Bombal Gordón, Fernando2023-06-212023-06-2119860002-993910.2307/2046087https://hdl.handle.net/20.500.14352/64617Let 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.engjournal articlehttp://www.ams.org/journals/proc/1986-097-01/S0002-9939-1986-0831394-3/S0002-9939-1986-0831394-3.pdfhttp://www.ams.org/restricted access517.986.6517.518.45Análisis matemático1202 Análisis y Análisis Funcional