摘要
引入了一种新的滴状性质 ,关于局部凸空间中有界闭凸集的拟弱滴状性质 ,利用Rolewicz所引进的流动序列 ,给出了Frechet空间中有界闭凸集的拟弱滴状性质的特征 由此 ,证明了拟弱滴状性质等价于弱紧性 这样 。
We introduce a new drop property,the quasi-weak drop property for closed bounded convex sets in locally convex spaces.Using streaming sequences introduced by Rolewicz,we give a characterisation of the quasi-weak drop property for closed bounded convex sets in Frechet spaces.From this,we prove that the quasi-weak drop property is equivalent to weak compactness.Thus a Frechet space is reflexive if and only if every closed bounded convex set in the space has the quasi-weak drop property.
出处
《苏州大学学报（自然科学版）》
CAS
2002年第1期112-115,共4页
Journal of Soochow University(Natural Science Edition)
