Decomposition of measures and modular functions
Hans Weber · Functiones et Approximatio Commentarii Mathematici · 2014
We deal with decomposition theorems for measures on Boolean algebras or -- more generally -- for modular functions on lattices. In particular, for measures on Boolean algebras with values in locally solid $\ell$-groups we compare decomposition theorems obtained with the Frechét-Nikodým-approach and decomposition theorems obtained using the band decomposition theorem of Riesz.