Zemek, M. Strong monotonicity and Lipschitz-continuity of the duality mapping. (English) Zbl 0755.47036 Acta Univ. Carol., Math. Phys. 32, No. 2, 61-64 (1991). Various kinds of differentiability of the norm and various kinds of smoothness and convexity properties of normed spaces can be described by means of the duality mapping. The author gives characterizations of two other geometric properties of normed spaces in terms of the duality mapping. Reviewer: U.Kosel (Freiberg) Cited in 3 Documents MSC: 47H04 Set-valued operators 46B20 Geometry and structure of normed linear spaces Keywords:differentiability of the norm; smoothness and convexity properties of normed spaces; duality mapping PDF BibTeX XML Cite \textit{M. Zemek}, Acta Univ. Carol., Math. Phys. 32, No. 2, 61--64 (1991; Zbl 0755.47036) Full Text: EuDML