J Austral Math Soc Ser A 54 pp213--220, 1993.

Rosenthal Sets and the Radon-Nikodym Property

Patrick N. Dowling

(Received 5 April 1991; revised 24 July 1991)

Abstract

Let X be a complex Banach space, G be a compact abelian metrizable group and L be a subset of ÙG, the dual group of G. If X has the Radon-Nikodym property and L_L^¥ (G, X) has the Radon-Nikodym property whenever X has the Radon-Nikodyam property and the Schur property and L is a Rosenthal set. A partial stability for products of Rosenthal sets is also obtained.

1991 AMS Subject Classification: 46B22, 43A46

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Authors

Patrick N. Dowling: Miami University, Oxford, Ohio 45056, U.S.A.

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Last Modified: Mon Feb 3 9:46:12 2003