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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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
id I19-R120-10915-102366
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
spellingShingle Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Möws, Roland
Trunk, Carsten
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
topic_facet Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
description 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.
format Articulo
Articulo
author Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Möws, Roland
Trunk, Carsten
author_facet Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Möws, Roland
Trunk, Carsten
author_sort Behrndt, Jussi
title Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
title_short Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
title_full Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
title_fullStr Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
title_full_unstemmed Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
title_sort sharp eigenvalue estimates for rank one perturbations of nonnegative operators in krein spaces
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/102366
https://ri.conicet.gov.ar/11336/19011
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