Compactness in the Lebesgue-Bochner spaces L^p(\mu;X)
Functional Analysis
2013-05-27 v1
Abstract
Let (\Omega,\mu) 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(\mu;X) is relatively compact if and only if it is uniformly p-integrable, uniformly tight, and scalarly relatively compact.
Keywords
Cite
@article{arxiv.1305.5688,
title = {Compactness in the Lebesgue-Bochner spaces L^p(\mu;X)},
author = {Jan van Neerven},
journal= {arXiv preprint arXiv:1305.5688},
year = {2013}
}
Comments
5 pages, submitted for publication