# [Banach] Abstract of a paper by Jan van Neerven

Dale Alspach alspach at www.math.okstate.edu
Mon Oct 29 08:06:53 CDT 2007

This is an announcement for the paper "Compactness in vector-valued
Banach function spaces" by Jan van Neerven.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46E40

Citation: Positivity 11 (2007), 461-467

Remarks: 6 pages

The source file(s), compact_BFS.tex: 39718 bytes, is(are) stored
in gzipped form as 0710.3241.gz with size 13kb. The corresponding
postcript file has gzipped size 68kb.

Submitted from: J.M.A.M.vanNeerven at tudelft.nl

The paper may be downloaded from the archive by web browser from
URL

http://front.math.ucdavis.edu/0710.3241

or

http://arXiv.org/abs/0710.3241

or by email in unzipped form by transmitting an empty message with
subject line

uget 0710.3241

or in gzipped form by using subject line

get 0710.3241

to: math at arXiv.org.