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Titlebook: Spectral Theory and Applications of Linear Operators and Block Operator Matrices; Aref Jeribi Book 2015 Springer International Publishing

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书目名称Spectral Theory and Applications of Linear Operators and Block Operator Matrices
编辑Aref Jeribi
视频video
概述Examines state-of-the-art research on S-essential spectra and essential pseudo-spectra of closed, closely-defined, and linear operators subjected to additive perturbations.Outlines applications of spe
图书封面Titlebook: Spectral Theory and Applications of Linear Operators and Block Operator Matrices;  Aref Jeribi Book 2015 Springer International Publishing
描述.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..
出版日期Book 2015
关键词Block Matrices; Linear Operators; Mathematical Physics; Operator Theory; Spectral theory
版次1
doihttps://doi.org/10.1007/978-3-319-17566-9
isbn_softcover978-3-319-37289-1
isbn_ebook978-3-319-17566-9
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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Fundamentals,The aim of this chapter is to introduce the basic concepts, notations, and elementary results which are used throughout the book. Moreover, the results in this chapter may be found in most standard books dealing with operator theory and functional analysis (see [101, 126, 264, 302, 354]).
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Perturbation Results,In this chapter, we present preliminary notions and results on which this book is based, namely, the known properties of Fredholm operators in a Banach space, and some results on semi-Fredholm perturbations, Fredholm inverse, and quasi-Fredholm operator on Banach spaces.
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Pseudo-Spectra,In this chapter, we study the essential pseudo-spectra of densely closed, linear operators in the Banach space.
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,-Essential Spectra,In this chapter, we give a characterization of .-essential spectra of linear operator . on a Banach space ..
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Aref JeribiExamines state-of-the-art research on S-essential spectra and essential pseudo-spectra of closed, closely-defined, and linear operators subjected to additive perturbations.Outlines applications of spe
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