Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/6141
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dc.contributor.authorKoyama, Akira-
dc.contributor.authorStasyuk, Ihor-
dc.contributor.authorTymchatyn, Edward-
dc.contributor.authorZagorodnyuk, Andriy-
dc.date.accessioned2020-04-24T17:24:51Z-
dc.date.available2020-04-24T17:24:51Z-
dc.date.issued2010-05-26-
dc.identifier.citationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 138, Number 11, November 2010, Pages 4149–4155uk_UA
dc.identifier.issn1088-6826-
dc.identifier.urihttp://hdl.handle.net/123456789/6141-
dc.descriptionhttps://doi.org/10.1090/S0002-9939-2010-10424-0uk_UA
dc.description.abstractLet (X, d) be a complete metric space. We prove that there is a continuous, linear, regular extension operator from the space C∗ b of all partial, continuous, real-valued, bounded functions with closed, bounded domains in X to the space C∗(X) of all continuous, bounded, real-valued functions on X with the topology of uniform convergence on compact sets. This is a variant of a result of Kunzi and Shapiro for continuous functions with compact, variable domains.uk_UA
dc.description.sponsorshipThe second, third, and fourth authors were supported in part by NSERC grant No. OGP 0005616.uk_UA
dc.language.isoen_USuk_UA
dc.publisherAmerican Mathematical Societyuk_UA
dc.relation.ispartofseries138;4149–4155-
dc.subjectExtension of functions, continuous linear operator, metric space.uk_UA
dc.titleContinuous linear extension of functionsuk_UA
dc.typeArticleuk_UA
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