RT Journal Article
T1 Dieudonné operators on C(K,E)
A1 Bombal Gordón, Fernando
A1 Cembranos, Pilar
AB 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.
PB Polish Academy of Sciences
SN 0239-7269
YR 1986
FD 1986
LK https://hdl.handle.net/20.500.14352/64752
UL https://hdl.handle.net/20.500.14352/64752
LA spa
DS Docta Complutense
RD 29 nov 2023