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

Abstract

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) AbstractWe 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.