Convex Sets, Convex Hypersurfaces, and G-Polytopes
Paolo d’Alessandro
Chapter Chapter 26 in On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions, 2025, pp 427-437 from Springer
Abstract:
Abstract In this chapter we deal with convex hypersurfaces in infinite dimension. The central result here is the well-known Convexity Theorem about convex bodies, which we will refine in various stages, culminating to its extension to convex closed sets with void interior.
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-92477-4_26
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DOI: 10.1007/978-3-031-92477-4_26
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