Iterates and invariant measures for Markov operators (Q2051422)

The iterates of Markov operators are studied in ergodic theory as well as in approximation theory. The authors investigate the limit of \(S^m,(m\to \infty)\) for Markov operators \(S\) of a special form occurring often in approximation theory. In relation with the iterates, the fixed points and the invariant probability measures of \(S\) are determined. Several examples illustrate the general results.