Operators which have a closed quasi-nilpotent part

Pietro Aiena, María Luisa Colasante, Manuel González

Type: Article

Publication Date: 2002-03-12

Citations: 58

DOI: https://doi.org/10.1090/s0002-9939-02-06386-4

Abstract

We find several conditions for the quasi-nilpotent part of a bounded operator acting on a Banach space to be closed. Most of these conditions are established for semi-Fredholm operators or, more generally, for operators which admit a generalized Kato decomposition. For these operators the property of having a closed quasi-nilpotent part is related to the so-called single valued extension property.

Locations

Proceedings of the American Mathematical Society - View - PDF

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