有限个闭凸集之并的凸包的闭性问题  

The Closeness of Convex Hull of A Finite Union of Bounded closed Convex Sets

作　　者：闫萍[1] 

机构地区：[1]常熟理工学院数学系,江苏常熟215500

出　　处：《常熟理工学院学报》2006年第6期5-8,共4页Journal of Changshu Institute of Technology

摘　　要：借助可分空间的共轭空间中有界闭球的弱星序列紧性,证明在无穷维数列空间l∞中有限个闭球之并的凸包仍为闭集.In this paper, with the aid of the w^＊ - sequential compactness of bounded closed balls in the conjugate space of a separable space, we proved that the convex hull of a finite union of bounded closed balls in l^∞ is closed.

关 键 词：凸包 闭球 弱星序列紧(闭)集 

分 类 号：O177[理学—数学] O181[理学—基础数学]