拓扑向量空间中实齐性连续函数的延拓定理

The Extension Theorem of Continuous Homogeneous Functions in Real Topological Vector Spaces

得到如下结果 :在有限维具 T0 公理的拓扑向量空间中 。

In this paper, we get the result: If X is a topological vector space with dimE=n, and F is a bounded closed subset without zero vector in X then every continuous, homogeneous function defined on F can be extended to (a continuous, homogeneous function) whole X.