Pointwise best coapproximation in the space of Bochner integrable functions

Eyad Abu-Sirhan

doi:10.33993/jnaat492-1206

Authors

Eyad Abu-Sirhan Tafila Technical University, Jordan https://orcid.org/0000-0003-1360-5554

DOI:

https://doi.org/10.33993/jnaat492-1206

Keywords:

best coapproximation , Coproximinal, Banach space.

Abstract views: 225

Abstract

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 $L^{p}(\mu,X$.

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