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Start Over Subject modular measures

1. A Dieudonné theorem for lattice group-valued measures

Creator:
Barbieri, Giuseppina
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
effect algebra, Dieudonné theorem, lattice group, and modular measures
Language:
English
Description:
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. An extension theorem for modular measures on effect algebras

Creator:
Barbieri, Giusepina
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
effect algebras, modular measures, extension, Vitali-Hahn-Saks theorem, Nikodým theorem, decomposition theorem, control theorems, range, and Liapunoff theorem
Language:
English
Description:
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public