From finite to countable additivity
Maharam, Dorothy (1987)
Portugaliae mathematica
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Displaying similar documents to “A set function without -additive extension having finitely additive extensions arbitrarily close to -additivity”
From finite to countable additivity
Uniformly countably additive families of measures and group invariant measures.
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.
Completeness of spaces over finitely additive probabilities
S. Gangopadhyay, B. Rao (1999)
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Ultrafilters and Darboux property of finitely additive measure
Vladimír Olejček (1981)
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A unified approach to Riesz type representation theorems
David Pollard, Flemming Topsøe (1975)
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Bogdan Pawlik (1987)
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Stochastic processes and applications to countably additive restriction of group-valued finitely additive measures.
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.