%0 Journal Article
%A Bombal Gordón, Fernando
%A Cembranos, Pilar
%T Dieudonné operators on C(K,E)
%D 1986
%@ 0239-7269
%U https://hdl.handle.net/20.500.14352/64752
%X A Banach space operator is called a Dieudonné operator if it maps weakly Cauchy sequences to weakly convergent sequences. A space E is said to have property (D) if, whenever K is a compact Hausdorff space and T is an operator from C(K,E) into a space F , T is a Dieudonné operator if and only if its representing measure is both strongly additive and has for its values Dieudonné operators from E into F . The purpose of this paper is to show that if E ∗ has the Radon-Nikodým property then E has (D) if and only if E ∗∗ has the Radon-Nikodým property.
%~