2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159893We will show that if (Ω,Σ,μ) is an atomless positive measure space, X is a Banach space and 1\leq p<\infty, then the group of isometric automorphisms on the Bochner space L^{p}(μ,X) is contractible in the strong operator topology. We do not require Σor X above to be separable.Functional Analysis46B04; 46B25; 46E40text