2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144482This paper gives an overview about particular quasi-entropies, generalized quantum covariances, quantum Fisher informations, skew-informations and their relations. The point is the dependence on operator monotone functions. It is proven that a skew-information is the Hessian of a quasi-entropy. The skew-information and some inequalities are extended to a von Neumann algebra setting.12 pagesFunctional AnalysisMathematical PhysicsStatistics Theory15A63, 47N50, 46L60, 94A17text