Lipschitz retractions onto sphere vs spherical cup in a Hilbert space

DOI10.12775/TMNA.2018.034zbMath1486.47093MaRDI QIDQ1741794

Jumpot Intrakul, Wacharin Wichiramala, Phichet Chaoha

Publication date: 7 May 2019

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

Full work available at URL: https://projecteuclid.org/euclid.tmna/1543114846

zbMATH Keywords

Hilbert spaceLipschitz retractionoptimal retraction problemspherical cup

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces

Cites Work

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• Retracting a ball onto a sphere in some Banach spaces
• Retracting ball onto sphere in \(BC_0(\mathbb{R})\)
• The retraction constant in some Banach spaces
• Around Ulam's question on retractions
• An upper bound for the Lipschitz retraction constant in l₁
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible
• A remark on the retracting of a ball onto a sphere in an infinite dimensional Hilbert space.
• Minimal displacement and retraction problems in infinite-dimensional Hilbert spaces

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