A theorem in additive number theory
Roger Crocker (1969)
Colloquium Mathematicae
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Displaying similar documents to “On strongly additive set functions”
A theorem in additive number theory
On additive functions with a non-decreasing normal order
W. Narkiewicz (1974)
Colloquium Mathematicae
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On additive functions having a non-decreasing normal order
I. Kátai (1977)
Colloquium Mathematicae
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Additive f-bimorphisms and Cosine Type Equations
C.-S. Lin, Y.J. Cho (1997)
Publications de l'Institut Mathématique
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On the continuity of certain non-additive set functions
L. Drewnowski (1978)
Colloquium Mathematicae
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Strongly additive functions on lattices
Goeffrey Fox, Pedro Morales (1973)
Fundamenta Mathematicae
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Approximately additive set functions
Bogdan Pawlik (1987)
Colloquium Mathematicae
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On the determination of an additive arithmetical function by its local behaviour
I. Kátai (1969)
Colloquium Mathematicae
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On some modifications of two theorems of Erdős
Katalin Kovács (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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On subaddidive and Ψ-additive mappings
Janusz Matkowski (2004)
Open Mathematics
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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.
Problem 24 of the "Scottish book'' concerning additive functionals
Iwo Labuda, R. Daniel Mauldin (1984)
Colloquium Mathematicae
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Vector Measures, c₀, and (sb) Operators
Elizabeth M. Bator, Paul W. Lewis, Dawn R. Slavens (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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Emmanuele showed that if Σ is a σ-algebra of sets, X is a Banach space, and μ: Σ → X is countably additive with finite variation, then μ(Σ) is a Dunford-Pettis set. An extension of this theorem to the setting of bounded and finitely additive vector measures is established. A new characterization of strongly bounded operators on abstract continuous function spaces is given. This characterization motivates the study of the set of (sb) operators. This class of maps is used to extend results...