Spectral Theory Of Block Operator Matrices And Applications

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Spectral Theory Of Block Operator Matrices And Applications

Spectral Theory Of Block Operator Matrices And Applications
Author :
Publisher : World Scientific
Total Pages : 297
Release :
ISBN-10 : 9781908979322
ISBN-13 : 1908979321
Rating : 4/5 (321 Downloads)

Book Synopsis Spectral Theory Of Block Operator Matrices And Applications by : Christiane Tretter

Download or read book Spectral Theory Of Block Operator Matrices And Applications written by Christiane Tretter and published by World Scientific. This book was released on 2008-10-15 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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./a


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