A set function without -additive extension having finitely additive extensions arbitrarily close to -additivity
Jörn Lembcke (1980)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Uniformly countably additive families of measures and group invariant measures.”
A set function without -additive extension having finitely additive extensions arbitrarily close to -additivity
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Maharam, Dorothy (1987)
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D. Candeloro, A. Martellotti (1996)
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As an application of a theorem concerning a general stochastic process in a finitely additive probability space, the existence of non-atomic countably additive restrictions with large range is obtained for group-valued finitely additive measures.
Finitely additive invariant measures. I
Jan Mycielski (1979)
Colloquium Mathematicae
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Antonio Boccuto (1995)
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Representations of bimeasures
Kari Ylinen (1993)
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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.
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...