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On the property \((Z_{E_{a}})\)

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Abstract

The paper introduces the notion of properties \((Z_{\Pi _{a}})\) and \((Z_{E_{a}})\) as variants of Weyl’s theorem and Browder’s theorem for bounded linear operators acting on infinite dimensional Banach spaces. A characterization of these properties in terms of localized single valued extension property is given, and the perturbation by commuting Riesz operators is also studied. Classes of operators are considered as illustrating examples.

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  1. Département de Mathématiques, Centre Régional pour les Métiers de l’Éducation et de la Formation de la région de l’Oriental (CRMEFO), PO Box 458, Bodir, 60000, Oujda, Morocco

    H. Zariouh

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  1. H. Zariouh
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Zariouh, H. On the property \((Z_{E_{a}})\) . Rend. Circ. Mat. Palermo, II. Ser 65, 323–331 (2016). https://doi.org/10.1007/s12215-016-0236-z

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  • DOI: https://doi.org/10.1007/s12215-016-0236-z

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