Handbook Of Analytic Operator Theory
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Author |
: Kehe Zhu |
Publisher |
: CRC Press |
Total Pages |
: 275 |
Release |
: 2019-05-10 |
ISBN-10 |
: 9781351045537 |
ISBN-13 |
: 1351045539 |
Rating |
: 4/5 (37 Downloads) |
Synopsis Handbook of Analytic Operator Theory by : Kehe Zhu
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
Author |
: J. William Helton |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 152 |
Release |
: 1987 |
ISBN-10 |
: 9780821807187 |
ISBN-13 |
: 0821807188 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Operator Theory, Analytic Functions, Matrices, and Electrical Engineering by : J. William Helton
Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.
Author |
: Kehe Zhu |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 368 |
Release |
: 2007 |
ISBN-10 |
: 9780821839652 |
ISBN-13 |
: 0821839659 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Operator Theory in Function Spaces by : Kehe Zhu
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.
Author |
: Carl C. Cowen, Jr. |
Publisher |
: Routledge |
Total Pages |
: 401 |
Release |
: 2019-03-04 |
ISBN-10 |
: 9781351459143 |
ISBN-13 |
: 1351459147 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Composition Operators on Spaces of Analytic Functions by : Carl C. Cowen, Jr.
The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
Author |
: Marvin Rosenblum |
Publisher |
: Courier Corporation |
Total Pages |
: 204 |
Release |
: 1997-01-01 |
ISBN-10 |
: 0486695360 |
ISBN-13 |
: 9780486695365 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Hardy Classes and Operator Theory by : Marvin Rosenblum
Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.
Author |
: Joseph A. Ball |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 624 |
Release |
: 2011-02-09 |
ISBN-10 |
: 9783034601580 |
ISBN-13 |
: 3034601581 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Topics in Operator Theory by : Joseph A. Ball
This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Author |
: Alexandru Aleman |
Publisher |
: Springer |
Total Pages |
: 283 |
Release |
: 2019-05-30 |
ISBN-10 |
: 9783030146405 |
ISBN-13 |
: 3030146405 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Analysis of Operators on Function Spaces by : Alexandru Aleman
This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in the summer of 2018. The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in one or several variables. The expository articles reflecting the current status of several well-established and very dynamical areas of research will be accessible and useful to advanced graduate students and young researchers in pure and applied mathematics, and also to engineers and physicists using complex analysis methods in their investigations.
Author |
: Daoxing Xia |
Publisher |
: World Scientific |
Total Pages |
: 226 |
Release |
: 2014-12-18 |
ISBN-10 |
: 9789814641357 |
ISBN-13 |
: 9814641359 |
Rating |
: 4/5 (57 Downloads) |
Synopsis Analytic Theory Of Subnormal Operators by : Daoxing Xia
This volume contains an important progress on the theory of subnormal operators in the past thirty years, which was developed by the author and his collaborators. It serves as a guide and basis to students and researchers on understanding and exploring further this new direction in operator theory. The volume expounds lucidly on analytic model theory, mosaics, trace formulas of the subnormal operators, and subnormal tuples of operators on the Hilbert spaces.
Author |
: Ernst Albrecht |
Publisher |
: Springer Nature |
Total Pages |
: 893 |
Release |
: 2024-01-22 |
ISBN-10 |
: 9783031505355 |
ISBN-13 |
: 3031505352 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Multivariable Operator Theory by : Ernst Albrecht
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.
Author |
: M. Amélia Bastos |
Publisher |
: Springer Nature |
Total Pages |
: 654 |
Release |
: 2021-03-31 |
ISBN-10 |
: 9783030519452 |
ISBN-13 |
: 3030519457 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Operator Theory, Functional Analysis and Applications by : M. Amélia Bastos
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.