Transition vector measures and multimeasures and parametric set-valued integrals

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:13:29Z
dc.date.available	2014-03-01T01:13:29Z
dc.date.issued	1997	en
dc.identifier.issn	0035-7596	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12502
dc.subject	Mackey topology	en
dc.subject	Narrow topology	en
dc.subject	Polish space	en
dc.subject	Radon-Nikodym derivative	en
dc.subject	Support function	en
dc.subject	Transition measure	en
dc.subject	Transition multimeasure	en
dc.subject.classification	Mathematics	en
dc.subject.other	THEOREMS	en
dc.title	Transition vector measures and multimeasures and parametric set-valued integrals	en
heal.type	journalArticle	en
heal.identifier.primary	10.1216/rmjm/1181071899	en
heal.identifier.secondary	http://dx.doi.org/10.1216/rmjm/1181071899	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this paper we examine transition vector measures and multimeasures. First we prove a Radon-Nikodym theorem for transition vector measures and then we use it to establish the existence of a set-valued Radon-Nikodym derivative for transition multimeasures. Subsequently, we examine parametric set-valued integrals and obtain two results characterizing their measurable selectors (integral versions of Filippov's implicit function lemma). We conclude with a useful observation concerning transition measures.	en
heal.publisher	ROCKY MT MATH CONSORTIUM	en
heal.journalName	Rocky Mountain Journal of Mathematics	en
dc.identifier.doi	10.1216/rmjm/1181071899	en
dc.identifier.isi	ISI:000071627100013	en
dc.identifier.volume	27	en
dc.identifier.issue	3	en
dc.identifier.spage	877	en
dc.identifier.epage	888	en