弱闭与*弱闭等价的一个充分条件

A sufficient condition for the equivalence of weak close and * weak close

引入赋范线性空间的一种性质,得到对偶空间中弱闭与＊弱闭等价的一个充分条件,并研究具有这种性质的赋范线性空间的对偶空间中凸集的最佳逼近元存在性问题。

A sufficient condition for the equivalence of weak close and * weak close in the dual space of normal linear space is obtained by introducing a property of normal linear space, and the best approximation element existence problem of convex set in the dual space of normal linear space having this property is studied.