Banach spaces which are dual to \(k\)-uniformly convex spaces
The authors find a characterization of the property dual to \(k\)-uniform convexity and call it \(k\)-uniform smoothness. A slight modification of a modulus defined by \textit{V. D. Mil'man} [Russian Math. Surveys 26 (1971), No. 6, 79-163 (1972; Zbl 0238.46012); translation from Usp. Mat. Nauk 26, No. 6(162), 73-149 (1971; Zbl 0229.46017)] can be seen as a modulus of \(k\)-uniform smoothness. Besides, they show that \(k\)-uniformly smooth spaces have the fixed point property.
scientific article; zbMATH DE number 1031617