Compactness in Vector-valued Banach Function Spaces |
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Authors: | Jan van Neerven |
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Institution: | (1) Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands |
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Abstract: | We give a new proof of a recent characterization by Diaz and Mayoral of compactness in the Lebesgue-Bochner spaces LXp, where X is a Banach space and 1≤ p<∞, and extend the result to vector-valued Banach function spaces EX, where E is a Banach function space with order continuous norm.
The author is supported by the ‘VIDI subsidie’ 639.032.201 in the ‘Vernieuwingsimpuls’ programme of the Netherlands Organization
for Scientific Research (NWO) and by the Research Training Network HPRN-CT-2002-00281. |
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Keywords: | Primary: 46E40 Secondary: 46E30 46B50 47D06 60B05 |
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