• Media type: Text; E-Article
  • Title: Eigenvalue estimates for operators with finitely many negative squares
  • Contributor: Behrndt, Jussi [Author]; Möws, Roland [Author]; Trunk, Carsten [Author]
  • Published: Digital Library Thüringen, 2016
  • Language: English
  • DOI: https://doi.org/10.7494/OpMath.2016.36.6.717
  • Keywords: selfadjoint operator -- Krein space -- finitely many negative squares -- eigenvalue ; ScholarlyArticle ; article
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  • Description: 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 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.
  • Access State: Open Access
  • Rights information: Attribution (CC BY)