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On conjugate Banach spaces with the Radon-Nikodým property

On conjugate Banach spaces with the Radon-Nikodým property

It is shown that if the unit ball B z ** of X** is Eberlein compact in the weak* topology, or if X* is isomorphic to a subspace of a weakly compactly generated Banach space then X* possesses the Radon-Nikodym property (RNP).This extends the classical theorem of N. Dunford and …