{"title":"Pointwise best coapproximation in the space of Bochner integrable functions","authors":"Eyad Abu-Sirhan","doi":"10.33993/jnaat492-1206","DOIUrl":null,"url":null,"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\\).","PeriodicalId":287022,"journal":{"name":"Journal of Numerical Analysis and Approximation Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical Analysis and Approximation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33993/jnaat492-1206","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
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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