Results 31 to 40 of about 843 (275)
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, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) 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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A Countable Economy: An Example
, 2006 Weiss (1981) established core equivalence and the existence of competitive equilibria in finitely additive exchange economies. To underline the relevance of finitely additive economies we present in this note an example with a close connection to finite ...
Tasnádi, Attila
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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 𝐗 be an arbitrary nonempty set and 𝐋 a lattice of subsets of 𝐗 such that ∅, X∈L. 𝐀(𝐋) denotes the algebra generated by 𝐋, and 𝐌(𝐋) denotes those nonnegative, finite, finitely additive measures on 𝐀(𝐋).
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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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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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang +8 more
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Outer measure analysis of topological lattice properties
International Journal of Mathematics and Mathematical Sciences, 1997 Let X be a set and ℒ a lattice of subsets of X such that ∅, X∈ℒ. A(ℒ) is the algebra generated by ℒ, M(ℒ) the set of nontrivial, finite, normegative, finitely additive measures on A(ℒ) and I(ℒ) those elements of M(ℒ) which just assume the values zero and
Setiawati Wibisono
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