| 端集的构造与曝点存在的探讨 |
| |
| 引用本文： | 潘文熙.端集的构造与曝点存在的探讨[J].暨南大学学报,2002,23(3):1-7. |
| |
| 作者姓名： | 潘文熙 |
| |
| 作者单位： | 暨南大学数学系,广东,广州,510632 |
| |
| 摘 要： | 给出闭凸集的端子集结构性定理 .用仿射集支承揭示了端支承仿射集与端集的密切关系 .又探讨了曝点存在性问题 .从面对Krein -Milman关于端点的理论补充了新的内容
|
| 关 键 词： | 端集 仿射包 端支承 曝点 |
| 文章编号： | 1000-9965(2002)03-0001-07 |
| 修稿时间： | 2001年9月21日 |
Structure of extremal sets and approach to existence of exposed points |
| |
| PAN Wen-xi.Structure of extremal sets and approach to existence of exposed points[J].Journal of Jinan University(Natural Science & Medicine Edition),2002,23(3):1-7. |
| |
| Authors: | PAN Wen-xi |
| |
| Abstract: | The structural theorem of extremal subsets of a closed convex set is given. The closed relation of extremal supporting and extremal sets is given by using affine set supporting. Also an approach on the existence problem of exposed points in many subsets is presented. So, the well-known extreme point theory due to Krein-Milman has been supplied. |
| |
| Keywords: | extremal set affine hull extremal supporting exposed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
