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

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Publication:5129936
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DOI10.17951/a.2020.74.1.45-55OpenAlexW3094114344MaRDI QIDQ5129936

Kazimierz Goebel

Publication date: 3 November 2020

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17951/a.2020.74.1.45-55


zbMATH Keywords

truncationspherical capretractionradial projectionLipschitz constant


Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Retraction (54C15)




Cites Work

  • Retracting a ball onto a sphere in some Banach spaces
  • The retraction constant and the minimal displacement characteristic of some Banach spaces
  • Lipschitz retractions onto sphere vs spherical cup in a Hilbert space
  • 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
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