Spectral Theory of Linear Operators
Title | Spectral Theory of Linear Operators PDF eBook |
Author | Vladimir Müller |
Publisher | Springer Science & Business Media |
Pages | 444 |
Release | 2007-12-24 |
Genre | Mathematics |
ISBN | 3764382651 |
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.
Nonlinear Partial Differential Equations for Scientists and Engineers
Title | Nonlinear Partial Differential Equations for Scientists and Engineers PDF eBook |
Author | Lokenath Debnath |
Publisher | Birkhäuser |
Pages | 860 |
Release | 2011-10-06 |
Genre | Mathematics |
ISBN | 9780817682644 |
The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.
Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras
Title | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras PDF eBook |
Author | Vladimir Müller |
Publisher | Birkhäuser |
Pages | 390 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 3034877889 |
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 Banach Space Operators
Title | Spectral Theory of Banach Space Operators PDF eBook |
Author | S. Kantorovitz |
Publisher | Springer |
Pages | 184 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540386661 |
An Introduction to Local Spectral Theory
Title | An Introduction to Local Spectral Theory PDF eBook |
Author | K. B. Laursen |
Publisher | Oxford University Press |
Pages | 610 |
Release | 2000 |
Genre | Mathematics |
ISBN | 9780198523819 |
Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.
A Primer on Spectral Theory
Title | A Primer on Spectral Theory PDF eBook |
Author | Bernard Aupetit |
Publisher | Springer Science & Business Media |
Pages | 206 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461230489 |
This textbook provides an introduction to the new techniques of subharmonic functions and analytic multifunctions in spectral theory. Topics include the basic results of functional analysis, bounded operations on Banach and Hilbert spaces, Banach algebras, and applications of spectral subharmonicity. Each chapter is followed by exercises of varying difficulty. Much of the subject matter, particularly in spectral theory, operator theory and Banach algebras, contains new results.
Spectral Theory of Block Operator Matrices and Applications
Title | Spectral Theory of Block Operator Matrices and Applications PDF eBook |
Author | Christiane Tretter |
Publisher | World Scientific |
Pages | 297 |
Release | 2008 |
Genre | Science |
ISBN | 1860947689 |
This book presents new concepts in operator theory and covers classes of operators (in particular, non-selfadjoint operators) which exhibit various interesting phenomena. Special attention is paid to applications in many areas of mathematical physics, including quantum mechanics, fluid mechanics, and magnetohydrodynamics.The author also discusses an operator theoretic approach to spectral problems for linear operators admitting a certain block structure. The results apply to bounded or finite-dimensional operators like block matrices as well to unbounded operators describing systems of differential equations. New concepts of numerical range are developed.