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

• Autorzy: Nowak M.

Identyfikatory

DOI

10.14708/cm.v53i2.797

• Języki publikacji: EN

Abstrakty

EN

Let Σ be a σ-algebra of subsets of a non-empty set Ω. Let ba(Σ) be the complex vector lattice of bounded finitely additive measures μ:Σ→C. We study locally solid topologies on ba(Σ). We develop the duality theory of ba(Σ), provided with locally convex-solid topologies.

Słowa kluczowe

EN

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

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: Vol. 53, No. 2
• Strony: 271--282
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Nowak M.

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4A, 65–516 Zielona Góra, Poland

Bibliografia

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