RT Journal Article
T1 On weakly compact operators on spaces of vector valued continuous functions
A1 Bombal Gordón, Fernando
AB 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.
PB American Mathematical Society
SN 0002-9939
YR 1986
FD 1986
LK https://hdl.handle.net/20.500.14352/64617
UL https://hdl.handle.net/20.500.14352/64617
LA eng
NO CAICYT
DS Docta Complutense
RD 12 abr 2025