线性泛函序列的收敛和相应的特征超平面序列的收敛

On Convergence of Linear Functionals and Convergence of Corresponding Characteristic Hyperplanes

在本文中，我们讨论赋范线性空间中连续线性泛函序列和相应的特征超平面序列的几种不同类型的收敛性之间的关系．从而得到连续线性泛函序列的几种收敛性的几何特征。

In this paper. we discuss the relationship between various types of convergence for sequences of continuous linear functionals and corresponding characteristic hyperplanes in a normed linear space, and so obtain geometric characterizations of various convergences of a sequence of continuous linear functionals.