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Some remarks on the Dunford-Pettis property

Narcisse Randrianantoanina
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Abstract

Let $A$ be the disk algebra, $Ω$ be a compact Hausdorff space and $μ$ be a finite Borel measure in $Ω$. It is shown that the dual of $C(Ω,A)$ has the Dunford-Pettis Property. This proved in particular that the spaces $C(Ω,A)$ and $L^1(μ,A*)$ have the Dunford-Pettis property.

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Narcisse Randrianantoanina. 1995-01-24. Some remarks on the Dunford-Pettis property. https://arxiv.org/abs/math/9501214

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