Some remarks on the Dunford-Pettis property

Details Some remarks on the Dunford-Pettis property Some remarks on the Dunford-Pettis property

1995-01-24

arxiv.org/abs/math/9501214v1

Mathematics

Functional Analysis

Scientific paper

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

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