Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Aref Jeribi (Autor)

Buch | Softcover

XVI, 599 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-37289-1 (ISBN)

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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.

Prof. Dr. Aref Jeribi is a Professor in the Department of Mathematics at the University of Sfax in Sfax, Tunisia.

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.

Erscheinungsdatum	21.10.2016
Zusatzinfo	XVI, 599 p. 33 illus., 14 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Block Matrices • Functional analysis and transforms • Linear Operators • Mathematical Physics • Mathematics • mathematics and statistics • operator theory • spectral theory
ISBN-10	3-319-37289-0 / 3319372890
ISBN-13	978-3-319-37289-1 / 9783319372891
Zustand	Neuware