Continuous linear extension of functions

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/6141

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DC Field	Value	Language
dc.contributor.author	Koyama, Akira	-
dc.contributor.author	Stasyuk, Ihor	-
dc.contributor.author	Tymchatyn, Edward	-
dc.contributor.author	Zagorodnyuk, Andriy	-
dc.date.accessioned	2020-04-24T17:24:51Z	-
dc.date.available	2020-04-24T17:24:51Z	-
dc.date.issued	2010-05-26	-
dc.identifier.citation	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 138, Number 11, November 2010, Pages 4149–4155	uk_UA
dc.identifier.issn	1088-6826	-
dc.identifier.uri	http://hdl.handle.net/123456789/6141	-
dc.description	https://doi.org/10.1090/S0002-9939-2010-10424-0	uk_UA
dc.description.abstract	Let (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.sponsorship	The second, third, and fourth authors were supported in part by NSERC grant No. OGP 0005616.	uk_UA
dc.language.iso	en_US	uk_UA
dc.publisher	American Mathematical Society	uk_UA
dc.relation.ispartofseries	138;4149–4155	-
dc.subject	Extension of functions, continuous linear operator, metric space.	uk_UA
dc.title	Continuous linear extension of functions	uk_UA
dc.type	Article	uk_UA
Appears in Collections:	Статті та тези (ФМІ)

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