Geodesic
Convex sets in Banach spaces and a problem of Rolewicz
Studia Mathematica, Tome 129 (1998) no. 1, pp. 19-29

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $B_x$ be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdorff metric. In the first part of this work we study the density character of $B_x$ and investigate its connections with the geometry of the space, in particular with a property shared by the spaces of Shelah and Kunen. In the second part we are concerned with the problem of Rolewicz, namely the existence of support sets, for the case of spaces C(K).
DOI : 10.4064/sm-129-1-19-29

A. S. Granero 1 ;  1 ;  1

1 
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A. S. Granero;  ;  . Convex sets in Banach spaces and a problem of Rolewicz. Studia Mathematica, Tome 129 (1998) no. 1, pp. 19-29. doi: 10.4064/sm-129-1-19-29

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