A Local Spectral Theory For Closed Operators
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A Local Spectral Theory For Closed Operators
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Author : Ivan N. Erdelyi
language : en
Publisher: Cambridge University Press
Release Date : 1985-08
A Local Spectral Theory For Closed Operators written by Ivan N. Erdelyi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08 with Mathematics categories.
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.
A Local Spectral Theory For Closed Operators
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Author : Ivan Erdelyi
language : en
Publisher:
Release Date : 2014-05-14
A Local Spectral Theory For Closed Operators written by Ivan Erdelyi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.
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.
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 : 2004-02-29
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 2004-02-29 with Mathematics categories.
This book shows the deep interaction between two important theories: Fredholm and local spectral theory. A particular emphasis is placed on the applications to multipliers and in particular to convolution operators. The book also presents some important progress, made in recent years, in the study of perturbation theory for classes of operators which occur in Fredholm theory.
A Local Spectral Theory For Closed Operators
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Author : Ivan N. Erdelyi
language : en
Publisher:
Release Date : 1985
A Local Spectral Theory For Closed Operators written by Ivan N. Erdelyi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Banach spaces categories.
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary backgr.
Introduction To Spectral Theory
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Author : P.D. Hislop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Spectral Theory written by P.D. Hislop 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 Technology & Engineering categories.
The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.
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.
Ergodicity For Infinite Dimensional Systems
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Author : Giuseppe Da Prato
language : en
Publisher: Cambridge University Press
Release Date : 1996-05-16
Ergodicity For Infinite Dimensional Systems written by Giuseppe Da Prato and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-16 with Mathematics categories.
This is the only book on stochastic modelling of infinite dimensional dynamical systems.
Stochastic Partial Differential Equations
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Author : Alison Etheridge
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-13
Stochastic Partial Differential Equations written by Alison Etheridge and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-13 with Mathematics categories.
Consists of papers given at the ICMS meeting held in 1994 on this topic, and brings together some of the world's best known authorities on stochastic partial differential equations.
Harmonic Approximation
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Author : Stephen J. Gardiner
language : en
Publisher: Cambridge University Press
Release Date : 1995-05-18
Harmonic Approximation written by Stephen J. Gardiner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-18 with Mathematics categories.
The first book to provide a systematic account of recent developments and applications in harmonic approximation, progresses from classical results concerning uniform approximation on compact sets through fusion techniques to deal with approximation on unbounded sets.