Repository logo

Browsing by Subject "eigenvalue estimate"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Eigenvalue estimates for operators with finitely many negative squares
    (2016) Behrndt, Jussi; Möws, Roland; Trunk, Carsten
    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 $I\subset\mathbb{R}$ 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.