A characterization of regular averaging operators and its consequences

Argyros, SA; Arvanitakis, AD

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Arvanitakis, AD	en
dc.date.accessioned	2014-03-01T01:17:20Z
dc.date.available	2014-03-01T01:17:20Z
dc.date.issued	2002	en
dc.identifier.issn	0039-3223	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14467
dc.subject.classification	Mathematics	en
dc.subject.other	MILUTIN	en
dc.title	A characterization of regular averaging operators and its consequences	en
heal.type	journalArticle	en
heal.identifier.primary	10.4064/sm151-3-2	en
heal.identifier.secondary	http://dx.doi.org/10.4064/sm151-3-2	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We present a characterization of continuous surjections, between compact metric spaces, admitting a regular averaging operator. Among its consequences, concrete continuous surjections from the Cantor set C to [0, 1] admitting regular averaging operators are exhibited. Moreover we show that the set of this type of continuous surjections from C to [0, 1] is dense in the supremum norm in the set of all continuous surjections. The non-metrizable case is also investigated. As a consequence, we obtain a new characterization of Eberlein compact sets.	en
heal.publisher	POLISH ACAD SCIENCES INST MATHEMATICS	en
heal.journalName	Studia Mathematica	en
dc.identifier.doi	10.4064/sm151-3-2	en
dc.identifier.isi	ISI:000179157000002	en
dc.identifier.volume	151	en
dc.identifier.issue	3	en
dc.identifier.spage	207	en
dc.identifier.epage	226	en