UNIFORMLY ERGODIC THEOREM AND FINITE CHAIN LENGTH FOR MULTIOPERATORS
The main purpose of this paper is to extend the technical assumption (E−k) of [7] to multioperators. We give necessary and sufficient conditions for uniform ergodicity of a commuting multioperator satisfying the condition (E − k). Those results are of interest in view of analogous results for valued operators established in [7] and in view of recent activity in the ergodic theory and its applications (see, for example [8]).