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A note on measure extension problem of ℓ-group-valued measures


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For an Abelian, Archimedean Dedekind complete lattice-ordered, weakly σ-distributive group G and an algebra Ƒ

of subsets of a set X, every positive measure μ: Ƒ→G has a unique countably additive (in order convergence) extension to σ-algebra generated by Ƒ.

ISSN:
1210-3195
Język:
Angielski
Częstotliwość wydawania:
3 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics