On some classes of Lototsky-Schnabl operators

We study a sequence of positive operators associated with a sequence of real numbers in the unit interval, a lower triangular stochastic matrix P and a positive projection T acting on the space of all continuous functons defined on a convex compact subset of a locally convex Hausdorff space.These operators are particular cases of the so-called Lototsky-Schnabl operators.Under suitable assumptions on(Error rendering LaTeX formula)( Ln)_{n∈ ？}C0$ - semigroup of positive contractions