2-Chebyshev subspaces in the spaces \(L_1\) and \(C\)

DOI10.1134/S0001434612050239zbMath1294.46014OpenAlexW2071140966MaRDI QIDQ2435835

P. A. Borodin

Publication date: 20 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434612050239

zbMATH Keywords

Hilbert spaceBanach space2-Chebyshev subspace2-existence subspace2-uniqueness subspacespace of Lebesgue integrable functions

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) 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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• Chebyshev subspaces of \(L^ 1\) with linear metric projection
• Cebysev subspaces of finite codimension in \(C(X)\)
• On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Convexity of 2-Chebyshev sets in Hilbert space
• Cebysev Subspaces of Finite Dimension in L 1
• The Existence and Unicity of Best Approximations.

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