2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33415The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a ``reference'' subharmonic operator bounded from below by the dissipative part of the infinitesimal generator. We discuss applications of this criteria in mathematical physics and quantum probability.22 pages, TeXFunctional AnalysisOperator Algebrastext