| 实Hilbert空间中点到无穷余维子空间的距离 |
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| 引用本文： | 罗先发. 实Hilbert空间中点到无穷余维子空间的距离[J]. 吉首大学学报(自然科学版), 1996, 17(2): 32-34 |
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| 作者姓名： | 罗先发 |
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| 作者单位： | 吉首大学数学系!湖南吉首416000 |
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| 摘 要： | 设H是实Hilbert空间，M是可对个连续线性泛函零空间的交，本文得到了点到M或仿射子空间M＋u的最佳逼近元及距离公式。
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| 关 键 词： | 实Hilbert空间 连续线性泛函 最佳逼近元 |
On the Distance from a Point to a Subspace of Infinite Codimension in a Real Hilbert Space |
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| Luo Xianfa. On the Distance from a Point to a Subspace of Infinite Codimension in a Real Hilbert Space[J]. Journal of Jishou University(Natural Science Edition), 1996, 17(2): 32-34 |
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| Authors: | Luo Xianfa |
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| Affiliation: | Department of Mathematics Jishou University 416000 |
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| Abstract: | In this paper,let H is a real Hilbert space,M is the. intersection of the null spaces of countable number ofcontinuous linear functionals on H,we obtain formulas for the element of lest anyfoyimation and the distancefrom a point to M (or M + u,an affine subspace). |
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| Keywords: | Real Hilbert space Continuous linear functional Elements of best approximation |
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