Ergodic properties of contraction semigroups in ,
Let be a strongly continuous semigroup of linear contractions in , , of a -finite measure space. In this paper we prove that if there corresponds to each a positive linear contraction in such that for all , then there exists a strongly continuous semigroup of positive linear contractions in such that for all and . Using this and Akcoglu’s dominated ergodic theorem for positive linear contractions in , we also prove multiparameter pointwise ergodic and local ergodic theorems...