Upper Semicontinuity of Duality and Preduality Mappings

Autor:	J. R. Giles
Rok vydání:	2013
Předmět:	Mathematics::Functional Analysis Pure mathematics Property (philosophy) Operations research Mathematics::Operator Algebras Hausdorff space Banach space Mathematics::General Topology Duality (optimization) Image (mathematics) Dual (category theory) Embedding Dual polyhedron Mathematics
Zdroj:	Springer Proceedings in Mathematics & Statistics ISBN: 9781461476207
DOI:	10.1007/978-1-4614-7621-4_18
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5b2855a4a87ec1c95f0672c90a907103 https://doi.org/10.1007/978-1-4614-7621-4_18 Zobrazit plný text záznamu