Spectral Operator Theory And Related Topics

Author : Vladimir Aleksandrovič Marčenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821873069
Total Pages : 286 pages
Book Rating : 4.67/5 ( download)

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Download or read book Spectral Operator Theory and Related Topics written by Vladimir Aleksandrovič Marčenko and published by American Mathematical Soc.. This book was released on 1994 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vladimir Aleksandrovich Marchenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821841228
Total Pages : 300 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Spectral Operator Theory and Related Topics written by Vladimir Aleksandrovich Marchenko and published by American Mathematical Soc.. This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The collection contains the papers of mathematicians who are participants of the seminar on Mathematical Physics in Kharkov, Ukraine. The papers are mainly devoted to nontraditional problems of spectral theory, of disordered systems, to the spectral aspects of homogenization, and of properties of ergodic dynamical systems."--ABSTRACT.

Author : Carlos S. Kubrusly
Publisher : Springer Nature
ISBN 13 : 3030331490
Total Pages : 249 pages
Book Rating : 4.98/5 ( download)

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Download or read book Spectral Theory of Bounded Linear Operators written by Carlos S. Kubrusly and published by Springer Nature. This book was released on 2020-01-30 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory in both Banach and Hilbert spaces. Detailed proofs of all theorems are included and presented with precision and clarity, especially for the spectral theorems, allowing students to thoroughly familiarize themselves with all the important concepts. Covering both basic and more advanced material, the five chapters and two appendices of this volume provide a modern treatment on spectral theory. Topics range from spectral results on the Banach algebra of bounded linear operators acting on Banach spaces to functional calculus for Hilbert and Banach-space operators, including Fredholm and multiplicity theories. Supplementary propositions and further notes are included as well, ensuring a wide range of topics in spectral theory are covered. Spectral Theory of Bounded Linear Operators is ideal for graduate students in mathematics, and will also appeal to a wider audience of statisticians, engineers, and physicists. Though it is mostly self-contained, a familiarity with functional analysis, especially operator theory, will be helpful.

Author : Aref Jeribi
Publisher : Springer
ISBN 13 : 3319175661
Total Pages : 599 pages
Book Rating : 4.69/5 ( download)

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Download or read book Spectral Theory and Applications of Linear Operators and Block Operator Matrices written by Aref Jeribi and published by Springer. This book was released on 2015-07-04 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators.

Author : International Conference on Operator Theory (8th : 1983 : Timisoara, Romania and Baile Herculane, Romania)
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.76/5 ( download)

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Download or read book Spectral Theory of Linear Operators and Related Topics : 8th International Conference on Operator Theory, Timisoara and Hercul written by International Conference on Operator Theory (8th : 1983 : Timisoara, Romania and Baile Herculane, Romania) and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William Arveson
Publisher : Springer Science & Business Media
ISBN 13 : 0387953000
Total Pages : 140 pages
Book Rating : 4.07/5 ( download)

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Download or read book A Short Course on Spectral Theory written by William Arveson and published by Springer Science & Business Media. This book was released on 2001-11-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.

Author : Xia
Publisher : Birkhäuser
ISBN 13 : 3034854358
Total Pages : 256 pages
Book Rating : 4.51/5 ( download)

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Download or read book Spectral Theory of Hyponormal Operators written by Xia and published by Birkhäuser. This book was released on 2013-11-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral analysis of linear operators has always been one of the more active and important fields of operator theory, and of extensive interest to many operator theorists. Its devel opments usually are closely related to certain important problems in contemporary mathematics and physics. In the last 20 years, many new theories and interesting results have been discovered. Now, in this direction, the fields are perhaps wider and deeper than ever. This book is devoted to the study of hyponormal and semi-hyponormal operators. The main results we shall present are those of the author and his collaborators and colleagues, as well as some concerning related topics. To some extent, hyponormal and semi-hyponormal opera tors are "close" to normal ones. Although those two classes of operators contain normal operators as a subclass, what we are interested in are, naturally, nonnormal operators in those classes. With the well-studied normal operators in hand, we cer tainly wish to know the properties of hyponormal and semi-hypo normal operators which resemble those of normal operators. But more important than that, the investigations should be concen trated on the phenomena which only occur in the nonnormal cases.

Author : Fabrizio Colombo
Publisher : Springer
ISBN 13 : 3030030741
Total Pages : 356 pages
Book Rating : 4.42/5 ( download)

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Download or read book Spectral Theory on the S-Spectrum for Quaternionic Operators written by Fabrizio Colombo and published by Springer. This book was released on 2019-01-04 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.

Author : Laszlo Kerchy
Publisher : Birkhäuser
ISBN 13 : 3034883749
Total Pages : 719 pages
Book Rating : 4.40/5 ( download)

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Download or read book Recent Advances in Operator Theory and Related Topics written by Laszlo Kerchy and published by Birkhäuser. This book was released on 2012-12-06 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.

Author : Vladimir Müller
Publisher : Springer Science & Business Media
ISBN 13 : 3764382651
Total Pages : 439 pages
Book Rating : 4.50/5 ( download)

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Download or read book Spectral Theory of Linear Operators written by Vladimir Müller and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.