关于有界闭凸集上的弱滴性质的注记

A Note on Weak Drop Property for Bounded Closed Convex Sets

证明了“若K是Banach空间X中的有界闭凸集,0∈intK,则K有弱滴性质当且仅当K0有(WS)性质.”从而证明了文[1]中提出的一个问题.

In this paper, we prove that let K be a bounded closed convex subset of Banach space X , then K has the weak drop property if and only if K0 has the property (WS). Hence, the problem in [1] is proved.