摘要

A result due to Djordjevic shows that the accumulation points of the approximate point spectrum of an operator are invariant under commuting finite rank perturbations. In this paper, we extend it to power finite rank perturbations. Some applications to polaroid operators, a-polaroid operators, generalized Drazin spectrum, generalized Weyl's theorem, generalized a-Weyl's theorem, property (gv) and property (Bw) are given.