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arXiv · 1305.5688

Compactness in the Lebesgue-Bochner spaces L^p(μ;X)

Jan van Neerven
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Abstract

Let (Ω,μ) be a finite measure space, X a Banach space, and let 1\le p<\infty. The aim of this paper is to give an elementary proof of the Diaz--Mayoral theorem that a subset V of L^p(μ;X) is relatively compact if and only if it is uniformly p-integrable, uniformly tight, and scalarly relatively compact.

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Jan van Neerven. 2013-05-24. Compactness in the Lebesgue-Bochner spaces L^p(μ;X). https://arxiv.org/abs/1305.5688

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