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The retraction constant in some Banach spaces

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Publication:1867275
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DOI10.1016/S0021-9045(02)00037-0zbMath1021.47034MaRDI QIDQ1867275

Marco Baronti, Emanuele Casini, Carlo Franchetti

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)


zbMATH Keywords

Banach spaceminimal displacementLipschitz mapsretractions


Mathematics Subject Classification ID

Fixed-point theorems (47H10)


Related Items (5)

Retracting a ball onto a sphere in some Banach spaces ⋮ Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces ⋮ Lipschitz retractions onto sphere vs spherical cup in a Hilbert space ⋮ Why and how much Brouwer's fixed point theorem fails in noncompact setting? ⋮ The minimal displacement problem in subspaces of the space of continuous functions of finite codimension



Cites Work

  • A note on minimal displacement and retraction problems
  • On the minimal displacement of points under Lipschitzian mappings
  • 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.
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