2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217873the main goal of this paper is to prove that any Banach space X, that every dual ball in X** is weak* -separable, or every weak* -closed convex subset in X** is weak* -separable, or every norm-closed convex set in X* is constructible, admits an equivalent Frechet differentiable norm.5 pagesFunctional Analysis46B20text