Mean Ergodic Theorems [chapter]

Arkady Tempelman
1992 Ergodic Theorems for Group Actions  
Let T be a bounded linear operator on a Banach space X. Replacing the Cesàro matrix by a regular matrix A = (a nj ) Cohen studied a mean ergodic theorem. In the present paper we extend his result by taking a sequence of in...nite matrices A = (A (i) ) that contains both convergence and almost convergence. This result also yields an A-ergodic decomposition. When T is power bounded we give a characterization for T to be A-ergodic.
doi:10.1007/978-94-017-1460-0_5 fatcat:zg2f2mdlefa3naurbwud6quyam