Please use this identifier to cite or link to this item:
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.
Appears in Collections:Extracta Mathematicae Vol. 30, nº 2 (2015)

Files in This Item:
File Description SizeFormat 
2605-5686_30_2_191.pdf127,07 kBAdobe PDFView/Open

This item is licensed under a Creative Commons License Creative Commons