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.

引用

页码：2701 / 2710

页数：10

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