Radon–Nikodym property for the projective tensor product of Köthe function spaces

Let E be an order continuous Köthe function space (or an order continuous Banach lattice) and X be a dual Banach space. Then E⊗ˆ X, the projective tensor product of E and X, has the Radon– Nikodym property if and only if both E and X do.  2004 Elsevier Inc. All rights reserved.