Best \(N\)-simultaneous approximation in \(L_p(\mu, X)\)

DOI10.1155/2017/7347130zbMath1382.46025OpenAlexW2735435549MaRDI QIDQ2405882

Tijani Pakhrou

Publication date: 28 September 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/7347130

zbMATH Keywords

Banach spaceproximinalBochner \(p\)-integrable functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Approximation properties for spaces of Bochner integrable functions
• Best simultaneous approximation in \(L^{p}(I,E)\)
• Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\)
• Best simultaneous approximation in \(L_{1}(\mu ,X)\)
• A remark on the renormings of nonreflexive spaces and the existence of the Chebyshev center
• Best simultaneous of bounded functions with values in certain Banach spaces
• Banach spaces of vector-valued functions
• Simultaneous approximation from convex sets

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