
Journal of Convex Analysis 21 (2014), No. 2, 307316 Copyright Heldermann Verlag 2014 Relative Chebyshev Centers in L_{∞}(μ,X) Tijani Pakhrou Dept. of Mathematical Analysis, Faculty of Sciences, University of Alicante, 03080 Alicante, Spain tijani.pakhrou@ua.es [Abstractpdf] Let $X$ be a Banach space and $Y$ a weakly $\mathcal{K}$analytic subspace of $X$. In this paper we study the simultaneous proximinality in the space $L_\infty(\mu,X)$. In this sense we have proved that $L_\infty(\mu,Y)$ is simultaneously proximinal in $L_\infty(\mu,X)$ if, and only if, $Y$ is simultaneously proximinal in $X$. [ Fulltextpdf (120 KB)] for subscribers only. 