Spectral Decomposition Of Operators On Banach Spaces
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Spectral Decomposition Of Operators On Banach Spaces
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Author : Ali Akbar Jafarian
language : en
Publisher: c1973.
Release Date : 1973
Spectral Decomposition Of Operators On Banach Spaces written by Ali Akbar Jafarian and has been published by c1973. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Banach spaces categories.
Spectral Decompositions On Banach Spaces
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Author : I. Erdelyi
language : en
Publisher: Springer
Release Date : 2006-11-15
Spectral Decompositions On Banach Spaces written by I. Erdelyi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Operators In Banach Space Which Admit A Generalized Spectral Decomposition
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Author : František Wolf
language : en
Publisher:
Release Date : 1956
Operators In Banach Space Which Admit A Generalized Spectral Decomposition written by František Wolf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Banach spaces categories.
Analytic Functional Calculus And Spectral Decompositions
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Author : Florian-Horia Vasilescu
language : en
Publisher: Springer Science & Business Media
Release Date : 1983-01-31
Analytic Functional Calculus And Spectral Decompositions written by Florian-Horia Vasilescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-31 with Mathematics categories.
Operators In Banach Space Which Admit A Generalized Spectral Decomposition
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Author : Frantisek Wolf
language : en
Publisher:
Release Date : 2013-03
Operators In Banach Space Which Admit A Generalized Spectral Decomposition written by Frantisek Wolf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03 with categories.
Spectral Theory Of Operators On Hilbert Spaces
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Author : Carlos S. Kubrusly
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-01
Spectral Theory Of Operators On Hilbert Spaces written by Carlos S. Kubrusly and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-01 with Mathematics categories.
This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field.
Fredholm And Local Spectral Theory With Applications To Multipliers
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Author : Pietro Aiena
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08
Fredholm And Local Spectral Theory With Applications To Multipliers written by Pietro Aiena and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Mathematics categories.
A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral t- ory mentioned above are quite similar to those of a normal operator de?ned on a complex Hilbert space. In the last ten years the knowledge of the spectral properties of multip- ers of Banach algebras has increased considerably, thanks to the researches undertaken by many people working in local spectral theory and Fredholm theory. This research activity recently culminated with the publication of the book of Laursen and Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers.
Banach Lattices And Positive Operators
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Author : H.H. Schaefer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Banach Lattices And Positive Operators written by H.H. Schaefer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
An Introduction To Local Spectral Theory
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Author : K. B. Laursen
language : en
Publisher: Oxford University Press
Release Date : 2000
An Introduction To Local Spectral Theory written by K. B. Laursen 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 2000 with Mathematics categories.
Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory, whose pioneers include Dunford, Bishop, Foias, and others. Assuming only modest prerequisites of its readership, it gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. It is highlighted by many characterizations of decomposable operators, and of other related, important classes of operators, as well as an in-depth study of their spectral properties, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Also found is a thorough and quite elementary treatment of the modern single- operator duality theory; this theory has many applications, both to general issues of classification and to such celebrated problems as the invariant subspace problems. A long chapter - almost a book in itself - is devoted to the use of local spectral theory in the study of spectral properties of multipliers and convolution operators. Another one describes its connections to automatic continuity theory. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, and extensive references. It concludes with a list of interesting open problems, suitable for continued research.
Spectral Properties Of Noncommuting Operators
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Author : Brian R. Jefferies
language : en
Publisher: Springer
Release Date : 2004-04-30
Spectral Properties Of Noncommuting Operators written by Brian R. Jefferies and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-30 with Mathematics categories.
Forming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl’s functional calculus, initially applied to the position and momentum operators of quantum mechanics, also makes sense for finite systems of selfadjoint operators. By using the Cauchy integral formula available from Clifford analysis, the book examines how functions of a finite collection of operators can be formed when the Weyl calculus is not defined. The technique is applied to the determination of the support of the fundamental solution of a symmetric hyperbolic system of partial differential equations and to proving the boundedness of the Cauchy integral operator on a Lipschitz surface.