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Strong monotonicity and Lipschitz-continuity of the duality mapping. (English) Zbl 0755.47036
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)

MSC:
47H04 Set-valued operators
46B20 Geometry and structure of normed linear spaces
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