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Théorème ergodique pour les opérateurs positifs à moyennes bornées sur les espaces Lp(1 < p < ∞)

Published online by Cambridge University Press:  19 September 2008

Antoine Brunel
Antoine Brunel
Affiliation:
Laboratoire de Probabilités, Université Pierre et Marie Curie, 4, Place Jussieu, Tour 56, 3ème Etage, 75252 Paris Cedex 05, France
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Abstract

The main result is a dominated ergodic theorem for a linear positive operator T on Lp(1 > p > ∞); the theorem holds if, and only if, T is Cesaro-bounded.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 2 , June 1992 , pp. 195 - 207
Copyright
Copyright © Cambridge University Press 1992

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References

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