2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62996We obtain sharp approximation results for into nearisometries between Lp spaces and nearisometries into a Hilbert space. Our main theorem is the optimal approximation result for nearsurjective nearisometries between general Banach spaces.11 pagesFunctional Analysis46B04text