The isometries of the Bochner space $L^p(mu$,H)

Abstract

In this article, the known characterization of the surjective linear isometries of the Bochner space $L^p(mu$,H), for a $sigma$ - finite measure $mu$ and an arbitrary Hilbert space H, in terms of regular set isomorphisms of the $sigma$ - algebra involved and strongly measurable families of surjective isometries of H, is extended to arbitrary measures.