[Banach] Abstract of a paper by Jan van Neerven

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@tudelft.nl

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http://arXiv.org/abs/0710.3241

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