Property (UWΠ) and localized SVEP

Aiena, Pietro and Kachad, Mohammed: Property (UWΠ) and localized SVEP. Acta scientiarum mathematicarum, (84) 3-4. pp. 555-571. (2018)

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Abstract

Property (UWΠ) for a bounded linear operator T ∈ L(X) on a Banach space X is a variant of Browder’s theorem, and means that the points λ of the approximate point spectrum for which λI − T is upper semi-Weyl are exactly the spectral points λ such that λI − T is Drazin invertible. In this paper we investigate this property, and we give several characterizations of it by using typical tools from local spectral theory. We also relate this property with some other variants of Browder’s theorem (or Weyl’s theorem).

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2018
Volume: 84
Number: 3-4
Page Range: pp. 555-571
ISSN: 0001-6969
DOI: https://doi.org/10.14232/actasm-016-303-5
Uncontrolled Keywords: Matematika
Additional Information: Bibliogr.: p. 570-571. ; összefoglalás angol nyelven
Official URL: http://www.acta.hu
Date Deposited: 2019. Jan. 30. 05:52
Last Modified: 2019. Sep. 09. 13:44
URI: http://acta.bibl.u-szeged.hu/id/eprint/56928

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