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- W2163754611 abstract "It was shown by P. Jonas and H. Langer that a selfadjoint definitizable operator A in a Krein space remains definitizable after a finite rank perturbation in resolvent sense if the perturbed operator B is selfadjoint and the resolvent set ρ(B) is nonempty. It is the aim of this note to prove a more general variant of this perturbation result where the assumption on ρ(B) is dropped. As an application a class of singular ordinary differential operators with indefinite weight functions is studied." @default.
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- W2163754611 date "2008-03-01" @default.
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- W2163754611 title "On finite rank perturbations of definitizable operators" @default.
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- W2163754611 doi "https://doi.org/10.1016/j.jmaa.2007.07.016" @default.
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