Perturbation Theory For Linear Operators
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Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-02-15
Perturbation Theory For Linear Operators written by Tosio Kato 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 1995-02-15 with Mathematics categories.
From the reviews: "[...] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. [...] I can recommend it for any mathematician or physicist interested in this field." Zentralblatt MATH
Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer
Release Date : 1995-01-01
Perturbation Theory For Linear Operators written by Tosio Kato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Linear operators. categories.
A Short Introduction To Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Short Introduction To Perturbation Theory For Linear Operators written by Tosio Kato 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.
This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools.
Perturbation Theory For Linear Operators
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Author :
language : en
Publisher:
Release Date : 1976
Perturbation Theory For Linear Operators written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Linear operators categories.
Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Perturbation Theory For Linear Operators written by Tosio Kato 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 2013-06-29 with Mathematics categories.
Perturbation Theory For Linear Operators
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Author : Aref Jeribi
language : en
Publisher: Springer Nature
Release Date : 2021-07-28
Perturbation Theory For Linear Operators written by Aref Jeribi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Mathematics categories.
This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.
Perturbation Theory For Linear Operators
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Author : Georges Duby
language : en
Publisher:
Release Date : 1966
Perturbation Theory For Linear Operators written by Georges Duby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Perturbation Theory For Linear Operators
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Author : Jean M. Combes
language : en
Publisher:
Release Date : 1977
Perturbation Theory For Linear Operators written by Jean M. Combes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Contributions To Perturbation Theory For Linear Operators With Closed Range
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Author : Richard Kelly Oliver
language : en
Publisher:
Release Date : 1966
Contributions To Perturbation Theory For Linear Operators With Closed Range written by Richard Kelly Oliver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Perturbation (Mathematics) categories.
Spectral Theory For Linear Operators
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Author : Bilel Krichen
language : en
Publisher: CRC Press
Release Date : 2025-08-01
Spectral Theory For Linear Operators written by Bilel Krichen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-01 with Mathematics categories.
This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the first one dealing with the demicompactness concept and its relation with Fredholm theory for bounded and unbounded linear operators as well as block operator matrices acting on Banach spaces. Researchers, as well as graduate students in applicable analysis, will find that this book constitutes a useful survey of the fundamental principles of the subject. Nevertheless, the reader is assumed to be, at least, familiar with some related sections concerning notions like the compact, Fredholm operators, the basic tools of the weak topology, the concept of measures of weak noncompactness, etc. Otherwise, the reader is urged to consult the recommended literature in order to benefit fully from this book. Features - • First book dealing with demicompactness theory and its relation with Fredholm theory for bounded and unbounded linear operators as well as block operator matrices acting on Banach spaces. • Self-contained coverage of classical and more recent classes of perturbations involving the concept of demicompactness. • Offers a useful survey of the fundamental principles of spectral theory. • Provides applications for problem arising in physics and which are modeled by integral or partial differential equations.