Abstract
Double variational principles are established for eigenvalues of a (norm) continuous self-adjoint operator valued functionL defined on a real interval [α, β[.L(λ) is not required to be definite for any λ. Applications are made to linear, quadratic and rational functionsL.
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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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Binding, P., Eschwé, D. & Langer, H. Variational principles for real eigenvalues of self-adjoint operator pencils. Integr equ oper theory 38, 190–206 (2000). https://doi.org/10.1007/BF01200123
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DOI: https://doi.org/10.1007/BF01200123