| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4672977 | Indagationes Mathematicae | 2014 | 6 Pages |
Abstract
Let (Ω,μ)(Ω,μ) be a finite measure space, XX a Banach space, and let 1≤p<∞1≤p<∞. The aim of this paper is to give an elementary proof of the Diaz–Mayoral theorem that a subset V⊆Lp(μ;X)V⊆Lp(μ;X) is relatively compact in Lp(μ;X)Lp(μ;X) if and only if it is uniformly pp-integrable, uniformly tight, and scalarly relatively compact.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jan van Neerven,