摘要
本文讨论赋范空间X的对偶空间X~*中二凸集的*-隔离性.给出两个充分条件(定理1,定理3).并将其应用于逼近论中,证明了最佳逼近的两个对偶定理.
The *-separability of two convex sets in the dual space X~* of a normed space X is considered. Two sufficient conditions are given (Th 1, Th 3). As application, two dual theorems of best approximation in approximation theory are proved.
出处
《北京师范大学学报（自然科学版）》
CAS
1987年第1期8-12,共5页
Journal of Beijing Normal University(Natural Science)
关键词
赋范空间
对偶空间
凸集
隔离定理
normed space, dual space, convex sets, *-separation theorem.
