期刊文献+

M_n(C)上的Jordan半可乘映射 被引量:3

The Jordan-triple maps on M_n(C)
下载PDF
导出
摘要 研究了矩阵代数上的Jordan半可乘映射,证明了矩阵代数上的Jordan半可乘映射具有8种形式,特别在证明第8种形式时,利用双边保Jordan零积映射的研究,进而得到了矩阵代数上的Jordan半可乘映射的刻画. Jordan-triple maps on matrix algebra was studied.Jordan-triple maps on matrix algebra eight forms is proved,especially in the proof of the eighth form using a study of mappings that preserve pairs of operators with Jordan-triple zero product,and then a characterization of Jordan-triple map on matrix algebra is obtained.
作者 高会双 孙燕
出处 《西安工程大学学报》 CAS 2012年第6期811-814,共4页 Journal of Xi’an Polytechnic University
基金 内蒙古自治区自然科学基金资助项目(2010MS0119)
关键词 矩阵代数 Jordan半可乘映射 matrix algebra rank Jordan-triple map
  • 相关文献

参考文献10

二级参考文献50

  • 1Soon-Mo JUNG.On an Asymptotic Behavior of Exponential Functional Equation[J].Acta Mathematica Sinica,English Series,2006,22(2):583-586. 被引量:4
  • 2冯珊,张建华.Von Neumann代数中套子代数上Jordan映射的可加性[J].西安文理学院学报(自然科学版),2006,9(2):29-32. 被引量:2
  • 3MONLAR L. Jordan maps on standard operator algebras [J]. Functional Equations Results and Advances, 2001,35 : 386-389.
  • 4LING Z,LU F. Jordan maps of nest algebras [J]. Linear Algebra and Applic,2004,387:361-368.
  • 5BRESAR M. Jordan mappings of semiprime rings. [J]. Linear Algeb and Applic,1989,127:218-228.
  • 6DAVIDSON K R. Nest Algebras[M]. Burnt Mill Harlow : Longman Scientific,1988.
  • 7LU F-Y. Jordan triple maps[J]. Linear Algebra Appl, 2003,375 : 311-317.
  • 8BRESAR M,SEMRL P. Elementary operators[J]. Proc Roy Edinburgh:Sect A,1999,129:1 115-1 135.
  • 9MOLNAR L,SEMRL P. Elementary operators on stand operator algebras[ J]. Linear and Muhilinear Algebra, 2002,.50:315-319.
  • 10LI P,JING W. Jordan elementary maps on rings[J]. Linear Algebra Appl, 2004,382:237-245.

共引文献13

同被引文献18

  • 1AN RUNLING,HOU JINCHUAN.CHARACTERIZATIONS OF JORDAN (?)-SKEW MULTIPLICATIVE MAPS ON OPERATOR ALGEBRAS OF INDEFINITE INNER PRODUCT SPACES[J].Chinese Annals of Mathematics,Series B,2005,26(4):569-582. 被引量:2
  • 2L. Moln6r. Jordan maps on standard operator algebras [ M ]. Dordrecht:Kluwer Academic Publisher,2002.
  • 3Fangyan Lu. Jordan triple maps[J]. Lin. Alg. Appl. ,2003,375:311 -317.
  • 4R-An, J-Hou. Additivity of Jordan muhiplieative maps on Jordan operator Algebras [ J ]. Taiwan Residents. J. Math. ,2006,10 (1) :45 - 64.
  • 5L. Molnhr. Muliplicative Jordan triple isomorphism on the self adjoint dements of yon Neumann algebras[J].Lin. Alg. Appl. ,2006,419:586 - 600.
  • 6Gorazd Legnjak, Nung-Sing Sze. On injective Jordan semi-triple maps of matrix algebras [J]. Lin. Alg. Appl. ,2003,375 : 311 - 317.
  • 7Huishuang Gao. * -Jordan-triple multiplicative surjective maps on B(H) [J]. J. Math. Anal. Appl. ,2013,401 (1) :397 -403.
  • 8M. Doboviek, B,. Kuzma, G. Lejak, et al. Mappings that preserve pairs of operators with zero triple Jordan product [ J ]. Lin. Alg. Appl. , 2007 426:255 - 279.
  • 9J. Zhang, W. Yu. Jordan derivations of triangular algebras [J]. Lin. Alg. Appl. ,2006,419 : 251 - 255.
  • 10P. S. Ji. Jordan maps on triangular algebras[ J]. Lin. Alg. Appl. ,2007,426:190 - 198.

引证文献3

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部