一类二阶四元数方阵保左谱的线性映射表示Linear Maps Preserving Left Spectrum of 2 × 2Quaternion Matrices
袁庚
摘要(Abstract)：
设Q表示四元数集合,Mn(Q)表示n×n四元数矩阵的集合.对于四元数右线性映射Φ(A)=UAU-1或Φ(A)=UATU-1:M2(Q)→M2(Q),若σlΦ[(A)]=σl(A),则四元数酉阵U是实数矩阵.
关键词(KeyWords)： 四元数方阵;保左谱;线性映射
基金项目(Foundation):
作者(Author): 袁庚
DOI: 10.16393/j.cnki.37-1436/z.2015.02.002
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