Eigenvalue estimates for operators with finitely many negative squares

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

Let A and B be selfadjoint operators in a Krein space. Assume that the re- solvent difference of A and B is of rank one and that the spectrum of A consists in some interval I of isolated eigenvalues only. In the case that A is an operator with finitely many negative squares we prove sharp estimates on the number of eigenvalues of B in the interval I. The general results are applied to singular indefinite Sturm-Liouville problems.

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Behrndt, Jussi / Möws, Roland / Trunk, Carsten: Eigenvalue estimates for operators with finitely many negative squares. Ilmenau 2016.

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