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.
- Autores:
-
Rodríguez Montes, Jaime
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1994
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- 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/
- Palabra clave:
- bounded
self-adjoint and normal operators
interior of a set
numerical range and spectrum of an operator
functions of class C1.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | 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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