An example of a Banach space with non-Lipschitzian metric projection on any straight line

DOI10.1134/S0001434621010223zbMath1479.46010OpenAlexW3178587654MaRDI QIDQ2037649

L. Sh. Burusheva

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010223

zbMATH Keywords

Banach spaceLipschitz conditionmetric projectionChebyshev set

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Isometric theory of Banach spaces (46B04)

Cites Work

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• On the line segments of a convex surface in \(E_3\)
• The linearity coefficient of metric projections onto a Chebyshev subspace
• Spaces with a uniformly continuous metric projection
• Smoothness of approximation

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