Shorting selfadjoint operators in Hilbert spaces
Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. Also, an extension of Pekarev's formula is given.
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/93034 |
| Acesso em linha: | http://hdl.handle.net/11336/93034 |
| Access Level: | acceso abierto |
| Palavra-chave: | SCHUR COMPLEMENT SELFADJOINT OPERATOR SHORTED OPERATOR https://purl.org/becyt/ford/2.2 https://purl.org/becyt/ford/2 |
| Resumo: | Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. Also, an extension of Pekarev's formula is given. |
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