2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59216We prove that every 2-local automorphism of the unitary group or the general linear group on a complex infinite-dimensional separable Hilbert space is an automorphism. Thus these types of transformations are completely determined by their local actions on the two-points subsets of the groups in question.9 pages. To appear in Expo. MathOperator Algebrastext