Pointwise coproximinality in \(L^p(\mu, X)\)

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DOI:

https://doi.org/10.33993/jnaat521-1328

Keywords:

Best coapproximation, coproximinal, Banach space
Abstract views: 86

Abstract

Let \(X\) be a Banach space, \(G\) be a closed subspace of \(X\), \((\Omega,\Sigma,\mu)\) be a \(\sigma\)-finite measure space, \(L(\mu,X)\) be the space of all strongly measurable functions from \(\Omega\) to \(X\), and \(L^{p}(\mu,X)\) be the space of all Bochner \(p-\)integrable functions from \(\Omega\) to \(X\).
Discussing the relationship between the pointwise coproximinality of \(L(\mu, G)\) in \(L(\mu, X)\) and the pointwise coproximinality of \(L^{p}(\mu, G)\) in \(L^{p}(\mu, X)\) is the purpose of this paper.

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References

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Published

2023-07-10

How to Cite

Abu-Sirhan, E. (2023). Pointwise coproximinality in \(L^p(\mu, X)\). J. Numer. Anal. Approx. Theory, 52(1), 17–21. https://doi.org/10.33993/jnaat521-1328

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