Finite-dimensional subspaces of \(L_p\) with Lipschitz metric projection

DOI10.1134/S0001434617090188zbMath1392.46016MaRDI QIDQ679867

K. V. Chesnokova, P. A. Borodin, Yu. Yu. Druzhinin

Publication date: 22 January 2018

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

zbMATH Keywords

Lebesgue spacebest approximationLipschitz conditionmetric projectionChebyshev subspaceproximinalitylinearity coefficient

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• The linearity coefficient of metric projections onto a Chebyshev subspace
• Smoothness of approximation
• The Existence and Unicity of Best Approximations.
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