Weak compactness in spaces of Bochner integrable functions and the Radon-Nikodým property

Nassif A. Ghoussoub and Paulette Saab

Vol. 110 (1984), No. 1, 65–70

DOI: 10.2140/pjm.1984.110.65

Abstract

We characterize Banach spaces E such that E and E^∗ have the Radon-Nikodym property in terms of relatively weakly compact sets of L¹[λ,E].

Mathematical Subject Classification 2000

Primary: 46B22

Secondary: 46E40

Milestones

Received: 22 February 1982

Published: 1 January 1984