We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators.
Aiena, P., & Lt, M. (2007). On generalized a-Browder's theorem. STUDIA MATHEMATICA, 180(3), 285-300.
Data di pubblicazione: | 2007 |
Titolo: | On generalized a-Browder's theorem |
Autori: | |
Citazione: | Aiena, P., & Lt, M. (2007). On generalized a-Browder's theorem. STUDIA MATHEMATICA, 180(3), 285-300. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.4064/sm180-3-7 |
Abstract: | We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators. |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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