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A CONTINUITY CHARACTERIZATION OF ASPLUND SPACES

Published online by Cambridge University Press:  07 February 2011

J. R. GILES*
Affiliation:
School of Mathematical and Physical Sciences, The University of Newcastle, New South Wales 2308, Australia (email: [email protected])
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Abstract

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A Banach space is an Asplund space if every continuous gauge has a point where the subdifferential mapping is Hausdorff weak upper semi-continuous with weakly compact image. This contributes towards the solution of a problem posed by Godefroy, Montesinos and Zizler.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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