Remarks on the Riesz Separation Property of the Linear Span of Positive Compact Operators

被引：0
|
作者：
陈滋利
机构：
[1] Chengdu 610031
[2] Southwest Jiaotong University
[3] School of Science
[4] China
来源：
Journal of Southwest Jiaotong University | 2005年 / 02期
关键词：
Banach lattice; Dedekind complete; Compact operator; Riesz separation property;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
It is proven that there exists a Dedekind complete Banach lattice E such that the linear spans Kr(E) and Wr(E) of positive compact and positive weakly compact operators on E fails to possess the Riesz separation property.
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页码：82 / 84
页数：3
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