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Convergence of metric-measure spaces
2009The central question in this chapter is the following:What does it mean to say that a metric-measure space (X, d x , vx ) is “close” to another metric-measure space (Y, d y , vy )? We would like to have an answer that is as “intrinsic” as possible, in the sense that it should depend only on the metric-measure properties of X and Y.
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On Weak Convergence of Probability Measures in a Banach Space
Journal of Mathematical Sciences, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Weak Convergence of Probability Measures in Orlicz Spaces
Theory of Probability & Its Applications, 1996Necessary and sufficient conditions for weak convergence of probability measures in separable Orlicz spaces in terms of characteristic functionals and norm moments are given.
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Stochastic convergence, uniform integrability and convergence in mean on fuzzy measure spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Inés Couso, Susana Montes, Pedro Gil
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Harmonic Functions on Metric Measure Spaces: Convergence and Compactness
Potential Analysis, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaczkowski, Michał, Górka, Przemysław
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On the convergence of measurable set-valued function sequence on fuzzy measure space
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On convergence of information in spaces with infinite invariant measure
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1968The paper extends the ergodic theorems of information theory (Shannon-MacMillan-Breiman theorems) to spaces with an infinite invariant measure. An L1 difference theorem and a pointwisa ratio theorem are proved, for the information of spreading partitions. For the validity of the theorems it is assumed that the supremum f* of the conditional information
Klimko, E. M., Sucheston, L.
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FUZZY CONVERGENCE VERSUS WEAK CONVERGENCE IN SPACES OF PROBABILITY MEASURES
1984If X is a separable metrizable space, then on the set \({\mathcal M}(X)\) of all probability measures on X, the structure most frequently used is the weak topology, also called topology of weak convergence. In Math. Nachr. 115, 33-57 (1984; Zbl 0593.54006), the author introduced an alternative structure, a fuzzy topology, the topological modification ...
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Convergence theorems for measures with values in Riesz spaces.
Kybernetika, 2002Summary: In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in \(l\)-groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
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On Weak Convergence and Convergence in Measure of Transformations in Topological Measure Spaces
Journal of the London Mathematical Society, 1968openaire +2 more sources

