非局部凸拓扑线性空间中的Hahn Banach延拓性

Hahn-Banach Extension Property on Non Locally Convex Topological Linear Spaces

1 序 众所周知,Hahn（1926）和Banach（1929）曾经在赋范空间中给出过一个十分重要的有关连续线性泛函的延拓定理: H.-B.定理 设X为赋范空间,X0为X的一个线性子空间,那么。

In this paper, we introduce some conditions which makes the non locally convex topological linear space to have the Hahn-Banach extension property. In particular, we introduce some characters of subspace in (1β) ,0<β<1, which has Hahn-Banach property.