Geodesic
Dilations of one Parameter Semigroups of Positive Contractions on Lp Spaces
Canadian journal of mathematics, Tome 49 (1997) no. 4, pp. 736-748

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

It is proved in this note, that a strongly continuous semigroup of (sub)positive contractions acting on an Lp -space, for 1 < p < ∞ p ≠ 2, can be dilated by a strongly continuous group of (sub)positive isometries in a manner analogous to the dilation M. A. Akçoglu and L. Sucheston constructed for a discrete semigroup of (sub)positive contractions. From this an improvement of a von Neumann type estimation, due to R. R.Coifman and G.Weiss, on the transfer map belonging to the semigroup is deduced.
DOI : 10.4153/CJM-1997-036-x
Mots-clés : 47D03, 22D12, 43A22 
Fendler, Gero. Dilations of one Parameter Semigroups of Positive Contractions on Lp Spaces. Canadian journal of mathematics, Tome 49 (1997) no. 4, pp. 736-748. doi: 10.4153/CJM-1997-036-x
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