Advances In Invariant Subspaces And Other Results Of Operator Theory

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Advances in Invariant Subspaces and Other Results of Operator Theory

Author : Arsene
Publisher : Birkhäuser
ISBN 13 : 303487698X
Total Pages : 369 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Advances in Invariant Subspaces and Other Results of Operator Theory by : Arsene

Download or read book Advances in Invariant Subspaces and Other Results of Operator Theory written by Arsene and published by Birkhäuser. This book was released on 2013-11-11 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Invariant Subspaces and Other Results of Operator Theory

Author : Grigore Arsene
Publisher : Birkhauser
ISBN 13 : 9780817617639
Total Pages : 376 pages
Book Rating : 4.6/5 (176 download)

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Book Synopsis Advances in Invariant Subspaces and Other Results of Operator Theory by : Grigore Arsene

Download or read book Advances in Invariant Subspaces and Other Results of Operator Theory written by Grigore Arsene and published by Birkhauser. This book was released on 1986-04-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Invariant Subspaces and Other Results of Operator Theory

Author : Grigore Arsene
Publisher :
ISBN 13 :
Total Pages : 375 pages
Book Rating : 4.:/5 (132 download)

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Book Synopsis Advances in Invariant Subspaces and Other Results of Operator Theory by : Grigore Arsene

Download or read book Advances in Invariant Subspaces and Other Results of Operator Theory written by Grigore Arsene and published by . This book was released on 1986 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Invariant Subspaces and Other Topics

Author : Apostol
Publisher : Birkhäuser
ISBN 13 : 3034854455
Total Pages : 222 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Invariant Subspaces and Other Topics by : Apostol

Download or read book Invariant Subspaces and Other Topics written by Apostol and published by Birkhäuser. This book was released on 2013-11-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The annual Operator Theory conferences in Timigoara are conceived as a means to promote cooperation and exchange of in formation between specialists in all areas of Operator Theory. The present volume consist of papers contributed by the partici pants of the 1981 Conference. Since many of these papers contain results on the invariant subspace problem or are related to the role of invariant subspaces in the study of operators or operator systems, we thought it appropiate to mention this in the title of the volume, though the "other topics" have a wide range. As in past years, special sessions concerning other fields of Functio nal Analysis were organized at the 1981 Conference, but contri butions to these sessions are not included in the present volume. The research contracts of the Department of Mathematics of INCREST with the National Council for Sciences and Technology of Romaliia provided the means for developping the research activity in Functional Analysis; these contracts constitute the generous framework for these meetings. We want also to acknowledge the support of INCREST and the excelent organizing job done by our host - University of Timigoa ra-. Professor Dumitru Gagpar and Professor Mircea Reghig are among those people in Timigoara who contributed in an essential way to the success of the meeting.

Introduction to Operator Theory and Invariant Subspaces

Author : B. Beauzamy
Publisher : Elsevier
ISBN 13 : 0080960898
Total Pages : 373 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Introduction to Operator Theory and Invariant Subspaces by : B. Beauzamy

Download or read book Introduction to Operator Theory and Invariant Subspaces written by B. Beauzamy and published by Elsevier. This book was released on 1988-10-01 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Structured Operator Theory and Related Areas

Author : Marinus A. Kaashoek
Publisher : Springer Science & Business Media
ISBN 13 : 3034806396
Total Pages : 258 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Advances in Structured Operator Theory and Related Areas by : Marinus A. Kaashoek

Download or read book Advances in Structured Operator Theory and Related Areas written by Marinus A. Kaashoek and published by Springer Science & Business Media. This book was released on 2013-08-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material and Lerer's list of publications complete the volume.

An Introduction to Models and Decompositions in Operator Theory

Author : Carlos S. Kubrusly
Publisher : Springer Science & Business Media
ISBN 13 : 9780817639921
Total Pages : 152 pages
Book Rating : 4.6/5 (399 download)

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Book Synopsis An Introduction to Models and Decompositions in Operator Theory by : Carlos S. Kubrusly

Download or read book An Introduction to Models and Decompositions in Operator Theory written by Carlos S. Kubrusly and published by Springer Science & Business Media. This book was released on 1997-08-19 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: By a Hilbert-space operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbert-space operators have been very active research topics in operator theory over the past three decades. The main motivation behind them is the in variant subspace problem: does every Hilbert-space operator have a nontrivial invariant subspace? This is perhaps the most celebrated open question in op erator theory. Its relevance is easy to explain: normal operators have invariant subspaces (witness: the Spectral Theorem), as well as operators on finite dimensional Hilbert spaces (witness: canonical Jordan form). If one agrees that each of these (i. e. the Spectral Theorem and canonical Jordan form) is important enough an achievement to dismiss any further justification, then the search for nontrivial invariant subspaces is a natural one; and a recalcitrant one at that. Subnormal operators have nontrivial invariant subspaces (extending the normal branch), as well as compact operators (extending the finite-dimensional branch), but the question remains unanswered even for equally simple (i. e. simple to define) particular classes of Hilbert-space operators (examples: hyponormal and quasinilpotent operators). Yet the invariant subspace quest has certainly not been a failure at all, even though far from being settled. The search for nontrivial invariant subspaces has undoubtly yielded a lot of nice results in operator theory, among them, those concerning decompositions and models for Hilbert-space operators. This book contains nine chapters.

