Bounded vector measures on effect algebras
Hong Taek Hwang, Longlu Li, Hunnam Kim · Bulletin of the Australian Mathematical Society · 2005
Let (L, ⊥, ⊕,0,1) be an effect algebra and X a locally convex space with dual X′. A function μ: L → X is called a measure if μ(a ⊕ b) = μ(a) + μ(b) whenever a⊥b in L and it is bounded if is bounded for each orthogonal sequence {an} in L. We establish five useful conditions that are equivalent to boundedness for vector measures on effect algebras.