Geodesic
A general differentiation theorem for superadditive processes
Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 125-136.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T={$T_t$: t 0} be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.
DOI : 10.4064/cm-83-1-125-136
Keywords: differentiation theorem, superadditive process, absolutely continuous norm, local ergodic theorem, semigroup of positive linear operators, Banach lattice of functions

Ryotaro Sato 1

1 
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Ryotaro Sato. A general differentiation theorem for superadditive processes. Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 125-136. doi : 10.4064/cm-83-1-125-136. http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-125-136/

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