摘要
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.并给出了一个关于唯一性的降维定理.
In this paper the author introduces the definition of the best approximation in topological vector spaces by use of continuous linear functionals. And then, he obtains the theorem of characterization of the best approximation, the theorem of existence and the theorem of uniquence Finally, the authos gives a theorem of dimension-decrease about uniquence.
出处
《上海第二工业大学学报》
1991年第1期1-8,共8页
Journal of Shanghai Polytechnic University
