Banach空间中的非空闭凸集  

Non-vacuous Closed Convex Set in Banach Space

作　　者：白随平[1] 张树斌[1] 姚立[1] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061

出　　处：《数学的实践与认识》2004年第6期162-165,共4页Mathematics in Practice and Theory

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 .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：Sehauder基 可分BANACH空间 共支撑 非空闭凸集 

分 类 号：O177[理学—数学]