- Title
- A continuity characterization of Asplund spaces
- Creator
- Giles, J. R.
- Relation
- Australian Mathematical Society Bulletin Vol. 83, Issue 3, p. 450-455
- Publisher Link
- http://dx.doi.org/10.1017/S0004972710001978
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2011
- Description
- 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.
- Subject
- Fréchet differentiability; subdifferential mapping; weak upper semi-continuity; gauge; extreme point; polar; Radon–Nikodým property
- Identifier
- http://hdl.handle.net/1959.13/1066503
- Identifier
- uon:18119
- Identifier
- ISSN:0004-9727
- Language
- eng
- Reviewed
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