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Compactness in Vector-valued Banach Function Spaces

Compactness in Vector-valued Banach Function Spaces 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≤ p<∞, and extend the result to vector-valued Banach function spaces E X , where E is a Banach function space with order continuous norm. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Compactness in Vector-valued Banach Function Spaces

Positivity , Volume 11 (3) – Jan 1, 2007

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Birkhäuser Verlag, Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-007-2095-5
Publisher site
See Article on Publisher Site

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≤ p<∞, and extend the result to vector-valued Banach function spaces E X , where E is a Banach function space with order continuous norm.

Journal

PositivitySpringer Journals

Published: Jan 1, 2007

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