Unitary operators with decomposable corners
We study pairs (U, L) , where U is a unitary operator in H and L⊂ H is a closed subspace, such that PL0U|L0:L0→L0has a singular value decomposition. Abstract characterizations of this condition are given, as well as relations to the geometry of projections and pairs of projections. Several concrete...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/135488 |
| Acceso en línea: | http://hdl.handle.net/11336/135488 |
| Access Level: | acceso abierto |
| Palabra clave: | CLOSED SUBSPACE SINGULAR VALUE DECOMPOSITION UNITARY OPERATOR https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We study pairs (U, L) , where U is a unitary operator in H and L⊂ H is a closed subspace, such that PL0U|L0:L0→L0has a singular value decomposition. Abstract characterizations of this condition are given, as well as relations to the geometry of projections and pairs of projections. Several concrete examples are examined. |
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