A NOTE OF MULTIPLICATIVE MAPS ON MATRICES THAT PRESERVE THE SPECTRUM

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Zhang XianDeptof MathHeilongjiang UniversityHarbin PRC [150080 ]
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O241 [数值分析];
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<正> Let U_n(C),GL_n(C) and M_n(C) be the n-degree unitary group,then n-degree generallinear group and the semigroups of all n×n matrices over complex number field C respec-tively.Hochwald in [1] showed that if f:U_n(C)→M_n(C) is a spectrum-preserving multi-plicative map,then there exists a matrix R in GL_n(C)such that f(A)=R-1AR for all A∈
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页码:35 / 37
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