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...
| Autores: | , , , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2016 |
| País: | Argentina |
| Recursos: | Universidad Nacional de La Plata |
| Repositório: | SEDICI (UNLP) |
| Idioma: | inglês |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/102366 |
| Acesso em linha: | http://sedici.unlp.edu.ar/handle/10915/102366 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Matemática Krein space Nonnegative operator Finite rank perturbation Eigenvalues |
| Resumo: | 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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