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A subdifferential characterisation of Banach spaces with the Radon–Nikodym property

Published online by Cambridge University Press:  17 April 2009

J. R. Giles
J. R. Giles
Affiliation:
Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
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A Banach space has the Radon–Nikodym Property if and only if every continuous weak* lower semi–continuous gauge on the dual space has a point of its domain where its subdifferential is contained in the natural embedding.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 2 , October 2002 , pp. 313 - 316
Copyright
Copyright © Australian Mathematical Society 2002

References

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