| 子空间正交与反对称张量空间中可合元素的关系 |
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| 引用本文： | 朱忠南.子空间正交与反对称张量空间中可合元素的关系[J].南京大学学报(自然科学版),1988(4). |
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| 作者姓名： | 朱忠南 |
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| 作者单位： | 南京大学江苏教育学院 |
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| 摘 要： | 本文应用由可合元素的Plucker坐标表示相应子空间的方法、讨论子空间正交与可合元素的关系,改进了文1]中关于子空间正交的充分条件。在此基础上,得到了酉空间中两个生成子空间互为正交补空间的充要条件及其若干推论。
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| 关 键 词： | 可合元素 Pl(?)cker 坐标 相应子空间 |
THE RELATIONSHIP BETWEEN ORTHOGONAL SUBSPACES AND DECOMPOSABLE TENSORS IN GRASSMANN SPACE |
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| Zhu Zhongnan.THE RELATIONSHIP BETWEEN ORTHOGONAL SUBSPACES AND DECOMPOSABLE TENSORS IN GRASSMANN SPACE[J].Journal of Nanjing University: Nat Sci Ed,1988(4). |
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| Authors: | Zhu Zhongnan |
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| Institution: | Jiangsu Institute of Education |
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| Abstract: | In this paper, the author employs the method of representation by corresponding subspaces with Plucker coordinates of decomposable tensors, studies the relationship between orthogonal subspaces and decomposable tensors, and improves the sufficient conditions related to orthogonal subspaces in article1]. Besides, the author gives the necessary and sufficient conditions for the two generating subspaces to be orthogonal complement spaces in a unitary space and certain corollaries. |
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| Keywords: | Decomposable Element Pl(?)cker Coordinate of Decomposable Tensor Corresponding Sabspace |
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