Dual Algebras With Applications To Invariant Subspaces And Dilation Theory
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Dual Algebras With Applications To Invariant Subspaces And Dilation Theory
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Author : Hari Bercovici
language : en
Publisher:
Release Date : 1985
Dual Algebras With Applications To Invariant Subspaces And Dilation Theory written by Hari Bercovici and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Dilation theory (Operator theory) categories.
The theory of dual algebras (ultraweakly closed algebras of operators on Hilbert space) has made tremendous progress since 1978, when Scott Brown originated some of the main ideas to solve the invariant subspace problem for subnormal operators. The impetus for much of this progress has come from the authors of the present book, who, in a sequence of papers, have added several new ideas concerning the solution of systems of simultaneous equations in the predual of a dual algebra, thereby developing a dilation theory and contributing substantially to the theories of invariant subspaces and refle.
Dual Algebras With Applications To Invariant Subspaces And Dilation Theory
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Author : Hari Bercovici
language : en
Publisher: American Mathematical Soc.
Release Date : 1985-01-01
Dual Algebras With Applications To Invariant Subspaces And Dilation Theory written by Hari Bercovici 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 1985-01-01 with Mathematics categories.
Dual Algebras With Applications To Invariant Subspaces And Dilation Theory
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Author : Hari Bercovici
language : en
Publisher: American Mathematical Soc.
Release Date : 1985
Dual Algebras With Applications To Invariant Subspaces And Dilation Theory written by Hari Bercovici 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 1985 with Mathematics categories.
The theory of dual algebras has made tremendous progress since 1978, when Scott Brown originated some of the main ideas to solve the invariant subspace problem for subnormal operators. This book presents ideas concerning the solution of systems of simultaneous equations in the predual of a dual algebra, thereby developing a dilation theory.
Introduction To Operator Theory And Invariant Subspaces
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Author : B. Beauzamy
language : en
Publisher: Elsevier
Release Date : 1988-10-01
Introduction To Operator Theory And Invariant Subspaces written by B. Beauzamy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-10-01 with Mathematics categories.
This monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis. The book is self-contained, except for a few technical tools, for which precise references are given. Part I starts with finite-dimensional spaces and general spectral theory. But very soon (Chapter III), new material is presented, leading to new directions for research. Open questions are mentioned here. Part II concerns compactness and its applications, not only spectral theory for compact operators (Invariant Subspaces and Lomonossov's Theorem) but also duality between the space of nuclear operators and the space of all operators on a Hilbert space, a result which is seldom presented. Part III contains Algebra Techniques: Gelfand's Theory, and application to Normal Operators. Here again, directions for research are indicated. Part IV deals with analytic functions, and contains a few new developments. A simplified, operator-oriented, version is presented. Part V presents dilations and extensions: Nagy-Foias dilation theory, and the author's work about C1-contractions. Part VI deals with the Invariant Subspace Problem, with positive results and counter-examples. In general, much new material is presented. On the Invariant Subspace Problem, the level of research is reached, both in the positive and negative directions.
Banach Algebras 97
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Author : Ernst Albrecht
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-07
Banach Algebras 97 written by Ernst Albrecht and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-07 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Advances In Invariant Subspaces And Other Results Of Operator Theory
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Author : Arsene
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Advances In Invariant Subspaces And Other Results Of Operator Theory written by Arsene and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
The annual Operator Theory conferences, organized by the Department of Mathematics of INC REST and the University of Timi?oara, are intended to promote cooperation and exchange of information between specialists in all areas of operator theory. This volume consists of papers contributed by the participants of the 1984 Conference. They reflect a great variety of topics, dealt with by the modern operator theory, including very recent advances in the invariant subspace problem, subalgebras of operator algebras, hyponormal, Hankel and other special classes of operators, spectral decompositions, aspects of dilation theory and so on. The research contracts of the Department of Mathematics of INCREST with the National Council for Science and Technology of Romania provided the means for developing the research activity in mathematics; they represent the generous framework of these meetings, too. It is our pleasure to acknowledge the financial support of UNESCO which also contibuted to the success of this meeting. We are indebted to Professor Israel Gohberg for including these Proceedings in the OT Series and for valuable advice in the editing process. Birkhauser Verlag was very cooperative in publishing this volume. Mariana Bota, Camelia Minculescu and Rodica Stoenescu dealt with the difficult task of typing the whole manuscript using a Rank Xerox 860 word processor; we thank them for the excellent job they did.
Bergman Spaces And Related Topics In Complex Analysis
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Author : Alexander A. Borichev
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Bergman Spaces And Related Topics In Complex Analysis written by Alexander A. Borichev 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 2006 with Mathematics categories.
This volume grew out of a conference in honor of Boris Korenblum on the occasion of his 80th birthday, held in Barcelona, Spain, November 20-22, 2003. The book is of interest to researchers and graduate students working in the theory of spaces of analytic function, and, in particular, in the theory of Bergman spaces.
Introduction To Banach Algebras Operators And Harmonic Analysis
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Author : H. Garth Dales
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-13
Introduction To Banach Algebras Operators And Harmonic Analysis written by H. Garth Dales and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-13 with Mathematics categories.
Table of contents
Analysis And Applications
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Author : H. P. Dikshit
language : en
Publisher: CRC Press
Release Date : 2003-01-29
Analysis And Applications written by H. P. Dikshit and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-29 with Mathematics categories.
Analysis and its applications have been major areas for research in mathematics and allied fields. The fast growing power of computation has made a significant and useful impact in these areas. This has lead to computational analysis and the emergence of fields like Bezier-Bernstein methods for computer-aided geometric design, constructive approximation and wavelets, and even computational harmonic analysis. Analysis and Applications consists of research articles, including a few survey articles, by eminent mathematicians projecting trends in constructive and computational approximation, summability theory, optimal control and theory and applications of function spaces and wavelets.
Operator Algebras And Their Modules
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Author : David P. Blecher
language : en
Publisher: Oxford University Press
Release Date : 2004-10-07
Operator Algebras And Their Modules written by David P. Blecher and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-07 with Mathematics categories.
This invaluable reference is the first to present the general theory of algebras of operators on a Hilbert space, and the modules over such algebras. The new theory of operator spaces is presented early on and the text assembles the basic concepts, theory and methodologies needed to equip a beginning researcher in this area. A major trend in modern mathematics, inspired largely by physics, is toward `noncommutative' or `quantized' phenomena. In functional analysis, this has appeared notably under the name of `operator spaces', which is a variant of Banach spaces which is particularly appropriate for solving problems concerning spaces or algebras of operators on Hilbert space arising in 'noncommutative mathematics'. The category of operator spaces includes operator algebras, selfadjoint (that is, C*-algebras) or otherwise. Also, most of the important modules over operator algebras are operator spaces. A common treatment of the subjects of C*-algebras, nonselfadjoint operator algebras, and modules over such algebras (such as Hilbert C*-modules), together under the umbrella of operator space theory, is the main topic of the book. A general theory of operator algebras, and their modules, naturally develops out of the operator space methodology. Indeed, operator space theory is a sensitive enough medium to reflect accurately many important noncommutative phenomena. Using recent advances in the field, the book shows how the underlying operator space structure captures, very precisely, the profound relations between the algebraic and the functional analytic structures involved. The rich interplay between spectral theory, operator theory, C*-algebra and von Neumann algebra techniques, and the influx of important ideas from related disciplines, such as pure algebra, Banach space theory, Banach algebras, and abstract function theory is highlighted. Each chapter ends with a lengthy section of notes containing a wealth of additional information.