Comparable differentiability characterisations of two classes of Banach spaces

We characterise Banach spaces not containing l1 by a differentiability property of each equivalent norm and show that a slightly stronger differentiability property characterises Asplund spaces.

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 1997-10, Vol.56 (2), p.263-272
Main Author: Giles, J.R.
Format: Article
Language:English
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Summary:We characterise Banach spaces not containing l1 by a differentiability property of each equivalent norm and show that a slightly stronger differentiability property characterises Asplund spaces.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700031002