Decomposability of Finite Rank Operators in Lie Ideals of Nest Algebras

被引：0
作者：
Chaoqun Chen
Fangyan Lu
机构：
[1] Soochow University,Department of Mathematics
来源：
Integral Equations and Operator Theory | 2015年 / 81卷
关键词：
Decomposability; Lie ideal; Nest algebra; Rank one operator; Primary 47L35;
D O I：
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中图分类号：
学科分类号：
摘要：
A set of operators is said to be decomposable if each finite rank operator in it can be written as a sum of finitely many rank-1 operators in it. In this note, we establish a sufficient and necessary condition on the nest such that each closed Lie ideal in the associated nest algebra is decomposable.
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页码：427 / 434
页数：7
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