Article ID Journal Published Year Pages File Type
4603621 Linear Algebra and its Applications 2007 8 Pages PDF
Abstract

The generalized Weyl’s theorem holds for a Banach space operator T if and only if T or T∗ has the single valued extension property in the complement of the Weyl spectrum (or B-Weyl spectrum) and T has topological uniform descent at all λ which are isolated eigenvalues of T. Also, we show that the generalized Weyl’s theorem holds for analytically paranormal operators.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory