Results 21 to 30 of about 23,097 (257)
Remarks on continuously distributed sequences
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the first part of the paper we define the notion of the density as certain type of finitely additive probability measure and the distribution function of sequences with respect to the density.
M. Paštéka
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On projections of finitely additive measures [PDF]
Proceedings of the American Mathematical Society, 1979 A theorem of Z. Frolík and M. E. Rudin states that for every two-valued measure μ \mu on N, if F : N → N F:N \to N is such that F ∗ ( μ ) = μ {F_ \ast }(\mu ) = \mu then
Jech, Thomas, Prikry, Karel
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Finitely-additive, countably-additive and internal probability measures [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2019 We discuss two ways to construct standard probability measures, called push-down measures, from internal probability measures. We show that the Wasserstein distance between an internal probability measure and its push-down measure is infinitesimal. As an application to standard probability theory, we show that every finitely-additive Borel probability ...
Duanmu, Haosui, Weiss, William
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On Four Classical Measure Theorems
Mathematics, 2021 A subset B of an algebra A of subsets of a set Ω has property (N) if each B-pointwise bounded sequence of the Banach space ba(A) is bounded in ba(A), where ba(A) is the Banach space of real or complex bounded finitely additive measures defined on A ...
Salvador López-Alfonso +2 more
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Finitely Additive Gleason Measures [PDF]
Proceedings of the American Mathematical Society, 1992 We describe the set of all finitely additive measures which attain also infinite values on a quantum logic of a Hilbert space and which are expressible via the generalized Gleason-Lugovaja-Sherstnev formula. We prove that this set consists of those which are regular with respect to the set of all finite-dimensional subspaces.
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Finitely additive functions in measure theory and applications [PDF]
Opuscula MathematicaIn this paper, we consider, and make precise, a certain extension of the Radon-Nikodym derivative operator, to functions which are additive, but not necessarily sigma-additive, on a subset of a given sigma-algebra.
Daniel Alpay, Palle Jorgensen
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Rearrangement and Convergence in Spaces of Measurable Functions
Journal of Inequalities and Applications, 2007 We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta +2 more
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The Topological Pressure of Linear Cellular Automata
Entropy, 2009 This elucidation studies ergodicity and equilibrium measures for additive cellular automata with prime states. Additive cellular automata are ergodic with respect to Bernoulli measure unless it is either an identity map or constant.
Chih-Hung Chang, Jung-Chao Ban
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Some remarks concerning finitely Subadditive outer measures with applications
International Journal of Mathematics and Mathematical Sciences, 1998 The present paper is intended as a first step toward the establishment of a general theory of finitely subadditive outer measures. First, a general method for constructing a finitely subadditive outer measure and an associated finitely additive measure ...
John E. Knight
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Smoothness conditions on measures using Wallman spaces
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, X denotes an arbitrary nonempty set, ℒ a lattice of subsets of X with ∅,X∈ℒ,A(ℒ) is the algebra generated by ℒ and M(ℒ) is the set of nontrivial, finite, and finitely additive measures on A(ℒ), and MR(ℒ) is the set of elements of M(ℒ ...
Charles Traina
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