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Comparable differentiability characterisations of two classes of Banach spaces

Published online by Cambridge University Press:  17 April 2009

J.R. Giles
J.R. Giles
Affiliation:
Department of MathematicsThe University of NewcastleNew South Wales 2308Australia
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 263 - 272
Copyright
Copyright © Australian Mathematical Society 1997

References

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