本文讨论了平均逼近，给出了四个定理，是对存在定理、特征定理，唯一性定理的补充。
This paper discusses average approximation and proposes four theorems which are the supplement for existence theorem, characteristic theorem and solitariness theorem.
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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