Artículo
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
Fecha de publicación:
07/2016
Editorial:
Elsevier
Revista:
Journal Of Mathematical Analysis And Applications
ISSN:
0022-247X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Krein Space
,
Nonnegative Operator
,
Finite Rank Perturbation
,
Eigenvalues
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
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
Compartir
Altmétricas