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On the Additive Property of Finitely Additive Measures [PDF]
Journal of Theoretical Probability, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finitely additive measures on N
Topology and Its Applications, 1992 AbstractWe study finitely additive measures on N, in particular how nice such a measure can be. We would like our “nice” measures to satisfy the following demand: If Y is obtained from X by a process which makes sets r times as small, from an intuitive point of view, thenμ(Y)=r-1·μ(X) for all X, YϵP(N).
Eric K Van Douwen
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On Finitely Null-additive and Finitely Weakly Null-additive Relative to the σ–ring
مجلة بغداد للعلوم, 2022 This article introduces the concept of finitely null-additive set function relative to the σ– ring and many properties of this concept have been discussed. Furthermore, to introduce and study the notion of finitely weakly null-additive set function
Samah H. Asaad +2 more
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Semipullbacks of labelled Markov processes [PDF]
Logical Methods in Computer Science, 2021 A labelled Markov process (LMP) consists of a measurable space $S$ together with an indexed family of Markov kernels from $S$ to itself. This structure has been used to model probabilistic computations in Computer Science, and one of the main problems in
Jan Pachl, Pedro Sánchez Terraf
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On Finitely Additive Vector Measures [PDF]
Proceedings of the National Academy of Sciences, 1970 In this paper we extend the well-known Vitali-Hahn-Saks and Nikodým theorems for measures to finitely additive vector-valued set functions.
Brooks, J. K., Jewett, R. S.
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Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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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
Jech, Thomas, Prikry, Karel
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Annales Mathematicae Silesianae, 2022 This paper presents a constructive proof of the existence of a regular non-atomic strictly-positive measure on any second-countable non-atomic locally compact Hausdorff space.
Bentley Jason
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More on the extension of linear operators on Riesz spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
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Properties of Functions on a Bounded Charge Space
Analysis and Geometry in Metric Spaces, 2022 A charge space (X, 𝒜, µ) is a generalisation of a measure space, consisting of a sample space X, a field of subsets 𝒜 and a finitely additive measure µ, also known as a charge.
Keith Jonathan M.
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