2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75198We determine the optimal orders for the best constants in the non-commutative Burkholder-Gundy, Doob and Stein inequalities obtained recently in the non-commutative martingale theory.Operator AlgebrasFunctional AnalysisProbability46L53, 46L51On the best constants in some non-commutative martingale inequalitiestext