Chen, Dongjian; Lin, Bor-Luh On \(B\)-convex and Mazur sets of Banach spaces. (English) Zbl 0836.46009 Bull. Pol. Acad. Sci., Math. 43, No. 3, 191-198 (1995). Summary: There exists an equivalent norm \(|\cdot |\) in \(\ell_2\) such that in the reflexive space \((\ell_2, |\cdot |)^*\), there is a bounded \(B\)-convex set \(K\) with the property that the closure of \(K\) is not an intersection of balls. A necessary condition is given for Banach spaces with the property that the closure of every bounded \(B\)- convex set is an intersection of balls. Cited in 3 ReviewsCited in 6 Documents MSC: 46B20 Geometry and structure of normed linear spaces 46B03 Isomorphic theory (including renorming) of Banach spaces 46B10 Duality and reflexivity in normed linear and Banach spaces Keywords:Mazur sets; equivalent norm; reflexive space; bounded \(B\)-convex; intersection of balls PDFBibTeX XMLCite \textit{D. Chen} and \textit{B.-L. Lin}, Bull. Pol. Acad. Sci., Math. 43, No. 3, 191--198 (1995; Zbl 0836.46009)