Geodesic
Intersections of Balls and the Ball Hull Mapping
Journal of convex analysis, Tome 17 (2010) no. 1, pp. 277-292

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

We are concerned with some properties of the family of all subsets of a Banach space that can be written as an intersection of balls. A space with the Mazur Intersection Property (MIP) always satisfies those properties, so they can be regarded as weakenings of the MIP in different directions. The "ball hull" function (mapping a set to the intersection of all closed balls that cover it) is often an effective tool to study those properties.
Classification : 46B20, 46B26, 60D05
Mots-clés : Intersection of balls, Mazur intersection property, Mazur set, semidenting point, weak* denting point 
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     author = {P. Ter\'an},
     title = {Intersections of {Balls} and the {Ball} {Hull} {Mapping}},
     journal = {Journal of convex analysis},
     pages = {277--292},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a19/}
}
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P. Terán. Intersections of Balls and the Ball Hull Mapping. Journal of convex analysis, Tome 17 (2010) no. 1, pp. 277-292. http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a19/