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Part of book or chapter of book . 2013 . Peer-reviewed

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Upper Semicontinuity of Duality and Preduality Mappings

Name: Upper Semicontinuity of Duality and Preduality Mappings
Creator: Giles, J. R.
Keywords: Gateaux and Fréchet differentiability, Hausdorff upper semicontinuity, duality and preduality mappings, 10. No inequality, 16. Peace & justice

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2013 Australia Publisher:Springer New York

Authors: Giles, J. R.;

doi: 10.1007/978-1-4614-7621-4_18

handle: 1959.13/1345693

Upper Semicontinuity of Duality and Preduality Mappings

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Abstract

In their paper studying Hausdorff weak upper semicontinuity of duality and preduality mappings on the dual of a Banach space, Godefroy and Indumathi related these by an interesting geometrical property. This property actually characterises Hausdorff upper semicontinuity of the preduality mapping. When the duality mapping is Hausdorff upper semicontinuous with weakly compact image, we investigate how this same property persists with natural embedding into higher duals.

Country

Australia

Related Organizations

University of Newcastle Australia
Australia

Keywords

Gateaux and Fréchet differentiability, Hausdorff upper semicontinuity, duality and preduality mappings

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