Variational principles for real eigenvalues of self-adjoint operator pencils

Authors
Binding, P Eschwe, D Langer, H
Citation
P. Binding et al., Variational principles for real eigenvalues of self-adjoint operator pencils, INTEG EQ OP, 38(2), 2000, pp. 190-206
Citations number
14
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
38
Issue
2
Year of publication
2000
Pages
190 - 206
Database
ISI
SICI code
0378-620X(200010)38:2<190:VPFREO>2.0.ZU;2-4
Abstract
Double variational principles are established for eigenvalues of a (norm) c ontinuous self-adjoint operator valued function L defined on a real interva l [alpha, beta[. L(lambda) is not required to be definite for any lambda. A pplications are made to linear, quadratic and rational functions L.