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.
Aiena, P., Guillen, J., Pena, P. (2012). Property (gR) and perturbations. ACTA SCIENTIARUM MATHEMATICARUM, 78(Volume 78, Issue 3-4, 2012), 569-588.
Property (gR) and perturbations
AIENA, Pietro;
2012-01-01
Abstract
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.
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