%0 Journal Article
%A Bombal Gordón, Fernando
%T On weakly compact operators on spaces of vector valued continuous functions
%D 1986
%@ 0002-9939
%U https://hdl.handle.net/20.500.14352/64617
%X Let K and S be compact Hausdorff spaces and 8 a continuous function from K onto S. Then for any Banach space E the map / -» / ° 9 isometrically embeds C(S, £) as a closed subspace of C(K, E). In this note we prove that when E' has the Radon-Nikodym property, every weakly compact operator on C(S, E) can be lifted to a weakly compact operator on C( K, E). As a consequence, we prove that the compact dispersed spaces K are characterized by the fact that C(K, E) has the Dunford-Pettis property whenever E has.
%~