Displaying similar documents to “Effect algebras and extensions of measures”

On Dieudonné's Boundedness Theorem

Giuseppina Barbieri (2009)

Bollettino dell'Unione Matematica Italiana

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We generalize the classical Dieudonné boundedness theorem for modular measures on lattice ordered effect algebras.

A Dieudonné theorem for lattice group-valued measures

Giuseppina Barbieri (2019)

Kybernetika

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A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattice ordered effect algebras. In this way we generalize some results proved in the real-valued case.

Lyapunov measures on effect algebras

Anna Avallone, Giuseppina Barbieri (2003)

Commentationes Mathematicae Universitatis Carolinae

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We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.

An extension theorem for modular measures on effect algebras

Giuseppina Barbieri (2009)

Czechoslovak Mathematical Journal

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We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodým theorems and range theorems to this setting.