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| 正交变换性质的讨论 | |
| 引用本文： | 严家森. 正交变换性质的讨论[J]. 西华师范大学学报(哲学社会科学版), 1994, 15(2): 147-150 |
| 作者姓名： | 严家森 |
| 作者单位： | 四川师范学院数学系 |
| 摘 要： | 讨论了无穷维欧氏空间的正文变换与镜面反射的关系；正交变换、对称变换、对合变换的关系以及ｎ维欧氏空间的正交变换的不变子空间的正交补也是它的不变子空间的性质，在无穷维欧氏空间的情形． |
| 关 键 词： | 正交变换 镜面反射 对称变换 |
ON THE PROPERTIES OF THE ORTHOGONAL TRANSFORMATION |
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| YanJiasen. ON THE PROPERTIES OF THE ORTHOGONAL TRANSFORMATION[J]. Journal of China West Normal University:Natural Science Edition, 1994, 15(2): 147-150 | |
| Authors: | YanJiasen |
| Abstract: | The paper presents a study of the relation between the orthogonal transformation and the reflection transformation on a plane and that between the orthogonal,symmetric and involutory transfor-mations in a infinite-dimensional Euclidean space. The study proves that the invariable subspace of the orthog-onal transformation in the orthogonal complement space is also an invariable subspace in an infinite-dimen-sional Euclidean space. |
| Keywords: | orthogonal transformation reflection transformation on a plane symmetric transfor-mation involutory transformation invariable subspace. |
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