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Weak convergence and weak compactness in the space of integrable functions with respect to a vector meansure

dc.creatorSwartz, Charles
dc.date2020-02-04
dc.date.accessioned2020-02-05T12:59:08Z
dc.date.available2020-02-05T12:59:08Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3875
dc.identifier10.22199/issn.0717-6279-2020-01-0008
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/123595
dc.descriptionWe consider weak convergence and weak compactness in the space L1(m) of real valued integrable functions with respect to a Banach space calued measure m equipped with its natural norm. We give necessary and sufficient conditions for a sequence in L1(m) to be weak Cauchy, and we give necessary and sufficient conditions for a subset of L1(m) to be conditionally sequentially weakly compact.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/article/view/3875/3334
dc.rightsCopyright (c) 2020 Charles Swartzen-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol 39 No 1 (2020); 123-133en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 1 (2020); 123-133es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectWeak convergenceen-US
dc.subjectWeak compactnessen-US
dc.subjectIntegrable functionsen-US
dc.subjectMeasure and integrationen-US
dc.subject28B15en-US
dc.subjectSet functions, measures and integrals with values in ordered spacesen-US
dc.subject28B20en-US
dc.subjectSet-valued set functions and measures; integration of set-valued functions; measurable selectionsen-US
dc.titleWeak convergence and weak compactness in the space of integrable functions with respect to a vector meansureen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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