Nonlinear maps preserving the Jordan triple ∗-product between factors

Let A and B be two factors. For A,B∈A, define by A
- B=AB+BA∗ the Jordan ∗-product of A and B. In this paper, it is proved that a not necessarily linear bijective map Φ:A→B satisfies Φ(A
- B
- C)=Φ(A)
- Φ(B)
- Φ(C) for all A,B,C∈A if and only if Φ is a linear ∗-isomorphism, or a conjugate linear ∗-isomorphism, or the negative of a linear ∗-isomorphism, or the negative of a conjugate linear ∗-isomorphism.