
Complex Aanalysis and Related Topics

Author: Enrique Ramírez de Arellano

Publisher: Springer Science & Business Media

Published: 2000

Total Pages: 304

ISBN-13: 9783764362287

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This volume is a collection of up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. The articles cover many important and essential subjects, such as the Schrödinger equation, subelliptic operators, Lie algebras and superalgebras, Toeplitz and Hankel operators, reproducing kernels and Qp spaces, among others. Most of the papers were presented at the International Symposium on Complex Analysis and Related Topics held in Cuernavaca (Morelos), Mexico, in November 1996, which was attended by approximately 50 experts in the field. The book can be used as a reference work on recent research in the subjects covered. It is one of the few books stressing the relation between operator theory and complex and hypercomplex analyses. The book is addressed to researchers and postgraduate students in the fields named here and in related ones.