Retracting a ball in \(\ell_1\) onto its simple spherical cap

DOI10.12775/TMNA.2024.005MaRDI QIDQ6545457

J. Intrakul, Smith Yokpaisan Iampiboonvatana

Publication date: 29 May 2024

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

spherical capBanach sequence spaceoptimal retraction problemapproximate Lipschitz constant

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Banach sequence spaces (46B45) Retraction (54C15) Special maps on metric spaces (54E40) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Best constants in approximation theory (41A44)

Cites Work

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• The retraction constant and the minimal displacement characteristic of some Banach spaces
• Retracting ball onto sphere in \(BC_0(\mathbb{R})\)
• Lipschitz retractions onto sphere vs spherical cup in a Hilbert space
• The retraction constant in some Banach spaces
• Around Ulam's question on retractions
• Reflexivity and the girth of spheres
• An upper bound for the Lipschitz retraction constant in l₁
• On properties of contractions and nonexpansive mappings on spherical caps in Hilbert spaces
• Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces

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