The Existence of Maximal w~*-closed Submodules in Nest Algebra Modules

被引：0

作者：

Zhe DONG ^{[1
]}

机构：

[1] Department of Mathematics,Zhejiang University

来源：

ActaMathematicaSinica(EnglishSeries) | 2007年 / 23卷 / 02期

基金：

中国国家自然科学基金; 浙江省自然科学基金;

关键词：

finite-partition submodule; finite rank operator; w~*-closure;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

Using the technique of annihilators,we characterize the w~*-closure of the finite-partitionsubmodule R(N,～)of a weakly closed nest algebra module u completely;and by virtue of thischaracterization,we obtain a sufficient and necessary condition for u to have a maximal w~*-closedsubmodule.

引用

页码：193 / 200

页数：8

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