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On Focal Borel Probability Measures

dc.contributor.authorGarcía Pacheco, Francisco Javier 
dc.contributor.authorRivero-Dones, Jorge
dc.contributor.authorVillegas Vallecillos, Moisés 
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2023-05-15T12:25:43Z
dc.date.available2023-05-15T12:25:43Z
dc.date.issued2022-11
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10498/28545
dc.description.abstractThe novel concept of focality is introduced for Borel probability measures on compact Hausdorff topological spaces. We characterize focal Borel probability measures as those Borel probability measures that are strictly positive on every nonempty open subset. We also prove the existence of focal Borel probability measures on compact metric spaces. Lastly, we prove that the set of focal (regular) Borel probability measures is convex but not extremal in the set of all (regular) Borel probability measures.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceMathematics, Vol. 10, Núm. 22, 2022es_ES
dc.subjectborel σ-algebraes_ES
dc.subjectprobability measurees_ES
dc.subjectcompact Hausdorff topological spacees_ES
dc.subjectcompact metric spacees_ES
dc.titleOn Focal Borel Probability Measureses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.3390/math10224365
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-101514-B-I00/ES/METODOS ANALITICOS EN SIMETRIAS, TEORIA DE CONTROL Y OPERADORES/ es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/Junta de Andalucía//FEDER-UCA18-105867es_ES
dc.type.hasVersionVoRes_ES


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This work is under a Creative Commons License Atribución 4.0 Internacional