Geometric properties and continuity of the pre-duality mapping in Banach space

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Authors

Montesinos Santalucia, Vicente

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https://riunet.upv.es/handle/10251/65939

Citation

Zhang, ZH.; Montesinos Santalucia, V.; Liu, CY.; Gong, WZ. (2015). Geometric properties and continuity of the pre-duality mapping in Banach space. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 109(2):407-416. https://doi.org/10.1007/s13398-014-0190-6

Abstract

We use the preduality mapping in proving characterizations of some geometric properties of Banach spaces. In particular, those include nearly strongly convexity, nearly uniform convexity-a property introduced by K. Goebel and T. Sekowski-, and nearly very convexity.

subject

Duality mapping, Pre-duality mapping, Alpha-upper semi-continuity, Usco mapping, Nearly strongly convex space, Nearly uniformly convex space, Nearly very convex space

Source

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas issn: 1578-7303

DOI

10.1007/s13398-014-0190-6

Publisher version

http://dx.doi.org/10.1007/s13398-014-0190-6

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