2023-11-30T14:49:25Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/647522023-08-11T11:34:56Zcom_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.
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Dieudonné operators on C(K,E)
journal article