Publicación:

On Strong Variations Of Weyl Type Theorems

Resumen en inglés

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).