descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1994 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 121, pages 451-459 (issn: 0002-9939, eissn: 1088-6826,

Authors: Manuel D. Contreras; Rafael Payá;

doi: 10.1090/s0002-9939-1994-1215199-4 , 10.2307/2160421

On upper semicontinuity of duality mappings

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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.

Keywords

Geometry and structure of normed linear spaces, Duality and reflexivity in normed linear and Banach spaces, Derivatives of functions in infinite-dimensional spaces, Fréchet-differentiability, Set-valued operators, Asplund space, semicontinuity of the duality mapping

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