Multiplication Operators On The Bergman Space

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Multiplication Operators On The Bergman Space

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Author : Kunyu Guo
language : en
Publisher: Springer
Release Date : 2015-06-23

Multiplication Operators On The Bergman Space written by Kunyu Guo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-23 with Mathematics categories.

This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. The book reviews past developments and offers insights into cutting-edge developments in the study of multiplication operators. It also provides commentary and comparisons to stimulate research in this area.

Multiplication Operators And Invariant Subspaces On Bergman Spaces

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Author : William Thomas Ross
language : en
Publisher:
Release Date : 1991

Multiplication Operators And Invariant Subspaces On Bergman Spaces written by William Thomas Ross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Algebraic spaces categories.

Commutants Of Toeplitz Operators On The Bergman Space

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Author : Zĕljko Cŭckŏvić
language : en
Publisher:
Release Date : 1991

Commutants Of Toeplitz Operators On The Bergman Space written by Zĕljko Cŭckŏvić and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Function spaces categories.

Commutative Algebras Of Toeplitz Operators On The Bergman Space

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Author : Nikolai Vasilevski
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-20

Commutative Algebras Of Toeplitz Operators On The Bergman Space written by Nikolai Vasilevski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-20 with Mathematics categories.

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.

Handbook Of Analytic Operator Theory

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Author : Kehe Zhu
language : en
Publisher: CRC Press
Release Date : 2019-05-10

Handbook Of Analytic Operator Theory written by Kehe Zhu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-10 with Mathematics categories.

This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators

Banach Algebra Techniques In Operator Theory

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Author : R. G. Douglas
language : en
Publisher:
Release Date : 1976

Banach Algebra Techniques In Operator Theory written by R. G. Douglas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.

Operator Theory For Complex And Hypercomplex Analysis

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Author : Enrique Ramírez de Arellano
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Operator Theory For Complex And Hypercomplex Analysis written by Enrique Ramírez de Arellano and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

This book presents a collection of papers on certain aspects of general operator theory related to classes of important operators: singular integral, Toeplitz and Bergman opertors, convolution operators on Lie groups, pseudodifferential operators, etc. The study of these operators arises from integral representations for different classes of functions, enriches pure opertor theory, and is influential and beneficial for important areas of analysis. Particular attention is paid to the fruitful interplay of recent developments of complex and hypercomplex analysis on one side and to operator theory on the other. The majority of papers illustrate this interplay as well as related applications. The papers represent the proceedings of the conference "Operator Theory and Complex and Hypercomplex Analysis", held in Decenber 1994 in Mexico City.

Operator Theory In Function Spaces

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Author : Kehe Zhu
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Operator Theory In Function Spaces written by Kehe Zhu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.

Multivariable Operator Theory

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Author : Ernst Albrecht
language : en
Publisher: Springer Nature
Release Date : 2023-12-21

Multivariable Operator Theory written by Ernst Albrecht and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.

Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Operator Theory In Harmonic And Non Commutative Analysis

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Author : Joseph A. Ball
language : en
Publisher: Springer
Release Date : 2014-06-21

Operator Theory In Harmonic And Non Commutative Analysis written by Joseph A. Ball and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-21 with Mathematics categories.

This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.