Results 21 to 30 of about 821 (276)

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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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 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, Manuel López-Pellicer, Santiago Moll-López   +2 more
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Finitely additive functions in measure theory and applications [PDF]

Opuscula Mathematica
In 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, G. Trombetta, D. Caponetti   +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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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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On maxitive integration [PDF]

, 2013
The Shilkret integral is maxitive (i.e., the integral of a pointwise supremum of functions is the supremum of their integrals), but defined only for nonnegative functions.
Cattaneo, Marco E. G. V.
core   +1 more source

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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