| n维实线性空间上的内积和广义内积 |
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| 引用本文： | 张景晓,孔淑霞,韩忠月.n维实线性空间上的内积和广义内积[J].德州学院学报,2005,21(6):53-55. |
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| 作者姓名： | 张景晓 孔淑霞 韩忠月 |
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| 作者单位： | 德州学院数学系,山东,德州,253023 |
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| 摘 要： | 证明了任意n维实线性空间V上都可定义无穷多个不同的内积,使其构成欧氏空间,且每个内积都可由1/2n(n 1)个基本内积线性表出1].
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| 关 键 词： | 广义欧氏空间 广义内积 基本内积 |
| 文章编号： | 1004-9444（2005）06-0053-03 |
| 收稿时间： | 2005-03-24 |
| 修稿时间： | 2005-06-15 |
Interior Product and Generalized Interior Product on n-dimensional Real Linear Space |
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| ZHANG Jin-xiao,KONG Shu-xia,HAN Zhong-yue.Interior Product and Generalized Interior Product on n-dimensional Real Linear Space[J].Journal of Dezhou University,2005,21(6):53-55. |
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| Authors: | ZHANG Jin-xiao KONG Shu-xia HAN Zhong-yue |
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| Institution: | Department of Mathematics, Dezhou University, Dezhou Shandong 253023, China |
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| Abstract: | In this paper,It is proved that infinitely many interior product is defined on any n-dimensional real linear space,the interior product make Euclidean space constructed,and each interior product may be expressed linearly by use of 1/2n(n+1) basic interior product. |
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| Keywords: | generalized Euclidean space generalized interior product basic interior product |
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