| Banach空间上闭线性子空间强正交可补的充分必要条件 |
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| 引用本文： | 范鹰,马海凤,王玉文.Banach空间上闭线性子空间强正交可补的充分必要条件[J].应用泛函分析学报,2007,9(1):8-11. |
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| 作者姓名： | 范鹰 马海凤 王玉文 |
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| 作者单位： | 1. 哈尔滨学院数学与计算学院,哈尔滨,150086
2. 哈尔滨师范大学数学与计算科学学院,哈尔滨,150080 |
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| 摘 要： | 证明了闭的极大线性子空间是强正交可补的充分必要条件是,空间X是自反严格凸的.
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| 关 键 词： | 极大线性子空间 正交可补 Banach空间 自反严格凸 |
| 文章编号： | 1009-1327（2007）01-0008-04 |
| 修稿时间： | 2005-11-17 |
Necessary and Sufficient Conditions for Every Closed Maximal Linear Subspace to be Strongly Orthogonally Complemented in Banach Spaces |
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| FAN Ying,MA Hai-feng,WANG Yu-wen.Necessary and Sufficient Conditions for Every Closed Maximal Linear Subspace to be Strongly Orthogonally Complemented in Banach Spaces[J].Acta Analysis Functionalis Applicata,2007,9(1):8-11. |
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| Authors: | FAN Ying MA Hai-feng WANG Yu-wen |
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| Institution: | 1. School of Mathematics and Computer Science, Harbin College, Harbin 150086, China 2. School of Mathematics and Computer Science, Harbin Normal University, Harbin 150080, China |
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| Abstract: | We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex. |
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| Keywords: | maximal linear subspace orthogonally complemented Banach space reflexive strict convexity |
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