A NOTE ON LINEAR OPERATORS RS AND SR

Jong-Kwang Yoo (Korea)

Received September 30, 2007

Abstract

As shown by Benhida and Zerouali [2], RS and SR share the same local spectral properties SVEP, (b), (d) and decomposability. In this paper, we study the relation between local spectral properties of the linear operators RS and SR.

Keywords and phrases: Dunford’s property (C), property (Q), finite ascent, algebraic spectral subspace, analytic core, quasi-nilpotent part.