Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1194-1205.
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An Guimei|Hou Jinchuan
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Abstract:
In this paper, we give some structure features of the multiplicative maps and the rank preserving multiplicative maps on matrix algebra Mn(F), where F is a field. By applying these results, we get some characterizations of the multiplicative maps on complex matrix algebras which preserve any one of the spectral radius, numerical radius, numerical range, positivity, self-adjointness, normality and unitarity of matrices.
Key words: Multiplicative maps, Rank, Spectral radius, Normal matrices
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An Guimei|Hou Jinchuan. Multiplication-Preserving Maps On Matrix Algebras[J].Acta mathematica scientia,Series A, 2008, 28(6): 1194-1205.
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http://121.43.60.238/sxwlxbA/EN/Y2008/V28/I6/1194
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