English

Compactness in vector-valued Banach function spaces

Functional Analysis 2007-10-18 v1

Abstract

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

Keywords

Cite

@article{arxiv.0710.3241,
  title  = {Compactness in vector-valued Banach function spaces},
  author = {Jan van Neerven},
  journal= {arXiv preprint arXiv:0710.3241},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-06-21T09:32:57.546Z