Compactness in vector-valued Banach function spaces

Details Compactness in vector-valued Banach function spaces Compactness in vector-valued Banach function spaces

2007-10-17

arxiv.org/abs/0710.3241v1

Positivity 11 (2007), 461-467

Mathematics

Functional Analysis

6 pages

Scientific paper

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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