Displaying similar documents to “Completeness and modular cross-symmetry in normed linear spaces”

Two extension theorems. Modular functions on complemented lattices

Hans Weber (2002)

Czechoslovak Mathematical Journal

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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...