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dc.contributor.authorHess, Christian
dc.contributor.authorBarbati, Alberto
dc.date.accessioned2011-06-14T08:04:32Z
dc.date.available2011-06-14T08:04:32Z
dc.date.issued1998
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6484
dc.language.isoenen
dc.subjectset-valued mapen
dc.subjecthyperspaceen
dc.subjectEffros measurabilityen
dc.subjectscalar measurabilityen
dc.subjectanalytic spaceen
dc.subjectconvex setsen
dc.subject.ddc515en
dc.titleThe Largest Class of Closed Convex Valued Multifunctions for which Effros Measurability and Scalar Measurability Coincideen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper deals with the comparison of Effros measurability and scalar measurability for multifunctions whose values lie in C(X), the set of closed convex subsets of a normed linear space X. An introductory counter-example shows that, on C(X), the Effros measurability is strictly stronger than the scalar measurability. Then, we introduce the notion of countably supported subspace of C(X). After some preparatory results and examples about this class of convex subsets, we show that on an analytic countably supported subspace of C(X), the Effros and the scalar C of C(X), nonnecessarily analytic, the Effros and scalar C is countably supported. This leads us to exhibit and study a wide class of subspaces of C(X) both countably supported and analytic. At last, we compare our results with the already existing ones and we briefly show how our main results can be extended to the case where X is a locally convex vector space.en
dc.relation.isversionofjnlnameSet-Valued Analysis
dc.relation.isversionofjnlvol6en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate1998
dc.relation.isversionofjnlpages209-236en
dc.relation.isversionofdoihttp://dx.doi.org/10.1023/A:1008690517467en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


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