2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128764This note concerns uniform equicontinuity of families of operators on a separable Hilbert space H, and of families of maps on B(H). It is shown that a one parameter group of automorphisms is uniformly equicontinuous if and only if the group of unitaries which implements it is so. A "geometrical" necessary and sufficient condition is given for a family of operators to be uniformly equicontinuous.8 pages, typos correctedFunctional AnalysisOperator Algebras46C05; 46L05text