Completeness of spaces over finitely additive probabilities
S. Gangopadhyay, B. Rao (1999)
Colloquium Mathematicae
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S. Gangopadhyay, B. Rao (1999)
Colloquium Mathematicae
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A. Olubummo (1969)
Mathematica Scandinavica
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D. Candeloro, A. Martellotti (1996)
Collectanea Mathematica
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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.
M.Bhaskara Rao, Avner Halevy (1977)
Journal für die reine und angewandte Mathematik
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Pavel Pták (1987)
Colloquium Mathematicae
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Marek Kanter (1976)
Colloquium Mathematicae
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Jan K. Pachl (1978)
Mathematica Scandinavica
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Boško Živaljević (1986)
Publications de l'Institut Mathématique
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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.
J.C. Ferrando, M. López-Pellicer (1990)
Mathematische Annalen
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Bouzar, N. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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A. Kamiński, P. N. Rathie, Lilian T. Sheng (1984)
Annales Polonici Mathematici
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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.
Lasserre, Jean B. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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