On Strong Variations Of Weyl Type Theorems
An operatorTacting on a Banach spaceXsatis es the property(UWE) if a(T)r SF+(T) =E(T), where a(T) is the aproximate point spec-trum ofT, SF+(T) is the upper semi-Weyl spectrum ofTandE(T) is the setof all eigenvalues ofTthat are isolated in the spectrum (T) ofT. In this paper,we introduce and study t...
- Autores:
-
Sanabria, J
Carpintero, Carlos
Vasquez, L
Rosas, Ennis
Garcia, Orlando
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2017
- Institución:
- Corporación Universitaria del Caribe - CECAR
- Repositorio:
- Repositorio Digital CECAR
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cecar.edu.co:cecar/10962
- Acceso en línea:
- https://repositorio.cecar.edu.co/handle/cecar/10962
- Palabra clave:
- Semi-Fredholm operator
Weyl's theorem
Property (WE)
Property(UWE)
Property (VE)
- Rights
- openAccess
- License
- Derechos Reservados. Corporación Universitaria del Caribe – CECAR
| Summary: | An operatorTacting on a Banach spaceXsatis es the property(UWE) if a(T)r SF+(T) =E(T), where a(T) is the aproximate point spec-trum ofT, SF+(T) is the upper semi-Weyl spectrum ofTandE(T) is the setof all eigenvalues ofTthat are isolated in the spectrum (T) ofT. In this paper,we introduce and study two new spectral properties, namely (VE) and (VEa), inconnection with Weyl type theorems. Among other results, we have thatTsatis esproperty (VE) if and only ifTsatis es property (UWE) and (T) = a(T). |
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