Geodesic
Uniform Mazur's Intersection Property of Balls
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 455-460

Voir la notice de l'article provenant de la source Cambridge University Press

We give a dual characterization of the following uniformization of the Mazur's intersection property of balls in a Banach space X: for every ∊ > 0 there is a K > 0 such that whenever a closed convex set C ⊂ X and a point p ∊ X are such that diam C ≤ 1/∊ and dist(p, C) ≤ ∊, then there is a closed ball B of radius ≤ K with B ⊃ C and dist(p,B) ≥ ∊/2.
DOI : 10.4153/CMB-1987-067-3
Mots-clés : 46B20, ball intersection property, smoothness 
Whitfield, J. H. M.; Zizler, V. Uniform Mazur's Intersection Property of Balls. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 455-460. doi: 10.4153/CMB-1987-067-3
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