Download or read book Unitary Dilations of Hilbert Space Operators and Related Topics written by Béla Szőkefalvi-Nagy and published by American Mathematical Soc.. This book was released on 1974-01-01 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unitary Dilations of Hilbert Space Operators and Related Topics written by B. Sz.-Nagy and published by . This book was released on 1974 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book UNITARY DILATIONS OF HILBERT SPACE OPERATORS AND RELATED TOPICS EXPOSITORY LECTURES FROM A REGIONAL CONFERENCE OF THE CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES REGIONAL CONFERENCE SERIES IN MATHEMATICS written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unitary Dilatations of Hilbert Space Operators and Related Topics written by Béla Szőkefalvi-Nagy and published by . This book was released on 1974 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Harmonic Analysis of Operators on Hilbert Space written by Béla Sz Nagy and published by Springer Science & Business Media. This book was released on 2010-09-01 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Unitary Dilations of Operators in Hilbert Space written by Morris Schreiber and published by . This book was released on 1955 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Commutation Properties of Hilbert Space Operators and Related Topics written by Calvin R. Putnam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica tions of the results obtained are made to quantum mechanics, perturba tion theory, Laurent and Toeplitz operators, singular integral trans formations, and Jacobi matrices.
Download or read book Harmonic Analysis of Operators on Hilbert Space written by B. La Sz -Nagy and published by . This book was released on 2011-02-18 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Commuting Nonselfadjoint Operators in Hilbert Space written by Moshe S. Livsic and published by Springer. This book was released on 2006-11-15 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classification of commuting non-selfadjoint operators is one of the most challenging problems in operator theory even in the finite-dimensional case. The spectral analysis of dissipative operators has led to a series of deep results in the framework of unitary dilations and characteristic operator functions. It has turned out that the theory has to be based on analytic functions on algebraic manifolds and not on functions of several independent variables as was previously believed. This follows from the generalized Cayley-Hamilton Theorem, due to M.S.Livsic: "Two commuting operators with finite dimensional imaginary parts are connected in the generic case, by a certain algebraic equation whose degree does not exceed the dimension of the sum of the ranges of imaginary parts." Such investigations have been carried out in two directions. One of them, presented by L.L.Waksman, is related to semigroups of projections of multiplication operators on Riemann surfaces. Another direction, which is presented here by M.S.Livsic is based on operator colligations and collective motions of systems. Every given wave equation can be obtained as an external manifestation of collective motions. The algebraic equation mentioned above is the corresponding dispersion law of the input-output waves.
Download or read book Topics in Operator Theory written by Carl M. Pearcy and published by American Mathematical Soc.. This book was released on 1974-12-31 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Some Recent Developments in Operator Theory written by Carl M. Pearcy and published by American Mathematical Soc.. This book was released on 1978 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys some of the remarkable developments that have taken place in operator theory over the years. This monograph is largely expository and should be accessible to those who have had a course in functional analysis and operator theory.
Download or read book Operators Functions and Systems Model operators and systems written by Nikolaĭ Kapitonovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 2002 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overall, this work combines together - in two volumes - four formally distinct topics of modern analysis and their applications: Hardy classes of holomorphic functions; spectral theory of Hankel and Toeplitz operators; function models for linear operators and free interpolations; and infinite-dimensional system theory and signal processing. This, the second volume, contains parts C and D of the whole.
Download or read book Equivariant Homotopy and Cohomology Theory written by J. Peter May and published by American Mathematical Soc.. This book was released on 1996 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.
Download or read book Introduction to Some Methods of Algebraic K Theory written by Hyman Bass and published by American Mathematical Soc.. This book was released on 1974-12-31 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Operator Extensions Interpolation of Functions and Related Topics written by A. Gheondea and published by Birkhäuser. This book was released on 2012-12-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1976 the Institute of Mathematics of the Romanian Academy (formerly the Department of Mathematics of INCREST) and the Faculty of Mathematics (formerly the Faculty of Sciences) of the University ofTimi~oara have organized several Con ferences on Operator Theory. These Conferences were held yearly in Timi~oara (or in Timi~oara and Herculane) and beginning with 1985 they were held in Bucharest (1985,1986), in Timi~oara (1988) and in Predeal (1990). At the beginning, these Conferences answered the need of a part of the Romanian Mathematical Community ofexploring other forms of survival, after the dissolution of the Institute of Mathematics in 1975. Soon, these meetings evolved to International Conferences with a broad participation and where important results in Operator Theory and Operator Algebras and their interplay with Complex Function Theory, Differential Equations, Mathematical Physics, System Theory, etc. were presented. The 14th Conference on Operator Theory was held between June 1st and June 5th 1992, at the University ofTimi~oara. It was partially supported by the Institute of Mathematics of the Romanian Academy and by the Faculty of Mathematics of the University ofTimi~oara. Another important contribution towards covering the costs of this meeting came from The Soros Foundation for an Open Society. Without this generous help the organizing of this event would be impossible. Since 1980, the Proceedings of OT Conferences were published by Birkhauser Verlag in the series Operator Theory: Advances and Applications. The abstracts of the talks were collected in the Conference Report, published by the University of Timi~oara.
Download or read book Operator Theory System Theory and Related Topics written by Daniel Alpay and published by Birkhäuser. This book was released on 2012-12-06 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the refereed proceedings of the Conference in Operator The ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In stitute of Science (Rehovot, Israel). The volume contains papers in operator theory and its applications (understood in a very wide sense), many of them reflecting, 1 directly or indirectly, a profound impact of the work of Moshe Livsic. Moshe (Mikhail Samuilovich) Livsic was born on July 4, 1917, in the small town of Pokotilova near Uman, in the province of Kiev in the Ukraine; his family moved to Odessa when he was four years old. In 1933 he enrolled in the Department of Physics and Mathematics at the Odessa State University, where he became a student of M. G. Krein and an active participant in Krein's seminar - one of the centres where the ideas and methods of functional analysis and operator theory were being developed. Besides M. G. Krein, M. S. Livsic was strongly influenced B. Va. Levin, an outstanding specialist in the theory of analytic functions. A by deep understanding of operator theory as well as function theory and a penetrating search of connections between the two, were to become one of the landmarks of M. S. Livsic's work. M. S. Livsic defended his Ph. D.
Download or read book Nonselfadjoint Operator Algebras Operator Theory and Related Topics written by H. Bercovicii and published by Birkhäuser. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to Carl Pearcy on the occasion of his 60th birthday, presents recent results in operator theory, nonselfadjoint operator algebras, measure theory and the theory of moments. The articles on these subjects have been contributed by leading area experts, many of whom were associated with Carl Pearcy as students or collaborators. The book testifies to his multifaceted interests and includes a biographical sketch and a list of publications.
