Abstract
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.
Citation
Hans Weber. "Decomposition of measures and modular functions." Funct. Approx. Comment. Math. 50 (1) 129 - 150, March 2013. https://doi.org/10.7169/facm/2014.50.1.3
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