Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils |
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| Authors: | V Adamjan H Langer M Möller |
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| Institution: | (1) Department of Theoretical Physics, Odessa State University, Dvorjanska 2, 65026 Odessa, Ukraine;(2) Institut für Analysis und Technische Mathematik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040 Wien, Austria;(3) Department of Mathematics, University of the Witwatersrand, 2050 WITS, South Africa |
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| Abstract: | Self-adjoint quadratic operator pencilsL( )=
2
A + B + 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. |
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| Keywords: | Primary: 47A48 Secondary: 47A55 |
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