Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Science, Physics, Mathematical Physics
Cover of the book Spectral Theory and Applications of Linear Operators and Block Operator Matrices by Aref Jeribi, Springer International Publishing
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Author: Aref Jeribi ISBN: 9783319175669
Publisher: Springer International Publishing Publication: July 4, 2015
Imprint: Springer Language: English
Author: Aref Jeribi
ISBN: 9783319175669
Publisher: Springer International Publishing
Publication: July 4, 2015
Imprint: Springer
Language: English

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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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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