%0 Journal Article %T Multiplication-Preserving Maps On Matrix Algebras
矩阵代数上的可乘保持映射 %A An Guimei %A Hou Jinchuan %A
安桂梅 %A 侯晋川 %J 数学物理学报(A辑) %D 2008 %I %X 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. %K Multiplicative mapszz %K Rankzz %K Spectral radiuszz %K Normal matriceszz
可乘映射 %K 秩 %K 谱半径 %K 正规矩阵 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=29DC9CA012251F7992B26EB4870E83FD&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=B31275AF3241DB2D&sid=1805714CB338690A&eid=C698B4DF5D56174F&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=12