- Title
- Upper semicontinuity of duality and preduality mappings
- Creator
- Giles, J. R.
- Relation
- Computational and Analytical Mathematics p. 401-410
- Relation
- Springer Proceedings in Mathematics & Statistics 50
- Publisher Link
- http://dx.doi.org/10.1007/978-1-4614-7621-4_18
- Publisher
- Springer
- Resource Type
- book chapter
- Date
- 2013
- Description
- 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.
- Subject
- duality and preduality mappings; Gateaux and Fréchet differentiability; Hausdorff upper semicontinuity
- Identifier
- http://hdl.handle.net/1959.13/1345693
- Identifier
- uon:29703
- Identifier
- ISBN:9781461476214
- Language
- eng
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