| 四元数体上Hermitian矩阵空间保秩1的加法映射 |
| |
| 引用本文： | 韩敬稳,郑宝东.四元数体上Hermitian矩阵空间保秩1的加法映射[J].数学季刊,2007,22(4):482-491. |
| |
| 作者姓名： | 韩敬稳 郑宝东 |
| |
| 作者单位： | 1.Department of Mathematics，Tianjin University of Finance and Economics，Tianfin 300222，China;2.Department of Mathematics，Harbin Institute of Technology，Harbin 150001，China |
| |
| 摘 要： | Let Q be the quaternion division algebra over real field F.Denote by H_n(Q)the set of all n×n hermitian matrices over Q.We characterize the additive maps from H_n(Q) into H_m(Q)that preserve rank-1 matrices when the rank of the image of I_n is equal to n. Let Q_R be the quaternion division algebra over the field of real number R.The additive maps from H_n(Q_R) into H_m(Q_R)that preserve rank-1 matrices are also given.
|
| 关 键 词： | 四元除法代数 加性映射 厄密共轭矩阵 秩 |
| 文章编号： | 1002-0462（2007）04-0482-10 |
| 收稿时间： | 2006-09-18 |
| 修稿时间： | 2006年9月18日 |
Additive Rank-1 Preservers Between Hermitian Matrix Spaces Over Quaternion Division Algebra |
| |
| HAN Jing-wen,ZHENG Bao-dong.Additive Rank-1 Preservers Between Hermitian Matrix Spaces Over Quaternion Division Algebra[J].Chinese Quarterly Journal of Mathematics,2007,22(4):482-491. |
| |
| Authors: | HAN Jing-wen ZHENG Bao-dong |
| |
| Abstract: | |
| |
| Keywords: | additive map quaternion division algebra Hermitian matrix rank |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
