Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils

Authors
Adamjan, V Langer, H Moller, M
Citation
V. Adamjan et al., Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils, INTEG EQ OP, 39(2), 2001, pp. 127-152
Citations number
15
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
39
Issue
2
Year of publication
2001
Pages
127 - 152
Database
ISI
SICI code
0378-620X(200102)39:2<127:CPODTS>2.0.ZU;2-Y
Abstract
Self-adjoint quadratic operator pencils L(lambda) = lambda (2)A + lambdaB C with a noninvertible leading operator A are considered. In particular, a characterization of the spectral points of positive and of negative type o f L is given, and their behavior under a compact perturbation is studied. T hese results are applied to a pencil arising in magnetohydrodynamics.