Spectral Theory Of Block Operator Matrices And Applications
Author:   Christiane Tretter (Univ Bern, Switzerland)
Publisher:   Imperial College Press
ISBN:  

9781860947681


Pages:   296
Publication Date:   16 October 2008
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Spectral Theory Of Block Operator Matrices And Applications


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Overview

This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: non-self-adjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics.The main topics include: localization of the spectrum by means of new concepts of numerical range; investigation of the essential spectrum; variational principles and eigenvalue estimates; block diagonalization and invariant subspaces; solutions of algebraic Riccati equations; applications to spectral problems from magnetohydrodynamics, fluid mechanics, and quantum mechanics.

Full Product Details

Author:   Christiane Tretter (Univ Bern, Switzerland)
Publisher:   Imperial College Press
Imprint:   Imperial College Press
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 22.90cm
Weight:   0.544kg
ISBN:  

9781860947681


ISBN 10:   1860947689
Pages:   296
Publication Date:   16 October 2008
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Bounded Block Operator Matrices: The Quadratic Numerical Range; Spectral Inclusion; Estimates of the Resolvent; Corners of the Quadratic Numerical Range; Schur Complements and Their Factorization; Block Diagonalization; The Block Numerical Range; Numerical Rangs of Operator Polynomials and Block Numerical Ranges; Unbounded Block Operator Matrices: Closedness and Closability of Block Operator Matrices; Spectrum, Schur Complements and Quadratic Complements; Spectral Inclusion; Eigenvalues and Variational Principles; Solutions of Riccati Equations and Block Diagonalization; Applications in Mathematical Physics.

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