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端集的构造与曝点存在的探讨

Structure of extremal sets and approach to existence of exposed points

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【作者】 潘文熙

【Author】 PAN Wen-xi (Dept. of Mathematics, Jinan University, Guangzhou 510632, China)

【机构】 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

【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.

【关键词】 端集仿射包端支承曝点
【Key words】 extremal setaffine hullextremal supportingexposed point
  • 【文献出处】 暨南大学学报(自然科学与医学版) ,Journal of Jinan University(Natural Science & Medicine Edition) , 编辑部邮箱 ,2002年03期
  • 【分类号】O189.11
  • 【下载频次】15
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