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The convex hull and the Carathéodory number of a set in terms of the metric projection operator - MaRDI portal

The convex hull and the Carathéodory number of a set in terms of the metric projection operator

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Publication:6178289

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DOI10.4213/SM9742EOpenAlexW4381306144MaRDI QIDQ6178289

Konstantin S. Shklyaev

Publication date: 1 September 2023

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

Full work available at URL: http://mathnet.ru/eng/sm9742

zbMATH Keywords

Banach space convex hull Carathéodory number smoothness Minkowski functional metric projection

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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