Nonlinear maps preserving the Jordan triple *-product between factors

作者：Zhao, Fangfang; Li, Changjing^*

来源：Indagationes Mathematicae, 2018, 29(2): 619-627.

DOI：10.1016/j.indag.2017.10.010

• Jordan *-product
• Isomorphism
• Factor

Let A and 8 be two factors. For A, B E A, define by A center dot B = AB + BA* the Jordan *-product of A and B. In this paper, it is proved that a not necessarily linear bijective map Phi : A -> B satisfies Phi(A center dot B center dot C) = Phi(A) center dot Phi(B) center dot Phi(C) for all A, B, C is an element of A if and only if Phi is a linear *-isomorphism, or a conjugate linear *-isomorphism, or the negative of a linear *-isomorphism, or the negative of a conjugate linear *-isomorphism.

• 出版日期2018-4
• 单位山东师范大学