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Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics
Author: Wolfram Bauer
Publisher: Springer Nature
Total 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.


Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics

Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics
Author: H. Bercovicii
Publisher: Birkhäuser
Total Pages: 213
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034887795

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This volume, dedicated to Carl Pearcy on the occasion of his 60th birthday, presents recent results in operator theory, nonselfadjoint operator algebras, measure theory and the theory of moments. The articles on these subjects have been contributed by leading area experts, many of whom were associated with Carl Pearcy as students or collaborators. The book testifies to his multifaceted interests and includes a biographical sketch and a list of publications.


Operator Theory, Operator Algebras, and Matrix Theory

Operator Theory, Operator Algebras, and Matrix Theory
Author: Carlos André
Publisher: Birkhäuser
Total Pages: 372
Release: 2018-08-22
Genre: Mathematics
ISBN: 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.


Recent Advances in Operator Theory, Operator Algebras, and their Applications

Recent Advances in Operator Theory, Operator Algebras, and their Applications
Author: Dumitru Gaspar
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2006-03-30
Genre: Mathematics
ISBN: 3764373148

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This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.


Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications
Author: Maria Amélia Bastos
Publisher: Springer Science & Business Media
Total Pages: 437
Release: 2008-05-27
Genre: Mathematics
ISBN: 3764386843

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This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.


Analysis of Toeplitz Operators

Analysis of Toeplitz Operators
Author: Albrecht Böttcher
Publisher: Springer Science & Business Media
Total 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.


Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics
Author: Dario A. Bini
Publisher: Birkhäuser
Total Pages: 740
Release: 2017-03-21
Genre: Mathematics
ISBN: 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.


Toeplitz Operators and Related Topics

Toeplitz Operators and Related Topics
Author: Estelle L. Basor
Publisher: Birkhäuser
Total 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.


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
Total Pages: 436
Release: 2008-11-20
Genre: Mathematics
ISBN: 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.