On reflexivity of the Bochner space L-P (mu, E) for arbitrary mu
Abstract
Let (Omega, A, mu) be a finite positive measure space, E a Banach space, and 1 < p < infinity. It is known that the Bochner space L-P (mu, E) is reflexive if and only if E is reflexive. It is also known that L(L-1(mu), E) = L-infinity (mu, E) if and only if E has the Radon-Nikodym property. In this study, as an application of hyperstonean spaces, these results are extended to arbitrary measures by replacing the given measure space by an equivalent perfect one.
URI
http://journals.tubitak.gov.tr/math/issues/mat-18-42-3/mat-42-3-62-1612-45.pdfhttp://hdl.handle.net/11727/3198