Ergodic Type Theorems Via Statistical Convergence

Abstract

In the present paper we obtain some mean ergodic and uniform ergodic type theorems via statistical convergence in a Banach space. We prove, in this case that, the mean ergodic decomposition remains true. We also characterize statistical uniform ergodicity for an operator T is an element of B(X) under the condition st - lim(n )parallel to T-n parallel to/n = 0.