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http://hdl.handle.net/10662/9027
Title: | Preservation results for new spectral properties |
Authors: | Zariouh, Hassan |
Keywords: | a-Browder's theorem;Upper semi-Weyl spectrum;Propiedad de extensión de valor único (SVEP);Riesz operator;Teorema de a-Browder;Espectro de semi-Weyl superior;Single valued extension property (SVEP);Operador de Riesz |
Issue Date: | 2015 |
Publisher: | Universidad de Extremadura |
Abstract: | A bounded linear operator T is said to satisfy property (S Baw) if (σ_a (T) ) ⁄σ_(SBF_+^- ) (T) = E_a^0(T); where σ_a(T) is the approximate point spectrum of T; σ_(SBF_+^- ) (T) is the upper semi-B-Weyl spectrum of T and E_a^0(T) is the set of all eigenvalues of T of finite multiplicity that are isolated in its approximate point spectrum. In this paper we give a characterization of this spectral property for a bounded linear operator having SVEP on the complementary of its upper semi-B-Weyl spectrum, and we study its stability under commuting Riesz-type perturbations. Analogous results are obtained for the properties (S Bb); (S Bab) and (S Bw): The theory is exemplified in the case of some special classes of operators. |
URI: | http://hdl.handle.net/10662/9027 |
Appears in Collections: | Extracta Mathematicae Vol. 30, nº 2 (2015) |
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