Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices

Xiaoning Hao, Pengxiang Ren, Runling An

Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China.

DOI: 10.4236/alamt.2013.32003                

Abstract

In this paper, we show that if an injective map on symmetric matrices S_n(C) satisfies
then for all , where f is an injective homomorphism on C, S is a complex orthogonal matrix and A_f is the image of A under f applied entrywise.

Keywords

Symmetric Matrices; Orthogonal Matrix; Jordan Homomorphism

Conflicts of Interest

The authors declare no conflicts of interest.

References

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