2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162052We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.Functional Analysis46A16, 91A05, 91A80A new approach to the Ramsey-type games and the Gowers dichotomy in F-spacestext