Spectral Theory Of Block Operator Matrices And Applications
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€111.99
A01=Christiane Tretter
Author_Christiane Tretter
Category=PBKF
Differential Equations
Eigenvalues
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Mathematical Physics
Matrix Theory
Numerical Range
Operator Theory
Riccati Equations
Spectral Theory
Product details
- ISBN 9781860947681
- Publication Date: 16 Oct 2008
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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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.
