Abstract
Let A and B be selfadjoint operators in a Krein space. Assume that the resolvent difference of A and B is of rank one and that the spectrum of A consists in some interval I subset of R 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.
Originalsprache | englisch |
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Seiten (von - bis) | 717-734 |
Fachzeitschrift | Opuscula mathematica |
Jahrgang | 36 |
Ausgabenummer | 6 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2016 |