| 拓扑矢量空间中的最佳逼近 |
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| 引用本文： | 谢伟如.拓扑矢量空间中的最佳逼近[J].上海第二工业大学学报,1991,8(1):1-8. |
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| 作者姓名： | 谢伟如 |
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| 作者单位： | 上海第二工业大学应用数学系 |
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| 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.
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| 关 键 词： | 拓扑矢量空间 最佳逼近 线性泛函 |
The Best Approximation in Topological Vector Spaces |
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| Xie Weiru.The Best Approximation in Topological Vector Spaces[J].Journal of Shanghai Second Polytechnic University,1991,8(1):1-8. |
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| Authors: | Xie Weiru |
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| Affiliation: | Department of Applied Math |
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| Abstract: | 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. |
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| Keywords: | topological vector spaces approximation |
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