Proximinality in \(L_p(\mu,X)\)

DOI10.1006/jath.1997.3163zbMath0914.41020OpenAlexW2199161675MaRDI QIDQ1266130

José Mendoza

Publication date: 27 October 1998

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

Full work available at URL: https://doi.org/10.1006/jath.1997.3163

zbMATH Keywords

proximinal subspacesX)\) spacesbest approximation in \(L_p(\mu

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) 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)

Related Items (13)

Best simultaneous approximation on metric spaces via monotonous norms ⋮ Proximinality in Banach space valued Musielak-Orlicz spaces ⋮ On proximinal subspaces of vector-valued Orlicz-Musielak spaces ⋮ Stability of ball proximinality ⋮ Approximation properties for spaces of Bochner integrable functions ⋮ Simultaneous Approximations in Banach Space-Valued Bochner–Lebesgue Spaces with Variable Exponent ⋮ Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\) ⋮ Computing the Distance to the Functions with Range in a Given Set in Lebesgue Spaces of Vector-Valued Functions ⋮ Existence of best simultaneous approximations in \(L_p(S,\Sigma,X)\) without the RNP assumption ⋮ Proximinality Properties in L_p(μ, X) and Polyhedral Direct Sums of Banach Spaces ⋮ Proximinality in Banach space-valued grand Bochner-Lebesgue spaces with variable exponent ⋮ Best Constrained Approximation in Banach Spaces ⋮ \(L^1(\mu,X)\) as a constrained subspace of its bidual

Cites Work

• Unnamed Item
• Proximinality in \(L_ p(S,Y)\)
• Best approximation in \(L^ p(\mu,X)\). II
• Approximation theory in tensor product spaces
• Pointwise best approximation in the space of strongly measurable functions with applications to best approximation in \(L^ p(\mu,X)\)
• On the smoothness of the metric projection and its application to proximinality in \(L^ p (S, X)\)
• Extremal structure of the unit ball of \(L^ p(\mu,X)\)
• Smoothness of approximation
• Best approximation in L^P (I, X)
• Best approximation in L(X, Y)
• Some best-approximation theorems in tensor-product spaces
• Best Approximation in L 1 (I, X)

This page was built for publication: Proximinality in \(L_p(\mu,X)\)