6533b82ffe1ef96bd1294736

RESEARCH PRODUCT

Property (gR) and perturbations

Pietro AienaJ GuillenP. Pena

subject

Settore MAT/05 - Analisi MatematicaProperty (gR) SVEPApplied MathematicsAnalysis

description

Property (gR) holds for a bounded linear operator T defined on a complex Banach space X, the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points c of the approximate point spectrum such cI -T is upper semi B-Browder. In this paper we consider the permanence of this property under nilpotent, perturbations commuting with T.

https://doi.org/10.1007/bf03651387