TYPES OF RADON-NIKODYM PROPERTIES FOR THE PROJECTIVE TENSOR PRODUCT OF BANACH SPACES

摘要

Let X and Y be Banach spaces such that X has a boundedly complete basis. Then X directX Y, the projective tensor product of X and Y, has the Radon-Nikodym property (resp. the analytic Radon-Nikodym property, the near Radon-Nikodym property, contains no copy of c_0) if and only if Y has the same property.