Banach空间中的有界弱拓扑与局部凸性

The Bounded Weak Topology and Locally Convex of Banach Spaces

讨论Banach空间上的有界弱拓扑，证明了Banach空间上的有界弱拓扑为局部凸拓扑的充分必要条件是：Banach空间为自反的．

In this paper We discussed bounded weak topology of the Banach spaces. We show that bounded weak topology of the Banach spaces is locally convex if and only if the Banach spaces is reflexive.