Property (R) holds for a bounded linear operator T defined on a complex Banach space X, if 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-Browder. In this paper we consider the permanence of this property under quasi nilpotent, Riesz or algebraic perturbations commuting with T.
Aiena, P., Aponte, E., Guillen, J., & Pena, P. (2013). Property (R) under perturbations. MEDITERRANEAN JOURNAL OF MATHEMATICS, 10(Volume: 10 Issue: 1), 367-382.
Data di pubblicazione: | 2013 |
Titolo: | Property (R) under perturbations |
Autori: | |
Citazione: | Aiena, P., Aponte, E., Guillen, J., & Pena, P. (2013). Property (R) under perturbations. MEDITERRANEAN JOURNAL OF MATHEMATICS, 10(Volume: 10 Issue: 1), 367-382. |
Rivista: | |
Abstract: | Property (R) holds for a bounded linear operator T defined on a complex Banach space X, if 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-Browder. In this paper we consider the permanence of this property under quasi nilpotent, Riesz or algebraic perturbations commuting with T. |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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