  There are two definitions of the measurable functional on the topological
vector space: as a linear and measurable real-valued function and as a
pointwise limit of the sequence of the continious linear functionals. In
general case they are not equivalent, but in some cases it is so, for example,
in the case of gaussian measures. There is one natural generalization of the
gaussian measures - the convex measures. In this paper this equivalence was
proved for the some classes of convex measures.
