Spectral Theory Of Linear Operators
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Spectral Theory of Linear Operators
Author | : Vladimir Müller |
Publsiher | : Springer Science & Business Media |
Total Pages | : 439 |
Release | : 2007-12-24 |
Genre | : Mathematics |
ISBN | : 9783764382650 |
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This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Spectral Theory of Linear Operators
Author | : Henry R. Dowson |
Publsiher | : Unknown |
Total Pages | : 444 |
Release | : 1978 |
Genre | : Banach spaces |
ISBN | : UCAL:B4406582 |
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General spectral theory; Riesz operators; Hermitian operators; Prespectral operators; Well-bounded operators.
Spectral Theory of Bounded Linear Operators
Author | : Carlos S. Kubrusly |
Publsiher | : Springer Nature |
Total Pages | : 249 |
Release | : 2020-01-30 |
Genre | : Mathematics |
ISBN | : 9783030331498 |
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This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory in both Banach and Hilbert spaces. Detailed proofs of all theorems are included and presented with precision and clarity, especially for the spectral theorems, allowing students to thoroughly familiarize themselves with all the important concepts. Covering both basic and more advanced material, the five chapters and two appendices of this volume provide a modern treatment on spectral theory. Topics range from spectral results on the Banach algebra of bounded linear operators acting on Banach spaces to functional calculus for Hilbert and Banach-space operators, including Fredholm and multiplicity theories. Supplementary propositions and further notes are included as well, ensuring a wide range of topics in spectral theory are covered. Spectral Theory of Bounded Linear Operators is ideal for graduate students in mathematics, and will also appeal to a wider audience of statisticians, engineers, and physicists. Though it is mostly self-contained, a familiarity with functional analysis, especially operator theory, will be helpful.
Spectral Approximation of Linear Operators
Author | : Francoise Chatelin |
Publsiher | : SIAM |
Total Pages | : 482 |
Release | : 2011-05-26 |
Genre | : Mathematics |
ISBN | : 9780898719994 |
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Originally published: New York: Academic Press, 1983.
Spectral Theory of Linear Operators
Author | : Abram Iezekiilovich Plesner |
Publsiher | : Unknown |
Total Pages | : 256 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : UCAL:B4409948 |
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Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Author | : Aref Jeribi |
Publsiher | : Springer |
Total Pages | : 599 |
Release | : 2015-07-04 |
Genre | : Science |
ISBN | : 9783319175669 |
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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.
Perturbation theory for linear operators
Author | : Tosio Kato |
Publsiher | : Springer Science & Business Media |
Total Pages | : 610 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 9783662126783 |
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Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras
Author | : Vladimir Müller |
Publsiher | : Birkhäuser |
Total Pages | : 390 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 9783034877886 |
Download Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras Book in PDF, Epub and Kindle
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.