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保Schur(Fan)积的映射 被引量：1

On preserving Schur(Fan)-product maps
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摘要 运用算子论方法,研究矩阵代数上保Schur(Fan)积的线性满射φ。可以证明,φ是一个置换算子(正(负)置换算子),从而得知,矩阵代数上保Schur积的线性满射是一个置换算子,保Fan积的线性满射是一个正(负)置换算子。 With some methods in operator theory,the linear surjection map on matrix algebras which preserves Schur（Fan）-product is investigated.It can be proved that is a permutation operator（plus（minus） permutation operator）.Thus,preserving Schur-product linear surjection map on matrix algebras is a permutation operator,and preserving Fan-product linear surjection map on matrix algebras is a plus（minus） permutation operator.
作者 张芳娟
机构地区 西安邮电学院理学院
出处 《西安邮电学院学报》 2011年第2期59-61,共3页 Journal of Xi'an Institute of Posts and Telecommunications
基金 国家自然科学基金资助项目(10571114) 陕西省自然科学基础研究计划资助项目(2004A17) 西安邮电学院中青年基金项目(0001245)
关键词 保Schur积 保Fan积 置换算子 preserving Schur-product preserving Fan-product permutation operator
分类号 O177.1 [理学—基础数学]
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参考文献10

  • 1R. V.Kadison, J. R Ringrose. Fundamentals of the theory of operator algebras [M]. Academic Press, INC. , London, 1986.
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同被引文献12

  • 1Kadison R V,Ringrose J R.Fundamentals of the the-ory of operator algebras[M].Academic Press,INC,London,1986:324-340.
  • 2Bresar M,Semrl P.Commutativity preserving linearmaps on central simple algebras[J].Journal of Alge-bra,2005,284(1):102-110.
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  • 10Deng Qun,Ashraf M.On strong commutativity pre-serving maps[J].Results Math,1996,30(1):259-263.

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西安邮电学院学报
2011年 第2期

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