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 |
| Subjects: | |
| Online Access: | http://localhost/journal/article/view/1206 |
| _version_ | 1797848044289392640 |
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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 | 2024-04-09T18:21:02Z |
| format | Article |
| id | doaj.art-7190b3ac50a144408407b04e89bcf9a2 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-09T18:21:02Z |
| 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-7190b3ac50a144408407b04e89bcf9a22023-04-12T06:09:13ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2020-12-0149210.33993/jnaat492-1206Pointwise 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/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/journal/article/view/1206 |
| work_keys_str_mv | AT eyadabusirhan pointwisebestcoapproximationinthespaceofbochnerintegrablefunctions |