CONTINUOUS MAPS PRESERVING JORDAN TRIPLE PRODUCTS FROM GL n (C) INTO C

Let GL (C) be a complex general linear group. In this paper we present some general results on Jordan triple product maps between GL n n (C) and GL (C). The result is applied to determine the structure of Jordan triple product maps between GL n (C) and GL 1 (C) ∼ = C ∗ m . As a main result we present the general form of all continuous Jordan triple product maps from the group GL n (C) to the group C ∗ .