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Strong differentiability of the norm and rotundity of the dual

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  09 April 2009

J. R. Giles
J. R. Giles
Affiliation:
University of Newcastle N.S.W. 2308 Australia University of Washington Seattle, WA 98195 U.S.A.
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Abstract

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For normed linear spaces two similar characterizations of strong differentiability of the norm and rotundity of the dual space are established, but it is shown that in general there is no causal relation between these two concepts.

MSC classification

Secondary: 46B10: Duality and reflexivity
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 3 , November 1978 , pp. 302 - 308
Copyright
Copyright © Australian Mathematical Society 1978

References

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