拓扑线性空间的局部双序凸性，是该空间上连续线性泛函实现双序正分解的基础。
The Local biorder-convexity is a base of the biordering positive decomposition of linear functionals.
本文利用拓扑矢量空间中的连续线性泛函导入最佳逼近定义，给出了最佳逼近元的特征定理、存在性定理和唯一性定理。
In this paper the author introduces the definition of the best approximation in topological vector Spaces by use of continuous linear functionals.
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