Spectral Theory Of Block Operator Matrices And Applications(English, Hardcover, Tretter Christiane)

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Spectral Theory Of Block Operator Matrices And Applications(English, Hardcover, Tretter Christiane) is written by Tretter Christiane and published by Imperial College Press. It's available with International Standard Book Number or ISBN identification 1860947689 (ISBN 10) and 9781860947681 (ISBN 13).

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.