On a probabilistic characterization of some classes of locally convex spaces

We prove that for a wide class of locally convex spaces the invertions of well-known theorems proved by R. A. Minlos and V. V. Sazonov are valid. The Muštari's criterion of the existence of necessary and sufficient (in the sence of A. M. Veršik and V. N. Sudakov) topology in a Banach space is generalized also.