Abstract
Using V. Ficker’s and P. Capek’s algebraic approach by ideals a Lebesgue decomposition theorem for a wide class of non-additive set functions called null-additive set functions is obtained. In special cases decompositions theorems for ⊕-decomposable measures andk-triangular set functions are obtained.
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De Lucia, P., Pap, E. Lebesgue decomposition by σ-null-additive set functions using ideals. Rend. Circ. Mat. Palermo 45, 25–36 (1996). https://doi.org/10.1007/BF02845087
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DOI: https://doi.org/10.1007/BF02845087