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Domenico Candeloro (2002)
Kybernetika
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In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in -groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
Baltasar Rodríguez-Salinas (1998)
Collectanea Mathematica
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The extension of finitely additive measures that are invariant under a group permutations or mappings has already been widely studied. We have dealt with this problem previously from the point of view of Hahn-Banach's theorem and von Neumann's measurable groups theory. In this paper we construct countably additive measures from a close point of view, different to that of Haar's Measure Theory.
Swartz, Charles (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Charles W. Swartz (1977)
Mathematica Slovaca
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H. Günzler, M. Díaz Carrillo (1989)
Extracta Mathematicae
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S. Gangopadhyay, B. Rao (1999)
Colloquium Mathematicae
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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...