Handbook of Analytic Operator Theory

Handbook of Analytic Operator Theory
Title Handbook of Analytic Operator Theory PDF eBook
Author Kehe Zhu
Publisher CRC Press
Pages 360
Release 2019-05-10
Genre Mathematics
ISBN 1351045547

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Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators. The volume consists of eleven articles in the general area of analytic function spaces and operators on them. Each contributor focuses on one particular topic, for example, operator theory on the Drury-Aversson space, and presents the material in the form of a survey paper which contains all the major results in the area and includes all relevant references. The overalp between this volume and existing books in the area is minimal. The material on two-variable weighted shifts by Curto, the Drury-Averson space by Fang and Xia, the Cowen-Douglas class by Misra, and operator theory on the bi-disk by Yang has never appeared in book form before. Features: The editor of the handbook is a widely known and published researcher on this topic The handbook's contributors are a who's=who of top researchers in the area The first contributed volume on these diverse topics

Handbook of Analytic Operator Theory

Handbook of Analytic Operator Theory
Title Handbook of Analytic Operator Theory PDF eBook
Author Kehe Zhu
Publisher CRC Press
Pages 275
Release 2019-05-10
Genre Mathematics
ISBN 1351045539

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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

Multivariable Operator Theory

Multivariable Operator Theory
Title Multivariable Operator Theory PDF eBook
Author Ernst Albrecht
Publisher Springer Nature
Pages 893
Release 2024-01-22
Genre Mathematics
ISBN 3031505352

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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.

Lectures on Analytic Function Spaces and their Applications

Lectures on Analytic Function Spaces and their Applications
Title Lectures on Analytic Function Spaces and their Applications PDF eBook
Author Javad Mashreghi
Publisher Springer Nature
Pages 426
Release 2023-11-14
Genre Mathematics
ISBN 3031335724

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The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.

A Spectral Theory Of Noncommuting Operators

A Spectral Theory Of Noncommuting Operators
Title A Spectral Theory Of Noncommuting Operators PDF eBook
Author Rongwei Yang
Publisher Springer Nature
Pages 277
Release
Genre
ISBN 3031516052

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The Mathematical Legacy of Victor Lomonosov

The Mathematical Legacy of Victor Lomonosov
Title The Mathematical Legacy of Victor Lomonosov PDF eBook
Author Richard M. Aron
Publisher Walter de Gruyter GmbH & Co KG
Pages 364
Release 2020-08-10
Genre Mathematics
ISBN 3110656752

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The fundamental contributions made by the late Victor Lomonosov in several areas of analysis are revisited in this book, in particular, by presenting new results and future directions from world-recognized specialists in the field. The invariant subspace problem, Burnside’s theorem, and the Bishop-Phelps theorem are discussed in detail. This volume is an essential reference to both researchers and graduate students in mathematical analysis.

Notes on the Brown-Douglas-Fillmore Theorem

Notes on the Brown-Douglas-Fillmore Theorem
Title Notes on the Brown-Douglas-Fillmore Theorem PDF eBook
Author Sameer Chavan
Publisher Cambridge University Press
Pages 260
Release 2021-10-07
Genre Mathematics
ISBN 1009032453

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Suitable for both postgraduate students and researchers in the field of operator theory, this book is an excellent resource providing the complete proof of the Brown-Douglas-Fillmore theorem. The book starts with a rapid introduction to the standard preparatory material in basic operator theory taught at the first year graduate level course. To quickly get to the main points of the proof of the theorem, several topics that aid in the understanding of the proof are included in the appendices. These topics serve the purpose of providing familiarity with a large variety of tools used in the proof and adds to the flexibility of reading them independently.