On the property (Z_Ea)

2016/01/13 by Hassan Zariouh, Zariouh, Hassan
Mathematics · #47A10 #47A11 #47A53 #47A55 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.FA #msc:47A10 #msc:47A11 #msc:47A53 #msc:47A55

paper · pdf · doi:10.48550/arxiv.1601.03175

10 pages

arxiv created 2016/01/13 · openalex publication_date 2016/01/13 · arxiv updated 2016/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper introduces the notion of properties (Z_Πa) and (Z_Ea) 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.

Related

• Properties (BR) and (BgR) for Bounded Linear Operators
• B-Fredholm and Drazin invertible operators through localized SVEP
• Extended Rakočević's property
• Weyl's theorem, a-Weyl's theorem, and local spectral theory
• Every operator has almost-invariant subspaces