Topological properties of the complex vector lattice of bounded finitely additive mesures

• Autorzy: Marian Nowak
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

complex vector lattices, locally solid topologies, spaces of bounded finitely additive measures

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: 53
• Numer: 2

Daty

wydano

2013

online

2014-12-15

Twórcy

autor

Marian Nowak

Identyfikatory

DOI

10.14708/cm.v53i2.797