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A Banach space with support homeomorphism is reflexive

Published online by Cambridge University Press:  17 April 2009

J.R. Giles
J.R. Giles
Affiliation:
The University of Newcastle, Newcastle, New South Wales.
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Abstract

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For every Banach space X there is a natural non-linear mapping from X into its dual X*. It is shown that if this mapping is a homeomorphism then it is onto X* and X is reflexive.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 187 - 189
Copyright
Copyright © Australian Mathematical Society 1971

References

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