Ultrafilters and Darboux property of finitely additive measure
Vladimír Olejček (1981)
Mathematica Slovaca
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Vladimír Olejček (1981)
Mathematica Slovaca
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Jörn Lembcke (1980)
Czechoslovak Mathematical Journal
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Bogdan Pawlik (1987)
Colloquium Mathematicae
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S. Gangopadhyay, B. Rao (1999)
Colloquium Mathematicae
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Maharam, Dorothy (1987)
Portugaliae mathematica
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Kari Ylinen (1993)
Studia Mathematica
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Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.