Operators which have a closed quasi-nilpotent part

被引：55
作者：
Aiena, P
Colasante, ML
González, M
机构：
[1] Univ Palermo, Fac Ingn, Dipartimento Matemat & Applicaz, I-90128 Palermo, Italy
[2] Univ Los Andes, Fac Ciencias, Dept Matemat, Merida 5101, Venezuela
[3] Univ Cantabria, Fac Ciencias, Dept Matemat, E-39005 Santander, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 09期
关键词：
quasi-nilpotent part; single valued extension property; operators with a generalized Kato decomposition;
D O I：
10.1090/S0002-9939-02-06386-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：2701 / 2710
页数：10
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