Geodesic
A general differentiation theorem for multiparameter additive processes
Ryotaro Sato1
1 Department of Mathematics Faculty of Science Okayama University Okayama, 700-8530 Japan
Colloquium Mathematicum, Tome 91 (2002) no. 1, pp. 143-155.

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

Let $(L,\| \cdot \| _{L})$ be a Banach lattice of equivalence classes of real-valued measurable functions on a $\sigma $-finite measure space and $T=\{ T(u):u=(u_{1}, \dots,u_{d})$, $u_{i}>0$, $1\leq i\leq d\} $ be a strongly continuous locally bounded $d$-dimensional semigroup of positive linear operators on $L$. Under suitable conditions on the Banach lattice $L$ we prove a general differentiation theorem for locally bounded $d$-dimensional processes in $L$ which are additive with respect to the semigroup $T$.
DOI : 10.4064/cm91-1-10
Keywords: cdot banach lattice equivalence classes real valued measurable functions sigma finite measure space dots leq leq strongly continuous locally bounded d dimensional semigroup positive linear operators under suitable conditions banach lattice prove general differentiation theorem locally bounded d dimensional processes which additive respect semigroup

Ryotaro Sato 1

1 Department of Mathematics Faculty of Science Okayama University Okayama, 700-8530 Japan 
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Ryotaro Sato. A general differentiation theorem
for multiparameter additive processes. Colloquium Mathematicum, Tome 91 (2002) no. 1, pp. 143-155. doi : 10.4064/cm91-1-10. http://geodesic.mathdoc.fr/articles/10.4064/cm91-1-10/

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