| Remarks on the Riesz Separation Property of the Linear Span of Positive Compact Operators |
| |
| 引用本文： | 陈滋利. Remarks on the Riesz Separation Property of the Linear Span of Positive Compact Operators[J]. 西南交通大学学报(英文版), 2005, 13(2): 182-184 |
| |
| 作者姓名： | 陈滋利 |
| |
| 作者单位： | School of Science, Southwest Jiaotong University, Chengdu 610031, China |
| |
| 摘 要： | It is proven that there exists a Dedekind complete Banach lattice E such that the linear spans/f （E） and IV （E） of positive compact and positive weakly compact operators on E fails to possess the Riesz separation property.
|
| 关 键 词： | 线性范围 数学 巴拿赫格 代数 |
| 文章编号： | 1005-2429（2005）02-0182-03 |
| 收稿时间： | 2004-09-17 |
Remarks on the Riesz Separation Property of the Linear Span of Positive Compact Operators |
| |
| Chen Zili. Remarks on the Riesz Separation Property of the Linear Span of Positive Compact Operators[J]. Journal of Southwest Jiaotong University, 2005, 13(2): 182-184 |
| |
| Authors: | Chen Zili |
| |
| Abstract: | 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. |
| |
| Keywords: | Banach lattice Dcdekind complete Compact operator Riesz separation property |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
