Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\)

DOI10.1016/j.jat.2011.04.007zbMath1232.46037OpenAlexW1558968239MaRDI QIDQ719366

Hong-Kun Xu, Chong Li, Xian Fa Luo, Jen-Chih Yao

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.04.007

zbMATH Keywords

simultaneous approximationRadon-Nikodym propertyproximinal setsspaces of integrable vector-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) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (6)

Best simultaneous approximation on metric spaces via monotonous norms ⋮ Best \(N\)-simultaneous approximation in \(L_p(\mu, X)\) ⋮ Simultaneous Approximations in Banach Space-Valued Bochner–Lebesgue Spaces with Variable Exponent ⋮ Simultaneous Proximinality in Spaces of Bochner Integrable Functions ⋮ Unnamed Item ⋮ Existence of best simultaneous approximations in \(L_p(S,\Sigma,X)\) without the RNP assumption

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