Eigenvalue estimates for operators with finitely many negative squares

Jussi Behrndt, Roland Möws, Carsten Trunk*

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

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.
Originalspracheenglisch
Seiten (von - bis)717-734
FachzeitschriftOpuscula mathematica
Jahrgang36
Ausgabenummer6
DOIs
PublikationsstatusVeröffentlicht - 2016

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