节点文献
Banach空间中的非空闭凸集
Non-vacuous Closed Convex Set in Banach Space
【摘要】 证明了对有 Schauder基的无限维 Banach空间中存在非空闭凸集 int A=且 A不可共支撑的重要结论 ,并提出了一些更重要的相关问题 ,研究了新旧问题间的联系 .
【Abstract】 The author prove that there exists a non-empty closed convex set A in infinite Banach space with schauder base, int A=φ and A isn′t a Co-Supported set, and pose some new problems. Which problems are related with theory of function analysis, conver analysis, optinization and coplementary problem.
【关键词】 Schauder基;
可分Banach空间;
共支撑;
【Key words】 Schauder base; separable Banach space; Co-Supported set;
【Key words】 Schauder base; separable Banach space; Co-Supported set;
- 【文献出处】 数学的实践与认识 ,Mathematics In Practice and Theory , 编辑部邮箱 ,2004年06期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】107