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Bounded vector measures on effect algebras
Published online by Cambridge University Press: 17 April 2009
Extract
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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 291 - 298
- Copyright
- Copyright © Australian Mathematical Society 2005
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