Publicación:

Onnewstrongversions of Browder type theorems

Resumen en inglés

Anoperator T actingonaBanachspace X satis estheproperty(UW )if a(T)∖ SF− + (T) = (T), where a(T)istheapproximatepointspectrumofT, SF− + (T)istheuppersemi-WeylspectrumofT and (T) the set of all poles of T. In this paper we introduce and study two new spectral properties, namely (V ) and (V a ),inconnection with Browder type theorems introduced in [1], [2], [3] and [4]. Among other results, we have that T satis es property (V ) if and only if T satis es property (UW ) and (T) = a(T).