Invariant Subspaces Of The Shift Operator
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Invariant Subspaces
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Author : Heydar Radjavi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Invariant Subspaces written by Heydar Radjavi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In recent years there has been a large amount of work on invariant subspaces, motivated by interest in the structure of non-self-adjoint of the results have been obtained in operators on Hilbert space. Some the context of certain general studies: the theory of the characteristic operator function, initiated by Livsic; the study of triangular models by Brodskii and co-workers; and the unitary dilation theory of Sz. Nagy and Foia!? Other theorems have proofs and interest independent of any particular structure theory. Since the leading workers in each of the structure theories have written excellent expositions of their work, (cf. Sz.-Nagy-Foia!? [1], Brodskii [1], and Gohberg-Krein [1], [2]), in this book we have concentrated on results independent of these theories. We hope that we have given a reasonably complete survey of such results and suggest that readers consult the above references for additional information. The table of contents indicates the material covered. We have restricted ourselves to operators on separable Hilbert space, in spite of the fact that most of the theorems are valid in all Hilbert spaces and many hold in Banach spaces as well. We felt that this restriction was sensible since it eases the exposition and since the separable-Hilbert space case of each of the theorems is generally the most interesting and potentially the most useful case.
Treatise On The Shift Operator
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Author : N.K. Nikol'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Treatise On The Shift Operator written by N.K. Nikol'skii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is an elementary introduction to non-classical spectral theory. Mter the basic definitions and a reduction to the study of the functional model the discussion will be centered around the simplest variant of such a model which, formally speaking, comprises only the class of contraction operators with a one dimensional rank of non-unitarity (rank(I - T*T) = rank(I - TT*) = 1). The main emphasis is on the technical side of the subject, the book being mostly devoted to a development of the analytical machinery of spectral theory rather than to this discipline itself. The functional model of Sz. -Nagy and Foia§ re duces the study of general operators to an investigation of the . compression T=PSIK of the shift operator S, Sf = zf, onto coinvariant subspaces (i. e. subspaces in variant with respect to the adjoint shift S*). In the main body of the book (the "Lectures" in the proper meaning of the word) this operator acts on the Hardy space H2 and is itself a part of the operator of multiplication by the independent variable in the space L2 (in the case at hand L2 means L2(lf), If being the unit circle), this operator again being fundamental for classical spectral theory.
Invariant Subspaces
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Author : Heydar Radjavi
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30
Invariant Subspaces written by Heydar Radjavi and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
Broad survey focuses on operators on separable Hilbert spaces. Topics include normal operators, analytic functions of operators, shift operators, invariant subspace lattices, compact operators, invariant and hyperinvariant subspaces, more. 1973 edition.
Topics In Operator Theory
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Author : Carl M. Pearcy
language : en
Publisher: American Mathematical Soc.
Release Date : 1974-12-31
Topics In Operator Theory written by Carl M. Pearcy and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-12-31 with Mathematics categories.
Deals with various aspects of the theory of bounded linear operators on Hilbert space. This book offers information on weighted shift operators with scalar weights.
Invariant Subspaces Of The Shift Operator In The D Alpha Spaces
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Author : Shadrach Nshanji Kwalar
language : en
Publisher:
Release Date : 1985
Invariant Subspaces Of The Shift Operator In The D Alpha Spaces written by Shadrach Nshanji Kwalar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Generalized Analytic Continuation
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Author : William T. Ross
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Generalized Analytic Continuation written by William T. Ross and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. The authors use the strong analogy with the summability of divergent series to motivate the subject. They are careful to cover the various types of continuations, attempting to unify them and suggesting some open questions. The book also addresses the role of such continuations in approximation theory and operator theory. The introductory overview provides a useful look at the history and context of the theory.
The Backward Shift On The Hardy Space
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Author : Joseph A. Cima
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
The Backward Shift On The Hardy Space written by Joseph A. Cima and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Shift operators on Hilbert spaces of analytic functions play an important role in the study of bounded linear operators on Hilbert spaces since they often serve as models for various classes of linear operators. For example, "parts" of direct sums of the backward shift operator on the classical Hardy space H2 model certain types of contraction operators and potentially have connections to understanding the invariant subspaces of a general linear operator. This book is a thorough treatment of the characterization of the backward shift invariant subspaces of the well-known Hardy spaces H{p}. The characterization of the backward shift invariant subspaces of H{p} for 1
Invariant Subspaces Of Matrices With Applications
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Author : Israel Gohberg
language : en
Publisher: SIAM
Release Date : 2006-03-01
Invariant Subspaces Of Matrices With Applications written by Israel Gohberg and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-01 with Mathematics categories.
This unique book addresses advanced linear algebra using invariant subspaces as the central notion and main tool. It comprehensively covers geometrical, algebraic, topological, and analytic properties of invariant subspaces, laying clear mathematical foundations for linear systems theory with a thorough treatment of analytic perturbation theory for matrix functions.
Invariant Subspaces Of The Shift Operator
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Author : Javad Mashreghi
language : en
Publisher:
Release Date : 2015
Invariant Subspaces Of The Shift Operator written by Javad Mashreghi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Banach spaces categories.
Invariant Subspaces Of The Shift Operator
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Author : Javad Mashreghi
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-04-23
Invariant Subspaces Of The Shift Operator written by Javad Mashreghi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-23 with Mathematics categories.
This volume contains the proceedings of the CRM Workshop on Invariant Subspaces of the Shift Operator, held August 26-30, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. The main theme of this volume is the invariant subspaces of the shift operator (or its adjoint) on certain function spaces, in particular, the Hardy space, Dirichlet space, and de Branges-Rovnyak spaces. These spaces, and the action of the shift operator on them, have turned out to be a precious tool in various questions in analysis such as function theory (Bieberbach conjecture, rigid functions, Schwarz-Pick inequalities), operator theory (invariant subspace problem, composition operator), and systems and control theory. Of particular interest is the Dirichlet space, which is one of the classical Hilbert spaces of holomorphic functions on the unit disk. From many points of view, the Dirichlet space is an interesting and challenging example of a function space. Though much is known about it, several important open problems remain, most notably the characterization of its zero sets and of its shift-invariant subspaces. This book is co-published with the Centre de Recherches Mathématiques.