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Unbounded Weighted Composition Operators In L2 Spaces
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Book Synopsis Unbounded Weighted Composition Operators in L2-Spaces by : Piotr Budzyński
Download or read book Unbounded Weighted Composition Operators in L2-Spaces written by Piotr Budzyński and published by Springer. This book was released on 2018-05-28 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L2-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized. The first-ever criteria for subnormality of unbounded weighted composition operators are provided and the subtle interplay between the classical moment problem, graph theory and the injectivity problem for weighted composition operators is revealed. The relationships between weighted composition operators and the corresponding multiplication and composition operators are investigated. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types. The book is primarily aimed at researchers in single or multivariable operator theory.
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.
Book Synopsis Weighted Shifts on Directed Trees by : Zenon Jan Jablónski
Download or read book Weighted Shifts on Directed Trees written by Zenon Jan Jablónski and published by American Mathematical Soc.. This book was released on 2012 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new class of (not necessarily bounded) operators related to (mainly infinite) directed trees is introduced and investigated. Operators in question are to be considered as a generalization of classical weighted shifts, on the one hand, and of weighted adjacency operators, on the other; they are called weighted shifts on directed trees. The basic properties of such operators, including closedness, adjoints, polar decomposition and moduli are studied. Circularity and the Fredholmness of weighted shifts on directed trees are discussed. The relationships between domains of a weighted shift on a directed tree and its adjoint are described. Hyponormality, cohyponormality, subnormality and complete hyperexpansivity of such operators are entirely characterized in terms of their weights. Related questions that arose during the study of the topic are solved as well.
Book Synopsis Recent Advances in Matrix and Operator Theory by : Joseph A. Ball
Download or read book Recent Advances in Matrix and Operator Theory written by Joseph A. Ball and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the proceedings of the International Workshop on Operator Theory and Its Applications held at the University of Connecticut in July 2005.
Book Synopsis Probability Theory and Mathematical Statistics by : B. Grigelionis
Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".
Book Synopsis Analysis on Fock Spaces by : Kehe Zhu
Download or read book Analysis on Fock Spaces written by Kehe Zhu and published by Springer Science & Business Media. This book was released on 2012-05-26 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms “Hardy spaces” and “Bergman spaces” are by now standard and well established. But the term “Fock spaces” is a different story. Numerous excellent books now exist on the subject of Hardy spaces. Several books about Bergman spaces, including some of the author’s, have also appeared in the past few decades. But there has been no book on the market concerning the Fock spaces. The purpose of this book is to fill that void, especially when many results in the subject are complete by now. This book presents important results and techniques summarized in one place, so that new comers, especially graduate students, have a convenient reference to the subject. This book contains proofs that are new and simpler than the existing ones in the literature. In particular, the book avoids the use of the Heisenberg group, the Fourier transform, and the heat equation. This helps to keep the prerequisites to a minimum. A standard graduate course in each of real analysis, complex analysis, and functional analysis should be sufficient preparation for the reader.
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Analysis on Foliated Spaces by : Calvin C. Moore
Download or read book Global Analysis on Foliated Spaces written by Calvin C. Moore and published by Cambridge University Press. This book was released on 2006 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete proof of Connes' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.
Book Synopsis The Far East Journal of Mathematical Sciences by :
Download or read book The Far East Journal of Mathematical Sciences written by and published by . This book was released on 1993 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Function Spaces by : Krzysztof Jarosz
Download or read book Function Spaces written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2003 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions. The lectures covered a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $Lp$-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and related subjects. Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented.
Book Synopsis Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) by : María Cristina Pereyra
Download or read book Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) written by María Cristina Pereyra and published by Springer. This book was released on 2017-07-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.
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.
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.
Book Synopsis Composition Operators on Spaces of Analytic Functions by : Carl C. Cowen Jr.
Download or read book Composition Operators on Spaces of Analytic Functions written by Carl C. Cowen Jr. and published by Routledge. This book was released on 2019-03-04 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Composition Operators by : Joel H. Shapiro
Download or read book Composition Operators written by Joel H. Shapiro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integra tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this.
Book Synopsis The Theory of H ( b ) Spaces by : Emmanuel Fricain
Download or read book The Theory of H ( b ) Spaces written by Emmanuel Fricain and published by Cambridge University Press. This book was released on 2016-10-20 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.
Book Synopsis The Theory of H(b) Spaces: Volume 2 by : Emmanuel Fricain
Download or read book The Theory of H(b) Spaces: Volume 2 written by Emmanuel Fricain and published by Cambridge University Press. This book was released on 2016-10-20 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.
