Geodesic
On Local Milman's Moduli
Journal of convex analysis, Tome 17 (2010) no. 1, pp. 1-11.

Voir la notice de l'article provenant de la source Heldermann Verlag

In his paper "Geometric theory of Banach spaces. Part II: Geometry of the unit sphere" [Russian Math. Surveys 26 (1971) 79--163, translation from Usp. Mat. Nauk 26 (1971) 73--149], V. D. Milman gave a scheme of defining moduli which can be used as tools for studying the geometry of Banach spaces. For instance they were used to characterize uniform convexity, uniform smoothness and multi-dimensional counterparts of these properties. Infinite-dimensional Milman's moduli turned out to be related to the Kadec-Klee property, nearly uniform convexity and nearly uniform smoothness. They were successfully applied to some problems of nonlinear analysis, including differentiation of mappings on Banach spaces and metric fixed point problems. 
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S. Prus; M. Szczepanik. On Local Milman's Moduli. Journal of convex analysis, Tome 17 (2010) no. 1, pp. 1-11. http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a0/