2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152313For every operator space $X$ the $C^\ast$-algebra containing it in a universal way is residually finite-dimensional (that is, has a separating family of finite-dimensional representations). In particular, the free $C^\ast$-algebra on any normed space so is. This is an extension of an earlier result by Goodearl and Menal, and our short proof is based on a criterion due to Exel and Loring.7 pages, AmS TeX 2.1Functional AnalysisOperator Algebrastext