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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On upper semicontinuity of duality mappings


Authors: Manuel D. Contreras and Rafael Payá
Journal: Proc. Amer. Math. Soc. 121 (1994), 451-459
MSC: Primary 46B10; Secondary 46B20
MathSciNet review: 1215199
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Abstract: We give new sufficient conditions for a Banach space to be an Asplund (or reflexive) space in terms of certain upper semicontinuity of the duality mapping.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1215199-4
Keywords: Asplund space, Fréchet-differentiability, duality mapping, upper semi-continuous set-valued mapping
Article copyright: © Copyright 1994 American Mathematical Society