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 \(L^{p}(\mu,X\).
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Format: | Article |
Language: | English |
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Publishing House of the Romanian Academy
2020-12-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
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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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first_indexed | 2024-03-13T01:12:52Z |
format | Article |
id | doaj.art-a2c9392fdc7a435baae9f72e61ee210a |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-03-13T01:12:52Z |
publishDate | 2020-12-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
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 |