The complete continuity property in Bochner function spaces

Randrianantoanina, Narcisse; Saab, Elias

doi:10.1090/S0002-9939-1993-1143023-6

The complete continuity property in Bochner function spaces
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by Narcisse Randrianantoanina and Elias Saab PDF

Proc. Amer. Math. Soc. 117 (1993), 1109-1114 Request permission

Abstract:

Let $X$ be a Banach space, $(\Omega ,\Sigma ,\lambda )$ a finite measure space, and $1 < p < \infty$. It is shown that ${L^p}(\lambda ,X)$ has the complete continuity property if and only if $X$ has it. A similar result about $L_ \wedge ^1(G,X)$ is also given.

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