Pointwise best coapproximation in the space of Bochner integrable functions

Let \(X\) be a Banach space, \(G$\) be a closed subset of \(X\), and \((\Omega,\Sigma,\mu )\) be a \(\sigma\)-finite measure space. In this paper we present some results on coproximinality (pointwise coproximinality) of \(L^{p}(\mu,G)\), \(1\leq p\leq \infty\), in \(L^{p}(\mu,X\).

Bibliographic Details
Main Author: Eyad Abu-Sirhan
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2020-12-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1206