## Abstract

Let T and S be commuting Markovian operators on L1(X). We prove that when the operators are mean ergodic and {F(m,n)} is a directionally (T, S)- superadditive dominated process, then the “averages” n

−2F(n,n) converge in L1-norm. If, further, the process is strongly superadditive, then the same averages converge a.e.as well.

−2F(n,n) converge in L1-norm. If, further, the process is strongly superadditive, then the same averages converge a.e.as well.

Original language | English |
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Pages (from-to) | 173-187 |

Journal | Probability and Mathematical Statistics |

Volume | 23 |

State | Published - 1 Jan 2003 |