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Abstract
In the first part of this manuscript a relationship between the spectrum of selfadjoint operator matrices and the spectra of their diagonal entries is found. This leads to enclosures for spectral points and in particular, enclosures for eigenvalues. We also consider graph invariant subspaces, and their corresponding angular operators. The existence of a bounded angular operator leads to basis properties of the first component of eigenvectors of operator matrices for which the corresponding eigenvalues lie in a half line. The results are applied to an example from magnetohydrodynamics.
Original language  English 

Pages (fromto)  257277 
Number of pages  21 
Journal  Integral Equations and Operator Theory 
Volume  67 
Issue number  2 
DOIs  
Publication status  Published  2010 
Keywords
 schur complement
 magnetohydrodynamics
 bari basis
 angular operator
 graph invariant subspace
 eigenvalue estimates
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Dive into the research topics of 'Spectral estimates and basis properties for selfadjoint block operator matrices'. Together they form a unique fingerprint.Projects
 1 Finished

Spectral Theory of Block Operator Matrices
EPSRC (Engineering and Physical Sciences Research Council)
1/09/07 → 30/11/09
Project: Research