# Spectral estimates and basis properties for self-adjoint block operator matrices

Strauss, Michael
(2010)
*Spectral estimates and basis properties for self-adjoint block operator matrices.*
Integral Equations and Operator Theory, 67 (2).
pp. 257-277.
ISSN 0378-620X

## Abstract

In the first part of this manuscript a relationship between the spectrum of self-adjoint 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.

Item type: | Article |
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ID code: | 29285 |

Keywords: | schur complement, magnetohydrodynamics, bari basis, angular operator, graph invariant subspace , eigenvalue estimates, Probabilities. Mathematical statistics, Algebra and Number Theory, Analysis |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Pure Administrator |

Date Deposited: | 07 Mar 2011 23:29 |

Last modified: | 04 May 2016 17:54 |

Related URLs: | |

URI: | http://strathprints.strath.ac.uk/id/eprint/29285 |