A note on measure extension problem of $\ell$-group-valued measures

Year, pages: 2009, 187 - 189

For an Abelian, Archimedean Dedekind complete lattice-ordered, weakly $σ$-distributive group $G$ and an algebra $\mathcal{F}$ of subsets of a set $X,$ every positive measure $ μ \colon \mathcal{F} \to G$ has a unique countably additive (in order convergence) extension to $σ$-algebra generated by $ \mathcal{F}$.

Khurana, S. 2009. A note on measure extension problem of $\ell$-group-valued measures. In Tatra Mountains Mathematical Publications, vol. 42, no.1, pp. 187-189. 1210-3195.

Khurana, S. (2009). A note on measure extension problem of $\ell$-group-valued measures. Tatra Mountains Mathematical Publications, 42(1), 187-189. 1210-3195.