On approximation properties of \(l_1\)-type spaces

DOI10.1215/17358787-2018-0005zbMath1400.41029OpenAlexW2853607413MaRDI QIDQ1790418

Grzegorz Lewicki, Maciej Ciesielski

Publication date: 2 October 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1531209675

zbMATH Keywords

Banach spacesChebyshev subspacescontinuous selection for the metric projection

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Continuity of the set-valued metric projection
• Cebysev Subspaces of Finite Dimension in L 1
• Applications of the Hahn-Banach Theorem in Approximation Theory
• Spaces of Affine Continuous Functions on Simplexes

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