Spectral Theory and Applications of Linear Operators and Block Operator Matrices
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Beschreibung
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.
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.
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 spectral graph theory to physics and biology Provides essentials of operator theory and matrix algebra
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Aref Jeribi
Themen in »Spectral Theory and Applications of Linear Operators and Block Operator Matrices«
Block Matrices Linear Operators Mathematical Physics Operator Theory Spectral theory
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“The author studies specifically some relevant aspects of the spectral theory for block operator matrices from a new standpoint and incorporates recent results of his own works. … the book provides a large variety of important applications in many branches of mathematics as well as physics, biology, and some open questions are given, too. This book may be of interest for both experienced researchers and graduate students.” (Carlos R. Carpintero, zbMATH 1354.47001, 2017)
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