Vol. 47, No. 1, 1973

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Abel-ergodic theorems for subsequences

Ryōtarō Satō

Vol. 47 (1973), No. 1, 233–242
Abstract

Let T be a positive linear contraction on an L1-space and k1,k2, an increasing sequence of positive integers. In this paper the almost everywhere convergence of Abel averages i=1rkiTkif∕i=1rki for the sequence k1,k2, as r 1 is investigated.

Mathematical Subject Classification 2000
Primary: 28A65
Secondary: 47A35
Milestones
Received: 10 March 1972
Published: 1 July 1973
Authors
Ryōtarō Satō