Commutative Algebras Of Toeplitz Operators On The Bergman Space

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Commutative Algebras of Toeplitz Operators on the Bergman Space

Author : Nikolai Vasilevski
Publisher : Springer Science & Business Media
ISBN 13 : 3764387262
Total Pages : 436 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Commutative Algebras of Toeplitz Operators on the Bergman Space by : Nikolai Vasilevski

Download or read book Commutative Algebras of Toeplitz Operators on the Bergman Space written by Nikolai Vasilevski and published by Springer Science & Business Media. This book was released on 2008-11-20 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Operator Algebras, Toeplitz Operators and Related Topics

Author : Wolfram Bauer
Publisher : Springer Nature
ISBN 13 : 3030446514
Total Pages : 467 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Operator Algebras, Toeplitz Operators and Related Topics by : Wolfram Bauer

Download or read book Operator Algebras, Toeplitz Operators and Related Topics written by Wolfram Bauer and published by Springer Nature. This book was released on 2020-09-01 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multiplication Operators on the Bergman Space

Author : Kunyu Guo
Publisher : Springer
ISBN 13 : 366246845X
Total Pages : 327 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Multiplication Operators on the Bergman Space by : Kunyu Guo

Download or read book Multiplication Operators on the Bergman Space written by Kunyu Guo and published by Springer. This book was released on 2015-06-23 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Toeplitz Operators and Index Theory in Several Complex Variables

Author : Harald Upmeier
Publisher : Birkhäuser
ISBN 13 : 3034892462
Total Pages : 495 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Toeplitz Operators and Index Theory in Several Complex Variables by : Harald Upmeier

Download or read book Toeplitz Operators and Index Theory in Several Complex Variables written by Harald Upmeier and published by Birkhäuser. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.

Recent Trends in Operator Theory and Partial Differential Equations

Author : Vladimir Maz'ya
Publisher : Birkhäuser
ISBN 13 : 3319470795
Total Pages : 313 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Recent Trends in Operator Theory and Partial Differential Equations by : Vladimir Maz'ya

Download or read book Recent Trends in Operator Theory and Partial Differential Equations written by Vladimir Maz'ya and published by Birkhäuser. This book was released on 2017-02-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.

Recent Trends in Toeplitz and Pseudodifferential Operators

Author : Roland V. Duduchava
Publisher : Springer Science & Business Media
ISBN 13 : 303460548X
Total Pages : 275 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Recent Trends in Toeplitz and Pseudodifferential Operators by : Roland V. Duduchava

Download or read book Recent Trends in Toeplitz and Pseudodifferential Operators written by Roland V. Duduchava and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.

Commutants of Toeplitz Operators on the Bergman Space

Author : Zĕljko Cŭckŏvić
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Commutants of Toeplitz Operators on the Bergman Space by : Zĕljko Cŭckŏvić

Download or read book Commutants of Toeplitz Operators on the Bergman Space written by Zĕljko Cŭckŏvić and published by . This book was released on 1991 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Toeplitz Operators on Bergman Spaces

Author : Xiangfei Zeng
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Toeplitz Operators on Bergman Spaces by : Xiangfei Zeng

Download or read book Toeplitz Operators on Bergman Spaces written by Xiangfei Zeng and published by . This book was released on 1992 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multivariable Operator Theory

Author : Ernst Albrecht
Publisher : Springer Nature
ISBN 13 : 3031505352
Total Pages : 893 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Multivariable Operator Theory by : Ernst Albrecht

Download or read book Multivariable Operator Theory written by Ernst Albrecht and published by Springer Nature. This book was released on 2024-01-22 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Norm Inequalities and Related Topics

Author : Richard M. Aron
Publisher : Springer Nature
ISBN 13 : 3031021045
Total Pages : 822 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Operator and Norm Inequalities and Related Topics by : Richard M. Aron

Download or read book Operator and Norm Inequalities and Related Topics written by Richard M. Aron and published by Springer Nature. This book was released on 2022-08-10 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development. A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given. The chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.

