| 有限维欧氏空间上线性映射的广义逆 |
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| 引用本文： | 钱莉. 有限维欧氏空间上线性映射的广义逆[J]. 湖州师专学报, 2011, 0(1): 54-57 |
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| 作者姓名： | 钱莉 |
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| 作者单位： | 湖州师范学院理学院,浙江湖州313000 |
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| 基金项目： | 浙江省新世纪教改项目（yb07109,ZC09063）;湖州师范学院教改重点项目（08JY006）. |
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| 摘 要： | 线性映射和广义逆是高等代数很重要的研究对象．线性变换的广义逆被普遍研究，而线性映射的广义逆性质研究地很少．应用共轭映射的性质，给出了欧式空间商线性映射的广义逆的定义，并研究它的若干性质。这些性质对学生的学习有一定的帮助作用．
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| 关 键 词： | 线性映射 广义逆 欧氏空间 |
Generalized Inverse of Linear Mapping in Euclidean Space |
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| QIAN Li. Generalized Inverse of Linear Mapping in Euclidean Space[J]. , 2011, 0(1): 54-57 |
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| Authors: | QIAN Li |
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| Affiliation: | QIAN Li (Faculty of Science, Huzhou Teachers College, Huzhou 313000, China) |
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| Abstract: | Linear maps and generalized inverses are very important objects in Higher Algebra. Some prop- erties of generalized inverses of linear translations are studied in many papers. However, there are few researches about generalized inverses of linear maps~ With the conjugation of matrices, we give the defi- nition of the generalized inverse of a linear mapping in Euclidean Space and study its some properties. They can help for study and applications of matrix theories. |
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| Keywords: | linear mapping generalized inverse Euclidean Space |
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