Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils
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Abstract
Self-adjoint quadratic operator pencilsL(λ)=λ2A + λB + C with a noninvertible leading operatorA are considered. In particular, a characterization of the spectral points of positive and of negative type ofL is given, and their behavior under a compact perturbation is studied. These results are applied to a pencil arising in magnetohydrodynamics.
1991 Mathematics Subject Classification
Primary: 47A48 Secondary: 47A55Preview
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