| 二阶矩阵代数上近似保数值域的线性映射 |
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| 引用本文： | 孟晓芬,张秀玲.二阶矩阵代数上近似保数值域的线性映射[J].山西师范大学学报,2012(1):14-20. |
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| 作者姓名： | 孟晓芬 张秀玲 |
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| 作者单位： | 太原理工大学数学学院;山西师范大学数学与计算机科学学院 |
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| 摘 要： | 设M2是2×2复矩阵代数,Φ：M2→M2是近似保持数值域的线性满射,那么此映射是＊自同构或＊反自同构的小扰动.
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| 关 键 词： | 矩阵代数 数值域 数值半径 |
Linear Maps Perturbating the Numerical Range on M2 |
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| MENG Xiao-fen,ZHANG Xiu-ling.Linear Maps Perturbating the Numerical Range on M2[J].Journal of Shanxi Teachers University,2012(1):14-20. |
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| Authors: | MENG Xiao-fen ZHANG Xiu-ling |
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| Institution: | 1.Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,Shanxi,China; 2.School of Mathematics and Computer Science,Shanxi Normal University,Linfen 041004,Shanxi,China) |
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| Abstract: | Let M2 be the algebra of 2×2 complex matrices.If a surjective linear map Φ:M2→M2 aproximately preserves the numerical range,then it is a small perturbation of an automorphism or an anti-automorphism. |
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| Keywords: | matrix algebra numerical range numerical radius |
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