Invariant Subspaces

Author : Heydar Radjavi
Publisher : Springer Science & Business Media
ISBN 13 : 3642655742
Total Pages : 231 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Invariant Subspaces by : Heydar Radjavi

Download or read book Invariant Subspaces written by Heydar Radjavi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematical Legacy of Victor Lomonosov

Author : Richard M. Aron
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311065346X
Total Pages : 397 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis The Mathematical Legacy of Victor Lomonosov by : Richard M. Aron

Download or read book The Mathematical Legacy of Victor Lomonosov written by Richard M. Aron and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-08-10 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental contributions made by the late Victor Lomonosov in several areas of analysis are revisited in this book, in particular, by presenting new results and future directions from world-recognized specialists in the field. The invariant subspace problem, Burnside's theorem, and the Bishop-Phelps theorem are discussed in detail. This volume is an essential reference to both researchers and graduate students in mathematical analysis.

Isometries in Banach Spaces

Author : Richard J. Fleming
Publisher : CRC Press
ISBN 13 : 1420010204
Total Pages : 245 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Isometries in Banach Spaces by : Richard J. Fleming

Download or read book Isometries in Banach Spaces written by Richard J. Fleming and published by CRC Press. This book was released on 2007-11-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.

Modern Approaches to the Invariant-Subspace Problem

Author : Isabelle Chalendar
Publisher : Cambridge University Press
ISBN 13 : 1139503294
Total Pages : 298 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Modern Approaches to the Invariant-Subspace Problem by : Isabelle Chalendar

Download or read book Modern Approaches to the Invariant-Subspace Problem written by Isabelle Chalendar and published by Cambridge University Press. This book was released on 2011-08-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics.

The Commutant Lifting Approach to Interpolation Problems

Author : Foias
Publisher : Birkhäuser
ISBN 13 : 3034877129
Total Pages : 647 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Commutant Lifting Approach to Interpolation Problems by : Foias

Download or read book The Commutant Lifting Approach to Interpolation Problems written by Foias and published by Birkhäuser. This book was released on 2013-11-11 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical H interpolation theory was conceived at the beginning of the century by C. Caratheodory, L. Fejer and I. Schur. The basic method, due to Schur, in solving these problems consists in applying the Mobius transform to peel off the data. In 1967, D. Sarason encompassed these classical interpolation problems in a representation theorem of operators commuting with special contractions. Shortly after that, in 1968, B. Sz. Nagy and C. Foias obtained a purely geometrical extension of Sarason's results. Actually, their result states that operators intertwining restrictions of co-isometries can be extended, by preserving their norm, to operators intertwining these co-isometries; starring with R. G. Douglas, P. S. Muhly and C. Pearcy, this is referred to as the commutant lifting theorem. In 1957, Z. Nehari considered an L interpolation problern which in turn encompassed the same classical interpolation problems, as well as the computation of the distance of a function f in L to H . At about the sametime as Sarason's work, V. M."

$C^*$-Algebras: 1943-1993

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821851756
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis $C^*$-Algebras: 1943-1993 by :

Download or read book $C^*$-Algebras: 1943-1993 written by and published by American Mathematical Soc.. This book was released on 1994 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras

Author : Theodore W. Palmer
Publisher : Cambridge University Press
ISBN 13 : 9780521366373
Total Pages : 820 pages
Book Rating : 4.3/5 (663 download)

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Book Synopsis Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras by : Theodore W. Palmer

Download or read book Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994-03-25 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.

Canadian Journal of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4./5 ( download)

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Book Synopsis Canadian Journal of Mathematics by :

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1996-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Roumaine de Mathématiques Pures Et Appliquées

Author :
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Revue Roumaine de Mathématiques Pures Et Appliquées by :

Download or read book Revue Roumaine de Mathématiques Pures Et Appliquées written by and published by . This book was released on 1990 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Invitation to Operator Theory

Author : Yuri A. Abramovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821821466
Total Pages : 546 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis An Invitation to Operator Theory by : Yuri A. Abramovich

Download or read book An Invitation to Operator Theory written by Yuri A. Abramovich and published by American Mathematical Soc.. This book was released on 2002 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive and reader-friendly exposition of the theory of linear operators on Banach spaces and Banach lattices using their topological and order structures and properties. Abramovich and Aliprantis give a unique presentation that includes many new and very recent developments in operator theory and also draws together results which are spread over the vast literature. For instance, invariant subspaces of positive operators and the Daugavet equation arepresented in monograph form for the first time. The authors keep the discussion self-contained and use exercises to achieve this goal. The book contains over 600 exercises to help students master the material developed in the text. The exercises are of varying degrees of difficulty and play an importantand useful role in the exposition. They help to free the proofs of the main results of some technical details but provide students with accurate and complete accounts of how such details ought to be worked out. The exercises also contain a considerable amount of additional material that includes many well-known results whose proofs are not readily available elsewhere. The companion volume, Problems in Operator Theory, also by Abramovich and Aliprantis, is available from the AMS as Volume 51 inthe Graduate Studies in Mathematics series, and it contains complete solutions to all exercises in An Invitation to Operator Theory. The solutions demonstrate explicitly technical details in the proofs of many results in operator theory, providing the reader with rigorous and complete accounts ofsuch details. Finally, the book offers a considerable amount of additional material and further developments. By adding extra material to many exercises, the authors have managed to keep the presentation as self-contained as possible. The best way of learning mathematics is by doing mathematics, and the book Problems in Operator Theory will help achieve this goal. Prerequisites to each book are the standard introductory graduate courses in real analysis, general topology, measure theory, andfunctional analysis. An Invitation to Operator Theory is suitable for graduate or advanced courses in operator theory, real analysis, integration theory, measure theory, function theory, and functional analysis. Problems in Operator Theory is a very useful supplementary text in the above areas. Bothbooks will be of great interest to researchers and students in mathematics, as well as in physics, economics, finance, engineering, and other related areas, and will make an indispensable reference tool.