Spectral picture, perturbed Browder and Weyl theorems, and their variations

Abstract

The holes (i.e., the union of the bounded components of the complement in the complex plane), alongwith the isolated points, of the Weyl and the approximate Weyl spectrum (and their B-Fredholm avatars) play a decisive role in determining Browder and Weyl theorems type properties for Banach space operators and their perturbations.