二阶矩阵代数上近似保数值域的线性映射
Linear Maps Perturbating the Numerical Range on M_2
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.
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.
出处
《山西师范大学学报（自然科学版）》
2012年第1期14-20,共7页
Journal of Shanxi Normal University(Natural Science Edition)
关键词
矩阵代数
数值域
数值半径
matrix algebra
numerical range
numerical radius
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