Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Communication Properties Of Hilbert Space Operators And Related Topics full books in PDF, epub, and Kindle. Read online Communication Properties Of Hilbert Space Operators And Related Topics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Calvin Richard Putnam
Publisher :
ISBN 13 :
Total Pages : 167 pages
Book Rating : 4.:/5 (974 download)
Download or read book Communication Properties of Hilbert Space Operators, and Related Topics written by Calvin Richard Putnam and published by . This book was released on 1967 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Calvin R. Putnam
Publisher : Springer Science & Business Media
ISBN 13 : 3642859380
Total Pages : 177 pages
Book Rating : 4.6/5 (428 download)
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.
Author : C. R. Putnam
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (499 download)
Download or read book Commutation properties of Hilbert space operators and related topics written by C. R. Putnam and published by . This book was released on 1967 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. R. Putnam
Publisher :
ISBN 13 :
Total Pages : 167 pages
Book Rating : 4.:/5 (878 download)
Download or read book Commutation Properties of Hilbert Space Operators and Related Topics written by C. R. Putnam and published by . This book was released on 1967 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (99 download)
Download or read book Commutation Properties of Hilbert Space Operators written by and published by . This book was released on 1965 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlos S. Kubrusly
Publisher : Springer Science & Business Media
ISBN 13 : 1461220645
Total Pages : 162 pages
Book Rating : 4.4/5 (612 download)
Download or read book Hilbert Space Operators written by Carlos S. Kubrusly and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Béla Szőkefalvi-Nagy
Publisher : American Mathematical Soc.
ISBN 13 : 9780821888674
Total Pages : 66 pages
Book Rating : 4.8/5 (886 download)
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:
Author : Fazlollah M. Reza
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Exposition of Hilbert Space and Linear Operators for Engineers and Scientists written by Fazlollah M. Reza and published by . This book was released on 1968 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vast and rapid advancement in telecommunications, computers, controls, and aerospace science has necessitated major changes in our basic understanding of the theory of electrical signals and processing systems. There is strong evidence that today's engineer needs to extend and to modernize his analytical techniques. The latest fundamental analytical approach for the study of signals and systems seems to have its roots in the mathematics of Functional Analysis. This report contains a bird's-eye view of the elements of Hilbert spaces and their associated linear operators. The first chapter of the report gives an exposition of the most essential properties of Hilbert spaces. The second chapter presents the elements of linear operators acting on such spaces. The report is addressed to engineers and scientists interested in the theory of signals and systems. The applications of the theory will be undertaken in a separate report. (Author).
Author : Harkrishan Lal Vasudeva
Publisher : Springer
ISBN 13 : 9811030200
Total Pages : 528 pages
Book Rating : 4.8/5 (11 download)
Download or read book Elements of Hilbert Spaces and Operator Theory written by Harkrishan Lal Vasudeva and published by Springer. This book was released on 2017-03-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach spaces. On vector spaces, the structure of inner product is imposed. After discussing geometry of Hilbert spaces, its applications to diverse branches of mathematics have been studied. Along the way are introduced orthogonal polynomials and their use in Fourier series and approximations. Spectrum of an operator is the key to the understanding of the operator. Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed. A large number of examples of operators, along with their spectrum and its splitting into point spectrum, continuous spectrum, residual spectrum, approximate point spectrum and compression spectrum, have been worked out. Spectral theorems for self-adjoint operators, and normal operators, follow the spectral theorem for compact normal operators. The book also discusses invariant subspaces with special attention to the Volterra operator and unbounded operators. In order to make the text as accessible as possible, motivation for the topics is introduced and a greater amount of explanation than is usually found in standard texts on the subject is provided. The abstract theory in the book is supplemented with concrete examples. It is expected that these features will help the reader get a good grasp of the topics discussed. Hints and solutions to all the problems are collected at the end of the book. Additional features are introduced in the book when it becomes imperative. This spirit is kept alive throughout the book.
Author : Michael Sh. Birman
Publisher : Springer Science & Business Media
ISBN 13 : 9400945868
Total Pages : 316 pages
Book Rating : 4.4/5 (9 download)
Download or read book Spectral Theory of Self-Adjoint Operators in Hilbert Space written by Michael Sh. Birman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: It isn't that they can't see the solution. It is Approach your problems from the right end that they can't see the problem. and begin with the answers. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be com pletely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order" , which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Piotr Sołtan
Publisher : Springer
ISBN 13 : 3319920618
Total Pages : 200 pages
Book Rating : 4.3/5 (199 download)
Download or read book A Primer on Hilbert Space Operators written by Piotr Sołtan and published by Springer. This book was released on 2018-09-04 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Béla Szőkefalvi-Nagy
Publisher : American Mathematical Soc.
ISBN 13 : 0821816691
Total Pages : 64 pages
Book Rating : 4.8/5 (218 download)
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 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kurt Otto Friedrichs
Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)
Download or read book Spectral Theory of Operators in Hilbert Space written by Kurt Otto Friedrichs and published by . This book was released on 1961 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael John Hoffman
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (11 download)
Download or read book Product and Commuation Properties of Hilbert Space Operators written by Michael John Hoffman and published by . This book was released on 1979 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ilwoo Cho
Publisher : Elsevier
ISBN 13 : 0443151768
Total Pages : 166 pages
Book Rating : 4.4/5 (431 download)
Download or read book Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law written by Ilwoo Cho and published by Elsevier. This book was released on 2023-04-21 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how "free-Hilbert-space Operator Theory is different from the classical Operator Theory. More interestingly, the authors demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how "inside actions of operator algebra deform the free-probabilistic information—in particular, the semicircular law. - Presents the spectral properties of three types of operators on a Hilbert space, in particular how these operators affect the semicircular law - Demonstrates how the semicircular law is deformed by actions "from inside", as opposed to actions "from outside" considered by previous theory - Explores free Hilbert spaces and their modeling applications - Authored by two leading researchers in Operator Theory and Operator Algebra
Author : Fumio Hiai
Publisher : Springer
ISBN 13 : 3540451528
Total Pages : 151 pages
Book Rating : 4.5/5 (44 download)
Download or read book Means of Hilbert Space Operators written by Fumio Hiai and published by Springer. This book was released on 2003-12-09 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.
Author : László Máté
Publisher : CRC Press
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (91 download)
Download or read book Hilbert Space Methods in Science and Engineering, written by László Máté and published by CRC Press. This book was released on 1990 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to present Hilbert space theory as an accessible language for applied mathematicians, engineers and scientists. A knowledge of linear algebra and analysis is assumed. The construction of mathematical models using Hilbert space theory is illustrated with problems and results are evaluated. For the first time, mathematical models based on reproducing kernel Hilbert spaces and causal operators are explained at an introductory level.
