2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62269Using simple operator-valued analytic function considerations several general analytic subordination results for a freely Markovian triple of operator algebras are derived from the analytic subordination result for generalized resolvents in the case of a free increment with amalgamation. This includes a generalization of Biane's subordination result in the case of a unitary free multiplicative increment.6 pagesOperator AlgebrasPrimary 46L54; Secondary 46L53, 30C80text