2023-11-28T12:21:36Zhttps://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
Dieudonné operators on C(K,E)
Bombal Gordón, Fernando
Cembranos, Pilar
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.
2023-06-21T02:03:52Z
2023-06-21T02:03:52Z
2023-06-21T02:03:52Z
1986
journal article
https://hdl.handle.net/20.500.14352/64752
0239-7269
http://journals.impan.gov.pl/ba/
http://www.impan.pl/EN/
spa
restricted access
Polish Academy of Sciences