Abstract

Let XX be a Banach space and YY a weakly K\mathcal{K}-analytic subspace of XX. In this paper we study the simultaneous proximinality in the space L∞(μ,X)L_\infty(\mu,X). In this sense we have proved that L∞(μ,Y)L_\infty(\mu,Y) is simultaneously proximinal in L∞(μ,X)L_\infty(\mu,X) if, and only if, YY is simultaneously proximinal in XX

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Tijani Pakhrou

Dept. of Mathematical Analysis, Faculty of Sciences, University of Alicante, 03080 Alicante, Spain

tijani.pakhrou@ua.es

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Suggested citation

T. Pakhrou. “Relative Chebyshev Centers in L_∞(μ,X).” Journal of Convex Analysis 21 (2014), No. 2, 307–316. https://doi.org/10.68381/jca21017

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Published by Heldermann Verlag, 2014. Rights now held by Banach Press LLC.