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On Finite Rank Perturbations of Selfadjoint Operators in Krein Spaces and Eigenvalues in Spectral Gaps |
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| Authors: | Jussi Behrndt Roland Möws Carsten Trunk |
| Affiliation: | 1. Institut für Numerische Mathematik, Technische Universit?t Graz, Steyrergasse 30, 8010, Graz, Austria 2. Institut für Mathematik, Technische Universit?t Ilmenau, Postfach 10 05 65, 98684, Ilmenau, Germany |
| Abstract: | It is shown that the finiteness of eigenvalues in a spectral gap of a definitizable or locally definitizable selfadjoint operator in a Krein space is preserved under finite rank perturbations. This results is applied to a class of singular Sturm–Liouville operators with an indefinite weight function. |
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