Best approximation by diagonal compact operators
We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that the norm of C is less or equal to that of C + D , for all the real and compact diagonals D in a fixed base of H (in the operator norm). We also exhibit a positive trace class operat...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/3338 |
| Acceso en línea: | http://hdl.handle.net/11336/3338 |
| Access Level: | acceso abierto |
| Palabra clave: | Minimal Compact Operator Diagonal Operator Quotient Operator Norm Best Approximation https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that the norm of C is less or equal to that of C + D , for all the real and compact diagonals D in a fixed base of H (in the operator norm). We also exhibit a positive trace class operator that fails to attain the minimum in a compact diagonal. |
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