2026-06-27T10:44:29Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/647522023-08-11T09:34:56Zcom_20.500.14352_14col_20.500.14352_15

Bombal Gordón, Fernando Cembranos, Pilar 2023-06-21T02:03:52Z 2023-06-21T02:03:52Z 1986 0239-7269 https://hdl.handle.net/20.500.14352/64752 http://journals.impan.gov.pl/ba/ http://www.impan.pl/EN/ 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. spa restricted access Dieudonné operators on C(K,E) journal article