On two properties of the numerical range of a bounded hilbert space operator
Necessary and sufficient conditions are given for the numerical range of a bounded Hilbert space operator to have an empty interior. A sufficient condition for this set to be open is also established.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1994 |
| País: | Colombia |
| Institución: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/43500 |
| Acceso en línea: | https://repositorio.unal.edu.co/handle/unal/43500 http://bdigital.unal.edu.co/33598/ |
| Access Level: | acceso abierto |
| Palabra clave: | bounded self-adjoint and normal operators interior of a set numerical range and spectrum of an operator functions of class C1. |
| Sumario: | Necessary and sufficient conditions are given for the numerical range of a bounded Hilbert space operator to have an empty interior. A sufficient condition for this set to be open is also established. |
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