Non-commutative Geometry in Mathematics and Physics

Author : Giuseppe Dito
Publisher : American Mathematical Soc.
ISBN 13 : 0821841475
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Non-commutative Geometry in Mathematics and Physics by : Giuseppe Dito

Download or read book Non-commutative Geometry in Mathematics and Physics written by Giuseppe Dito and published by American Mathematical Soc.. This book was released on 2008 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the proceedings of the conference on Topics in Deformation Quantization and Non-Commutative Structures held in Mexico City in September 2005. It contains survey papers and original contributions by various experts in the fields of deformation quantization and non-commutative derived algebraic geometry in the interface between mathematics and physics.It also contains an article based on the XI Memorial Lectures given by M. Kontsevich, which were delivered as part of the conference.This is an excellent introductory volume for readers interested in learning about quantization as deformation, Hopf algebras, and Hodge structures in the framework of non-commutative algebraic geometry.

The Bilateral Bergman Shift

Author : Gregory T. Adams
Publisher : American Mathematical Soc.
ISBN 13 : 0821824171
Total Pages : 89 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Bilateral Bergman Shift by : Gregory T. Adams

Download or read book The Bilateral Bergman Shift written by Gregory T. Adams and published by American Mathematical Soc.. This book was released on 1986 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: For several years quite a deal of attention has been paid to the study of Bergman Toeplitz operators. This paper considers another type of operator.

Toeplitz Operators on the Hardy and Bergman Spaces

Author : Trieu Long Le
Publisher :
ISBN 13 : 9787205013677
Total Pages : 62 pages
Book Rating : 4.0/5 (136 download)

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Book Synopsis Toeplitz Operators on the Hardy and Bergman Spaces by : Trieu Long Le

Download or read book Toeplitz Operators on the Hardy and Bergman Spaces written by Trieu Long Le and published by . This book was released on 2007 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the second part we study the commutator ideal of Toeplitz operators on the Bergman space of the unit ball Bn in Cn . It was proved by Daniel Suarez that in the one-dimensional case, the closed two-sided ideal of the full Toeplitz algebra T (Linfinity) generated by operators of the form TfTg-TgTf, where f, g ∈ Linfinity, coincides with T (Linfinity). With a different approach, we are able to show that for all n ≥ 1, the closed two-sided ideal of T (Linfinity) generated by operators of the above form, where f, g are required to be continuous in Bn or vanish almost everywhere in Bn\E where E is a nowhere dense set, is also all of T (Linfinity).

Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation

Author : Manuel Cepedello Boiso
Publisher : Springer Science & Business Media
ISBN 13 : 3034806485
Total Pages : 546 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation by : Manuel Cepedello Boiso

Download or read book Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation written by Manuel Cepedello Boiso and published by Springer Science & Business Media. This book was released on 2013-11-04 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory.

Operator Theory in Function Spaces

Author : Kehe Zhu
Publisher : American Mathematical Soc.
ISBN 13 : 0821839659
Total Pages : 368 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Theory in Function Spaces by : Kehe Zhu

Download or read book Operator Theory in Function Spaces written by Kehe Zhu and published by American Mathematical Soc.. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Operator Theory, Analysis and the State Space Approach

Author : Harm Bart
Publisher : Springer
ISBN 13 : 3030042693
Total Pages : 464 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Operator Theory, Analysis and the State Space Approach by : Harm Bart

Download or read book Operator Theory, Analysis and the State Space Approach written by Harm Bart and published by Springer. This book was released on 2018-12-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.

A Panorama of Modern Operator Theory and Related Topics

Author : Harry Dym
Publisher : Springer Science & Business Media
ISBN 13 : 3034802218
Total Pages : 635 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis A Panorama of Modern Operator Theory and Related Topics by : Harry Dym

Download or read book A Panorama of Modern Operator Theory and Related Topics written by Harry Dym and published by Springer Science & Business Media. This book was released on 2012-02-01 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.