Variational principles for real eigenvalues of self-adjoint operator pencils |
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| Authors: | Paul Binding David Eschwé Heinz Langer |
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| Institution: | (1) Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N. W., T2N 1N4 Calgary, Alberta, Canada;(2) Institut für Analysis und Technische Mathematik, Technische Universität Wien, Wiedner Hauptstraße 8-10, A-1040 Wien, Austria |
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| Abstract: | Double variational principles are established for eigenvalues of a (norm) continuous self-adjoint operator valued functionL defined on a real interval  ,  .L( ) is not required to be definite for any . Applications are made to linear, quadratic and rational functionsL.This author acknowledges support from NSERC of Canada and the I.W. Killam Foundation.This author was supported by the  Fonds zur Förderung der wissenschaftlichen Forschung of Austria, Project P 12176-MAT. |
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| Keywords: | 49R50 47A75 |
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