2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144489We address the question of a Berry Esseen type theorem for the speed of convergence in a multivariate free central limit theorem. For this, we estimate the difference between the operator-valued Cauchy transforms of the normalized partial sums in an operator-valued free central limit theorem and the Cauchy transform of the limiting operator-valued semicircular element.14 pagesOperator AlgebrasOn the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theoremtext