ON STRONGLY CONTINUOUS ONE-PARAMETER GROUPS OF AUTOMORPHISMS

We prove structure theorems for strongly continuous one-parameter groups formed by surjective linear isometries of spaces of bounded N-linear functionals over strictly convex complex Banach spaces. Complete description is given in the case of Hilbert-equivalent norms on the basis of probability arguments. As a consequence, we classify the strongly continuous one-parameter automorphism groups of all infinite-dimensional Cartan factors of Jordan theory.