On lower semi-continuous metric projections onto finite dimensional subspaces of spaces of continuous functions

DOI10.1016/j.jat.2012.10.004zbMath1264.46007OpenAlexW2000798255MaRDI QIDQ1935756

Aldric L. Brown

Publication date: 19 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.10.004

zbMATH Keywords

Banach spacebest approximationcontinuous selectionmetric projectionset-valued mapChebyshev subspacelower semi-continuous multifunctionHaar condition

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) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces ⋮ On approximation properties of \(l_1\)-type spaces

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