RT journal article
T1 Measures on effect algebras
A1 Barbieri, Giuseppina
A1 García Pacheco, Francisco Javier
A1 Moreno Pulido, Soledad
A2 Matemáticas
K1 effect algebra
K1 lattice
K1 poset
K1 measure
AB We study measures defined on effect algebras. We characterize real-valued measures on effect algebras and find a class of effect algebras, that include the natural effect algebras of sets, on which sigma-additive measures with values in a finite dimensional Banach space are always bounded. We also prove that in effect algebras the Nikodym and the Grothendieck properties together imply the Vitali-Hahn-Saks property, and find an example of an effect algebra verifying the Vitali-Hahn-Saks property but failing to have the Nikodym property. Finally, we define the concept of variation for vector measures on effect algebras proving that in effect algebras verifying the Riesz Decomposition Property, the variation of a finitely additive vector measure is a finitely additive positive measure.
PB De Gruyter
SN 1337-2211
YR 2019
FD 2019
LK http://hdl.handle.net/10498/30493
UL http://hdl.handle.net/10498/30493
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026