Geodesic
Topological properties of the complex vector lattice of bounded finitely additive mesures
Commentationes Mathematicae, Tome 53 (2013) no. 2, p. 371−382.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Let \(\Sigma\) be a \(\sigma\)-algebra of subsets of a non-empty set \(\Omega\). Let \(ba(\Sigma)\) be the complex vector lattice of bounded finitely additive measures \(\mu:\Sigma\rightarrow\mathbb{C}\). We study locally solid topologies on \(ba(\Sigma)\). We develop the duality theory of \(ba(\Sigma)\), provided with locally convex-solid topologies.
DOI : 10.14708/cm.v53i2.797
Mots-clés : complex vector lattices, locally solid topologies, spaces of bounded finitely additive measures 
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Marian Nowak. Topological properties of the complex vector lattice of bounded finitely additive mesures. Commentationes Mathematicae, Tome 53 (2013) no. 2, p.  371−382. doi : 10.14708/cm.v53i2.797. http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i2.797/

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