The Reciprocal Dunford-Pettis and Radon-Nikodym Properties in Banach Spaces
Description:
In this paper we give a characterization theorem for the reciprocal Dunford-Pettis property as defined by Grothendieck. The relationship of this property to Pelczynski's property V is examined. In particular it is shown that every Banach space with property V has the reciprocal Dunford-Pettis property and an example is given to show that the converse fails to hold. Moreover the characterizations of property V and the reciprocal Dunford-Pettis property lead to the definitions of property V* and …
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Date:
August 1984
Creator:
Leavelle, Tommy L. (Tommy Lee)