| 实四元数自共轭矩阵空间保逆的线性算子(英文) |
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| 引用本文： | 刘佳,曹重光. 实四元数自共轭矩阵空间保逆的线性算子(英文)[J]. 高师理科学刊, 2010, 30(6): 4-6. DOI: 10.3969/j.issn.1007-9831.2010.06.002 |
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| 作者姓名： | 刘佳 曹重光 |
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| 作者单位： | [1]哈尔滨师范大学数学系,黑龙江哈尔滨150080 [2]黑龙江大学数学系,黑龙江哈尔滨150080 |
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| 基金项目： | Nation science foundation of China（10671026） |
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| 摘 要： | 设R,Q分别表示实数域、实四元数体.Mn(Q),SCn(Q)分别为Q上n×n全矩阵R-空间和n×n自共轭矩阵R-空间.设L为保逆算子且N-1(SCn(Q),Mn(Q))表示从SCn(Q)到Mn(Q)所有保逆算子全体.研究了保逆算子L的性质,给出了L的结构.
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| 关 键 词： | 实四元数 除环 保逆算子 自共轭矩阵 |
Inverse preserving maps on real quaternion self-conjugate matrix space |
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| LIU Jia,CAO Chong-guang. Inverse preserving maps on real quaternion self-conjugate matrix space[J]. Journal of Science of Teachers＇College and University, 2010, 30(6): 4-6. DOI: 10.3969/j.issn.1007-9831.2010.06.002 |
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| Authors: | LIU Jia CAO Chong-guang |
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| Affiliation: | 1.Department of Mathematics,Harbin Normal University,Harbin 150080,China; 2.Department of Mathematics,Heilongjiang University,Harbin 150080,China) |
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| Abstract: | Suppose R and Q are the field of all real numbers and the real quaternion division ring respectively.Let Mn(Q) and SC(Q) be R-linear space of all n×n matrices and the set of all n×n self-conjugate matrices over Q respectively.Supposeis an inverse preserver and N-1(SCn(Q),Mn(Q))denotes the set of inverse preservers from SCn(Q)to Mn(Q).Researched the characterization of above L,gave the forms of of L. |
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| Keywords: | real quaternion division ring inverse preserver self-conjugate matrix |
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