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Spectral theory and applications of ...

Jeribi, Aref.

Spectral theory and applications of linear operators and block operator matrices

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Spectral theory and applications of linear operators and block operator matricesby Aref Jeribi.
作者:	Jeribi, Aref.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xvi, 599 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Spectral theory (Mathematics)
電子資源:	http://dx.doi.org/10.1007/978-3-319-17566-9
ISBN:	9783319175669 (electronic bk.)

Spectral theory and applications of linear operators and block operator matrices
Jeribi, Aref.

Spectral theory and applications of linear operators and block operator matrices[electronic resource] /by Aref Jeribi. - Cham :Springer International Publishing :2015. - xvi, 599 p. :ill., digital ;24 cm.

Introduction -- Fredholm Operators and Riesz Theory -- Abstract Cauchy Problem -- Fredholm Theory Related to Some Measures -- Pertubation Results -- Essential Spectra of Linear Operators -- Essentia Pseudo-spectra -- S-Essential Spectra -- Essential Spectra of 2 X 2 Block Operator Matrices -- Essential Spectra of 3 X 3 Block Operator Matrices -- Applications in Mathematical Physics and Biology.

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.

ISBN: 9783319175669 (electronic bk.)

Standard No.: 10.1007/978-3-319-17566-9doiSubjects--Topical Terms:

182365
Spectral theory (Mathematics)

LC Class. No.: QC20.7.S64

Dewey Class. No.: 515.7222

Spectral theory and applications of linear operators and block operator matrices
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505 0 $a Introduction -- Fredholm Operators and Riesz Theory -- Abstract Cauchy Problem -- Fredholm Theory Related to Some Measures -- Pertubation Results -- Essential Spectra of Linear Operators -- Essentia Pseudo-spectra -- S-Essential Spectra -- Essential Spectra of 2 X 2 Block Operator Matrices -- Essential Spectra of 3 X 3 Block Operator Matrices -- Applications in Mathematical Physics and Biology.
520 $a 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.
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