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Creator:: Barbieri, Giuseppina
Format:: bez média and svazek
Type:: model:article and TEXT
Subject:: MV-algebras, measures, Dieudonné theorem, convergence, and regular maps
Language:: English
Description:: We obtain for measures on MV-algebras the classical theorem of Dieudonné related to convergent sequences of regular maps.
Rights:: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

Creator:: Weber, Hans
Format:: bez média and svazek
Type:: model:article and TEXT
Subject:: complemented lattices, orthomodular lattices, exhaustive modular functions, measures, extension, Vitali-Hahn-Saks theorem, Nikodým theorems, and Liapunoff theorem
Language:: English
Description:: We prove an extension theorem for modular functions on arbitrary lattices and an extension theorem for measures on orthomodular lattices. The first is used to obtain a representation of modular vector-valued functions defined on complemented lattices by measures on Boolean algebras. With the aid of this representation theorem we transfer control measure theorems, Vitali-Hahn-Saks and Nikodým theorems and the Liapunoff theorem about the range of measures to the setting of modular functions on complemented lattices.
Rights:: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

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