2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65057It is shown that every set I(m) of Banach lattices of measurable functions defined on a measure space (Q,S,m), equipped with a some natural ordering became a modular lattice, which is Dedekind complete provided m is a probability measure. Moreover, some natural operations on considered spaces are in Galois connexion.Latex2e, corrected versionFunctional Analysis46E30, 46B70 (Primary) 46B10, 46B20 (Secondary)text