Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces

Let A and B be selfadjoint operators in a Krein space and assume that the resolvent difference of A and B is of rank one. In the case that A is nonnegative and I is an open interval such that σ(A)∩I consists of isolated eigenvalues we prove sharp estimates on the number and multiplicities of eigenva...

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Detalles Bibliográficos
Autores principales: Behrndt, Jussi, Leben, Leslie, Martínez Pería, Francisco Dardo, Möws, Roland, Trunk, Carsten
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102366
https://ri.conicet.gov.ar/11336/19011
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:Let A and B be selfadjoint operators in a Krein space and assume that the resolvent difference of A and B is of rank one. In the case that A is nonnegative and I is an open interval such that σ(A)∩I consists of isolated eigenvalues we prove sharp estimates on the number and multiplicities of eigenvalues of B in I. The general result is illustrated with eigenvalue estimates for singular indefinite Sturm–Liouville problems.

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