Some geometry of convex bodies in \(C(K)\) spaces

DOI10.1016/j.matpur.2014.04.007zbMath1364.52002OpenAlexW2003615256MaRDI QIDQ488012

José Pedro Moreno, Rolf Schneider

Publication date: 23 January 2015

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2014.04.007

zbMATH Keywords

convex bodygenerating set\(C(K)\) spaceintersection of ballsdiametric completionMaehara setvector addition

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (4)

On Cantor's intersection theorem in \(C(K)\) spaces ⋮ Complete sets in normed linear spaces ⋮ Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces ⋮ Multiplication of convex sets in $C(K)$ spaces

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