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arXiv · 0710.3241

Compactness in vector-valued Banach function spaces

Jan van Neerven
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Abstract

We give a new proof of a recent characterization by Diaz and Mayoral of compactness in the Lebesgue-Bochner spaces $L_X^p$, where $X$ is a Banach space and $1\le p<\infty$, and extend the result to vector-valued Banach function spaces $E_X$, where $E$ is a Banach function space with order continuous norm.

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Jan van Neerven. 2007-10-17. Compactness in vector-valued Banach function spaces. https://arxiv.org/abs/0710.3241

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