Mackey compactness in B(S)

Aloisio Araujo (), Jean-Marc Bonnisseau and Alain Chateauneuf
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Aloisio Araujo: IMPA - Brazil

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: Let S be a set equipped with the discrete topology and B(S) be the normed space of bounded real mappings on S, endowed with the sup-norm. In this paper, we first prove that B(S) is the nom dual of the space rca(S) of all regular and bounded Borel measure on S. Then we show that the closed unit ball of B(S) is compact in the Mackey topology t(B(S), rca(S)). We also provide a short presentation of an economic application for an intertemporal allocation of resources

Keywords: Mackey compactness; bounded mappings; regular Borel measure; norm dual (search for similar items in EconPapers)
Pages: 10 pages
Date: 2021-03
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Downloads: (external link)
http://mse.univ-paris1.fr/pub/mse/CES2021/21030.pdf (application/pdf)
https://halshs.archives-ouvertes.fr/halshs-03461538

Related works:
Working Paper: Mackey compactness in B(S) (2021)
Working Paper: Mackey compactness in B(S) (2021)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:21030

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