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Ergodic Properties of Lamperti Operators

Published online by Cambridge University Press:  20 November 2018

Charn-Huen Kan*
Affiliation:
McGill University, Montreal, Quebec
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We shall assume throughout this paper, unless otherwise specified, that p is a fixed number, 1 < p < ∞.

It is well known that to prove the poin.twise ergodic convergence of a contraction T on an Lp-space it is enough to prove a Dominated Ergodic Estimate (DEE) for T (see e.g. [11]).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1978

References

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