On some classes of Lototsky-Schnabl operators


We study a sequence ( L<sub>n</sub>)_{n∈ ℕ} of positive operators associated with a sequence (γ<sub>n</sub>)_{n∈ ℕ} 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∈ ℕ} and of its iterates in connection with the existence of a C0$ - semigroup of positive contractions.

DOI Code: 10.1285/i15900932v12p1

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