On the smoothness of the metric projection and its application to proximinality in \(L^ p (S, X)\)

DOI10.1006/jath.1995.1117zbMath0841.41028OpenAlexW2072901659MaRDI QIDQ1904374

Fathi B. Saidi

Publication date: 1 February 1996

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

Full work available at URL: https://doi.org/10.1006/jath.1995.1117

zbMATH Keywords

best approximationsproximinal subspaces of Banach space

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (5)

On proximinal subspaces of vector-valued Orlicz-Musielak spaces ⋮ Best simultaneous approximation in \(L^{p}(I,E)\) ⋮ Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\) ⋮ Existence of best simultaneous approximations in \(L_p(S,\Sigma,X)\) without the RNP assumption ⋮ Proximinality in \(L_p(\mu,X)\)

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