On discontinuous additive functions
Marcin Kuczma (1970)
Fundamenta Mathematicae
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Displaying similar documents to “On boundedness and discontinuity of additive functions”
On discontinuous additive functions
A necessary and sufficient condition for continuity of additive functions
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On additive functions having a non-decreasing normal order
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On additive functions with a non-decreasing normal order
W. Narkiewicz (1974)
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A theorem in additive number theory
Roger Crocker (1969)
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Approximately additive set functions
Bogdan Pawlik (1987)
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L. Drewnowski (1978)
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Boundedness and continuity of additive and convex functionals.
R. Ger, Z. Kominek (1989)
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Representations of bimeasures
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.