Search results for "local spectral theory. Weyl type theorems"
showing 2 items of 2 documents
Weyl's and Browder's theorems through the quasi-nilpotent part
2006
Weyl and Browder type theorems are characterized by means the quasi-nilpotent part
Property (gb) through local spectral theory
2014
Property (gb) for a bounded linear operator T on a Banach space X means that the points c of the approximate point spectrum for which c I-T is upper semi B-Weyl are exactly the poles of the resolvent. In this paper we shall give several characterizations of property (gb). These characterizations are obtained by using typical tools from local spectral theory. We also show that property (gb) holds for large classes of operators and prove the stability of property (gb) under some commuting perturbations.