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

Autores
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco Dardo; Möws, Roland; Trunk, Carsten
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Facultad de Ciencias Exactas
Materia
Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/102366
Acceder
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network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spacesBehrndt, JussiLeben, LeslieMartínez Pería, Francisco DardoMöws, RolandTrunk, CarstenMatemáticaKrein spaceNonnegative operatorFinite rank perturbationEigenvaluesLet 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.Facultad de Ciencias Exactas2016-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf864-895http://sedici.unlp.edu.ar/handle/10915/102366enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/19011info:eu-repo/semantics/altIdentifier/issn/0022-247Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2016.03.012info:eu-repo/semantics/altIdentifier/hdl/11336/19011info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:20:55Zoai:sedici.unlp.edu.ar:10915/102366Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:20:55.694SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
title Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
spellingShingle Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
Behrndt, Jussi
Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
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
dc.creator.none.fl_str_mv Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Möws, Roland
Trunk, Carsten
author Behrndt, Jussi
author_facet Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Möws, Roland
Trunk, Carsten
author_role author
author2 Leben, Leslie
Martínez Pería, Francisco Dardo
Möws, Roland
Trunk, Carsten
author2_role author
author
author
author
dc.subject.none.fl_str_mv Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
topic Matemática
Krein space
Nonnegative operator
Finite rank perturbation
Eigenvalues
dc.description.none.fl_txt_mv 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.
Facultad de Ciencias Exactas
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.
publishDate 2016
dc.date.none.fl_str_mv 2016-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/102366
url http://sedici.unlp.edu.ar/handle/10915/102366
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/19011
info:eu-repo/semantics/altIdentifier/issn/0022-247X
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2016.03.012
info:eu-repo/semantics/altIdentifier/hdl/11336/19011
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
864-895
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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