Convex sets which are intersections of closed balls

DOI10.1016/S0001-8708(03)00086-0zbMath1082.46014MaRDI QIDQ597142

José Pedro Moreno, A. S. Granero, Robert R. Phelps

Publication date: 6 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

porosityconvex bodiesMazur intersection propertybinary intersection propertypolyhedral normsMazur setsMazur spacesStonean compact spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (10)

Continuity properties of the ball hull mapping ⋮ The law of large numbers in a metric space with a convex combination operation ⋮ Complete sets in normed linear spaces ⋮ Topological modules geometry ⋮ Analytic characterizations of Mazur's intersection property via convex functions ⋮ Some geometry of convex bodies in \(C(K)\) spaces ⋮ Ball-covering property of Banach spaces that is not preserved under linear isomorphisms ⋮ Intersection properties of polyhedral norms ⋮ Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property ⋮ Semicontinuous functions and convex sets inC(K)spaces

Cites Work

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