Pelczynski's property (V) on spaces of vector valued functions

Narcisse Randrianantoanina

Pelczynski's property (V) on spaces of vector valued functions

Functional Analysis 2016-09-06 v1

Authors: Narcisse Randrianantoanina

Abstract

Let $E$ be a separable Banach space and $\Omega$ be a compact Hausdorff space. It is shown that the space $C(\Omega,E)$ has property (V) if and only if $E$ does. Similar result is also given for Bochner spaces $L^p(\mu,E)$ if $1<p<\infty$ and $\mu$ is a finite Borel measure on $\Omega$ .

Keywords

pelczynski property v vector valued functions banach space bochner space continuous functions

Cite

@article{arxiv.math/9410205,
  title  = {Pelczynski's property (V) on spaces of vector valued functions},
  author = {Narcisse Randrianantoanina},
  journal= {arXiv preprint arXiv:math/9410205},
  year   = {2016}
}

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