Simultaneously proximinality in $L_\infty(\mu, X)$

Tijani Pakhrou

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arXiv · 1809.07975

Simultaneously proximinality in $L_\infty(\mu, X)$

Tijani Pakhrou

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Abstract

It is shown that for any W weakly compact set of a real Banach space X, the set $L_\infty(\mu ,W)$ is N-simultaneously proximinal in $L_\infty(\mu ,X)$ for arbitrary monotonous norm N in $\mathbb{R}^n$.

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Tijani Pakhrou. 2018-09-21. Simultaneously proximinality in $L_\infty(\mu, X)$. https://arxiv.org/abs/1809.07975

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