On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps

Behrndt, Jussi GND; Möws, Roland GND; Trunk, Carsten GND

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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Behrndt Univ.-Prof. Dr., J., Möws Dr. rer. nat., R., Trunk Univ.-Prof. Dr. rer. nat. habil., C., 2012. On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps. Preprint /  Technische Universität Ilmenau, Institut für Mathematik, Preprint /  Technische Universität Ilmenau, Institut für Mathematik 12–12.
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