2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157775We study some factorisation and dilation properties of completely positive maps on noncommutative L^p-spaces. We show that Akcoglu's dilation theorem for positive contractions on classical (=commutative) L^p-spaces has no reasonable analog in the noncommutative setting. Our study relies on non symmetric analogs of Pisier's operator space valued noncommutative L^p-spaces that we investigate in the first part of the paper.To be published in Journal of Functional AnalysisOperator AlgebrasFunctional Analysis46L07, 46L51, 48B28text