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.
Settore MAT/05 - Analisi Matematica
Aiena, P., Guillen, J., Pena, P. (2012). Property (gR) and perturbations. ACTA SCIENTIARUM MATHEMATICARUM, 78(Volume 78, Issue 3-4, 2012), 569-588.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/64087
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