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dc.contributor.author
Behrndt, Jussi  
dc.contributor.author
Leben, Leslie  
dc.contributor.author
Martinez Peria, Francisco Dardo  
dc.contributor.author
Möws, Roland  
dc.contributor.author
Trunk, Carsten  
dc.date.available
2017-06-28T18:31:36Z  
dc.date.issued
2016-07  
dc.identifier.citation
Behrndt, Jussi; Leben, Leslie; Martinez Peria, Francisco Dardo; Möws, Roland; Trunk, Carsten; Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces; Elsevier; Journal Of Mathematical Analysis And Applications; 439; 2; 7-2016; 864-895  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/19011  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Krein Space  
dc.subject
Nonnegative Operator  
dc.subject
Finite Rank Perturbation  
dc.subject
Eigenvalues  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-06-26T19:51:34Z  
dc.journal.volume
439  
dc.journal.number
2  
dc.journal.pagination
864-895  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Behrndt, Jussi. Technische Universität Graz; Austria  
dc.description.fil
Fil: Leben, Leslie. Technische Universität Ilmenau; Alemania  
dc.description.fil
Fil: Martinez Peria, Francisco Dardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina  
dc.description.fil
Fil: Möws, Roland. Technische Universität Ilmenau; Alemania  
dc.description.fil
Fil: Trunk, Carsten. Technische Universität Ilmenau; Alemania  
dc.journal.title
Journal Of Mathematical Analysis And Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2016.03.012  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X16002304?via%3Dihub  

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