Congruence of selfadjoint operators
Given a bounded selfadjoint operator a in a Hilbert space H, the aim of this paper is to study the orbit of a, i.e., the set of operators which are congruent to a. We establish some necessary and sufficient conditions for an operator to be in the orbit of a. Also, the orbit of a selfadjoint operator...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2009 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/93038 |
| Acceso en línea: | http://hdl.handle.net/11336/93038 |
| Access Level: | acceso abierto |
| Palabra clave: | CONGRUENCE OF OPERATORS DIFFERENTIAL GEOMETRY SELFADJOINT OPERATORS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Given a bounded selfadjoint operator a in a Hilbert space H, the aim of this paper is to study the orbit of a, i.e., the set of operators which are congruent to a. We establish some necessary and sufficient conditions for an operator to be in the orbit of a. Also, the orbit of a selfadjoint operator with closed range is provided with a structure of differential manifold. |
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