RT Journal Article T1 Convex sets in Banach spaces and a problem of Rolewicz A1 Suárez Granero, Antonio A1 Jiménez Sevilla, María Del Mar A1 Moreno, José Pedro AB Let BX be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdor metric. In the rst part of this work we study the density character of BX 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 ofRolewicz, namely the existence of support sets, for the case of spaces C(K). PB Polish Acad Sciencies Inst Mathematics SN 0039-3223 YR 1998 FD 1998 LK https://hdl.handle.net/20.500.14352/58663 UL https://hdl.handle.net/20.500.14352/58663 LA eng NO DGICYT DS Docta Complutense RD 1 sept 2024