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:http://localhost/jnaat/journal/article/view/1206
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author Eyad Abu-Sirhan
author_facet Eyad Abu-Sirhan
author_sort Eyad Abu-Sirhan
collection DOAJ
description 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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spelling doaj.art-a2c9392fdc7a435baae9f72e61ee210a2023-07-05T17:34:06ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2020-12-01492Pointwise best coapproximation in the space of Bochner integrable functionsEyad Abu-Sirhan0Tafila Technical University, Jordan 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 \(L^{p}(\mu,X\). http://localhost/jnaat/journal/article/view/1206best coapproximation , Coproximinal, Banach space.
spellingShingle Eyad Abu-Sirhan
Pointwise best coapproximation in the space of Bochner integrable functions
Journal of Numerical Analysis and Approximation Theory
best coapproximation , Coproximinal, Banach space.
title Pointwise best coapproximation in the space of Bochner integrable functions
title_full Pointwise best coapproximation in the space of Bochner integrable functions
title_fullStr Pointwise best coapproximation in the space of Bochner integrable functions
title_full_unstemmed Pointwise best coapproximation in the space of Bochner integrable functions
title_short Pointwise best coapproximation in the space of Bochner integrable functions
title_sort pointwise best coapproximation in the space of bochner integrable functions
topic best coapproximation , Coproximinal, Banach space.
url http://localhost/jnaat/journal/article/view/1206
work_keys_str_mv AT eyadabusirhan pointwisebestcoapproximationinthespaceofbochnerintegrablefunctions