Geodesic
A Pointwise Ergodic Theorem in Lp -Spaces
Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1075-1082

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a measure space and the usual Banach spaces. A linear operator T : Lp → Lp is called a positive contraction if it transforms non-negative functions into non-negative functions and if its norm is not more than one. The purpose of this note is to show that if 1 < p < ∞ and if T : Lp → Lp is a positive contraction then 
Akcoglu, M. A. A Pointwise Ergodic Theorem in Lp -Spaces. Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1075-1082. doi: 10.4153/CJM-1975-112-7
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