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| S(Hn)上的满数值半径等距 | |
| 引用本文： | 李兵,夏爱生,胡宝安. S(Hn)上的满数值半径等距[J]. 数学杂志, 2014, 34(6): 1044-1058 |
| 作者姓名： | 李兵 夏爱生 胡宝安 |
| 作者单位： | 军事交通学院基础部, 天津 300161,军事交通学院基础部, 天津 300161,军事交通学院基础部, 天津 300161 |
| 基金项目： | Supported by National Natural Science Foundation of China(10671182). |
| 摘 要： | 本文研究了矩阵空间到自身的满数值半径等距问题. 利用等距嵌入方法, 获得了自共轭矩阵空间单位球面到自身的满数值半径等距可实线性延拓至全空间上的满数值半径等距, 为Tingley等距延拓问题提供了一种方法. |
| 关 键 词： | 数值域 数值半径 等距 |
| 收稿时间： | 2012-07-19 |
| 修稿时间： | 2013-09-05 |
SURJECTIVE NUMERICAL RADIUS ISOMETRY ON S(Hn) |
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| LI Bing,XIA Ai-sheng and HU Bao-an. SURJECTIVE NUMERICAL RADIUS ISOMETRY ON S(Hn)[J]. Journal of Mathematics, 2014, 34(6): 1044-1058 | |
| Authors: | LI Bing XIA Ai-sheng HU Bao-an |
| Affiliation: | General Courses Department, Military Transportation University, Tianjin 300161, China,General Courses Department, Military Transportation University, Tianjin 300161, China and General Courses Department, Military Transportation University, Tianjin 300161, China |
| Abstract: | In this article, we study the numerical radius isometry on matrix spaces. By using isometric embedding, we obtain surjective numerical radius isometry from the unit sphere of self-adjoint matrix space onto itself can be real-linear extended to the whole space, and give a method of Tingley isometric extension problem. |
| Keywords: | numerical range numerical radius isometry |
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