Jordan Semi-Triple Multiplicative Maps on the Hermitian Matrices
Received:October 27, 2010  Revised:April 28, 2011
Key Words: Hermitian matrices   Jordan semi-triple multiplicative map   Jordan ring isomorphism.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11001194; 10771157) and the Natural Science Foundation of Shanxi Province (Grant No.2009021002).
Author NameAffiliation
Si Qing YAN Department of Mathematics, Taiyuan University of Technology, Shanxi 030024, P. R. China 
Run Ling AN Department of Mathematics, Taiyuan University of Technology, Shanxi 030024, P. R. China 
Jin Chuan HOU Department of Mathematics, Taiyuan University of Technology, Shanxi 030024, P. R. China 
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Abstract:
      In this paper, we show that every injective Jordan semi-triple multiplicative map on the Hermitian matrices must be surjective, and hence is a Jordan ring isomorphism.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.06.021
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