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

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

来源 :西南交通大学学报：英文版 | 被引量 : 0次 | 上传用户：lijie041132

【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

【作 者】

：

陈滋利 

【机 构】

：

SchoolofScience

【出 处】

：

西南交通大学学报：英文版

【发表日期】

：

2005年2期

【关键词】

：

线性范围 数学 巴拿赫格 代数 Banach lattice  Dcdekind complete  Compact operator  Riesz separ 

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论文部分内容阅读

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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