Banach Spaces Which Are Dual tok-Uniformly Convex Spaces
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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.
Geometry and structure of normed linear spaces, Fixed-point theorems, Duality and reflexivity in normed linear and Banach spaces, \(k\)-uniform convexity, Applied Mathematics, \(k\)-uniform smoothness, fixed point property, Analysis
Geometry and structure of normed linear spaces, Fixed-point theorems, Duality and reflexivity in normed linear and Banach spaces, \(k\)-uniform convexity, Applied Mathematics, \(k\)-uniform smoothness, fixed point property, Analysis
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