Maps preserving sums of triple products on ∗-algebras

Let A and B be two unital complex & lowast;-algebras. This paper is concerned with characterizations of bijective maps Phi :A -> B preserving sum of triple products alpha(1)abc+alpha(2)a(& lowast;)cb(& lowast;)+alpha(3)bac + alpha(4)ca(& lowast;)b(& lowast; )+ alpha(5)bca + alpha(6)cb(& lowast;)a(& lowast;), where the scalars{alpha(k)}(6)(k=1)are complex numbers satisfying some conditions. As a consequence, maps preserving mixed product, of Jordan eta-product and Jordan nu-& lowast;-product, where eta and nu are two nonzero complex numbers, are also characterized.