Results 31 to 40 of about 846 (275)
Convergence in measure under finite additivity [PDF]
Sankhya A, 2013 We investigate the possibility of replacing the topology of convergence in probability with convergence in $L^1$. A characterization of continuous linear functionals on the space of measurable functions is also obtained.
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On maximal measures with respect to a lattice
International Journal of Mathematics and Mathematical Sciences, 1991 Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non-negative finitely additive measure on
James Camacho
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Some topologies on the set of lattice regular measures
International Journal of Mathematics and Mathematical Sciences, 1992 We consider the general setting of A.D. Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, โ. ๐(โ) denotes the algebra of subsets of X generated by โ and MR(โ) the set of all lattice regular, (finitely additive) measures on
Panagiotis D. Stratigos
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MathematicsThis study considers general Markov chains (MCs) with discrete time in an arbitrary phase space. The transition function of the MC generates two operators: T, which acts on the space of measurable functions, and A, which acts on the space of bounded ...
Alexander Zhdanok
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The least core, kernel and bargaining sets of large games [PDF]
, 1998 We study the least core, the kernel and bargaining sets of coalitional games with a countable set of players. We show that the least core of a continuous superadditive game with a countable set of players is a non-empty (norm-compact) subset of the space
Monderer, Dov, Moreno, Diego, Einy, Ezra
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Topological Aspects of the Product of Lattices
International Journal of Mathematics and Mathematical Sciences, 2011 Let ๐ be an arbitrary nonempty set and ๐ a lattice of subsets of ๐ such that โ , XโL. ๐(๐) denotes the algebra generated by ๐, and ๐(๐) denotes those nonnegative, finite, finitely additive measures on ๐(๐).
Carmen Vlad
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Axioms, 2020 We call a subset M of an algebra of sets A a Grothendieck set for the Banach space b a ( A ) of bounded finitely additive scalar-valued measures on A equipped with the variation norm if each sequence μ n n = 1 ...
Juan Carlos Ferrando +2 more
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Integration with Respect to Finitely Additive Measures [PDF]
, 1991 This essay interprets the theory of finitely additive measures within the framework of the theory of Riesz spaces. The following topics are discussed: the extension procedures of measures, the Riemann and the Dunford integration procedures, the Radon ...
Wilhelmus A. J. Luxemburg +1 more
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International Journal of Mathematics and Mathematical Sciences, 2005 Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-one-valued nontrivial, finitely additive measures on A(L), the algebra generated by L, and we introduce other subsets of I(L).
Carmen D. Vlad
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An isomorphism theorem for finitely additive measures [PDF]
Proceedings of the American Mathematical Society, 1955 A problem which is appealing to the intuition in view of the relative frequency interpretation of probability is to define a measure on a countable space which assigns to each point the measure 0. Such a measure of course becomes trivial if it is countably additive. Finitely additive measures of this type have been discussed by R. C. Buck [I] and by E.
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