Strongly Irreducible Operators On Hilbert Space
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Author | : ChunLan Jiang |
Publisher | : Taylor & Francis |
Total Pages | : 256 |
Release | : 2023-02-15 |
Genre | : Mathematics |
ISBN | : 1351413309 |
Download Strongly Irreducible Operators on Hilbert Space Book in PDF, Epub and Kindle
This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here appears in book form for the first time.
Author | : Chunlan Jiang |
Publisher | : World Scientific |
Total Pages | : 260 |
Release | : 2006-03-01 |
Genre | : Mathematics |
ISBN | : 9814478903 |
Download Structure Of Hilbert Space Operators Book in PDF, Epub and Kindle
This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators. A unique presentation of the theorem of Cowen-Douglas operators is given. The authors take the strongly irreducible operator as a basic model, and find complete similarity invariants of Cowen-Douglas operators by using K-theory, complex geometry and operator algebra tools.
Author | : Chunlan Jiang |
Publisher | : World Scientific |
Total Pages | : 262 |
Release | : 2006 |
Genre | : Science |
ISBN | : 9812566163 |
Download Structure of Hilbert Space Operators Book in PDF, Epub and Kindle
This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators. A unique presentation of the theorem of Cowen-Douglas operators is given. The authors take the strongly irreducible operator as a basic model, and find complete similarity invariants of Cowen-Douglas operators by using K-theory, complex geometry and operator algebra tools.
Author | : Béla Sz Nagy |
Publisher | : Springer Science & Business Media |
Total Pages | : 481 |
Release | : 2010-09-01 |
Genre | : Mathematics |
ISBN | : 1441960937 |
Download Harmonic Analysis of Operators on Hilbert Space Book in PDF, Epub and Kindle
The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory, including the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.
Author | : Carlos S. Kubrusly |
Publisher | : Springer Science & Business Media |
Total Pages | : 162 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461220645 |
Download Hilbert Space Operators Book in PDF, Epub and Kindle
This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results with a wide variety of exercises that range from the straightforward to the state-of-the-art. Complete solutions to all problems are provided. The text covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators. Written in a motivating and rigorous style, the work has few prerequisites beyond elementary functional analysis, and will appeal to graduate students and researchers in mathematics, physics, engineering, and related disciplines.
Author | : Technische Universitaet München. Institut für Mathematik |
Publisher | : |
Total Pages | : 15 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download On the commutant of an irreducible set of operators in real Hilbert space Book in PDF, Epub and Kindle
Author | : Kehe Zhu |
Publisher | : CRC Press |
Total Pages | : 228 |
Release | : 2019-05-10 |
Genre | : Mathematics |
ISBN | : 1351045539 |
Download Handbook of Analytic Operator Theory Book in PDF, Epub and Kindle
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 | : Kurt O. Friedrichs |
Publisher | : Springer Science & Business Media |
Total Pages | : 253 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461263964 |
Download Spectral Theory of Operators in Hilbert Space Book in PDF, Epub and Kindle
The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation.
Author | : Piotr Sołtan |
Publisher | : Springer |
Total Pages | : 200 |
Release | : 2018-09-04 |
Genre | : Mathematics |
ISBN | : 3319920618 |
Download A Primer on Hilbert Space Operators Book in PDF, Epub and Kindle
The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter groups of operators. The exposition of the material on unbounded operators is based on a novel tool, called the z-transform, which provides a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.
Author | : Raul E Curto |
Publisher | : Springer Nature |
Total Pages | : 531 |
Release | : 2020-12-12 |
Genre | : Mathematics |
ISBN | : 3030433803 |
Download Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology Book in PDF, Epub and Kindle
This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.