Results 91 to 100 of about 122 (108)
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Lusin's theorem on monotone measure spaces
Fuzzy Sets and Systems, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar
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Mathematical Notes, 1978
In [1, 2], Lusin published a theorem (with proof) asserting that a very simple set constructed by him is not Borel. Lunina [3] discovered an error in Lusin's proof. It is proved that Lusin's theorem is nonetheless valid.
Vladimir Kanovei, Kanovei V G
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In [1, 2], Lusin published a theorem (with proof) asserting that a very simple set constructed by him is not Borel. Lunina [3] discovered an error in Lusin's proof. It is proved that Lusin's theorem is nonetheless valid.
Vladimir Kanovei, Kanovei V G
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Lusin's Theorem for monotone set-valued measures on topological spaces
Fuzzy Sets and Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianrong Wu
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A SAITÔ–TOMITA–LUSIN THEOREM FOR JB*-TRIPLES AND APPLICATIONS
Quarterly Journal of Mathematics, 2006Non-commutative versions of the classical theorems by Egoroff and Lusin were provided in [\textit{M.\,Tomita}, Math.\ J.\ Okayama Univ.\ 9, 63--98 (1959; Zbl 0204.14605)] and [\textit{K.\,Saito}, Tohoku Math.\ J. (2) 19, 332--340 (1967; Zbl 0161.11002)] in the context of \(C^*\)-algebras. In the paper under review, those results are extended to \(JB^*\)
Leslie J Bunce +2 more
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A Remark on the Theorems of Lusin and Egoroff
Canadian Mathematical Bulletin, 1964In this note we do not intend to establish new results but only to suggest a very simple proof of Lusin's theorem, direct for σ-finite regular measures, a proof that bypasses the usual procedure of first establishing this theorem for sets of finite measure only.
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On Lusin’s Theorem for Non-additive Measure
2011In this paper, we prove Lusin’s theorem remains valid for nonadditive Borel measure under the conditions of weakly null additivity, continuity from above and a certain additional continuity.
Tamaki Tanaka, Toshikazu Watanabe
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A Lusin theorem for a class of Choquet capacities
Statistical Papers, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castaldo, Adriana, Marinacci, Massimo
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Lusin's theorem for measure preserving homeomorphisms
Mathematika, 1979We are concerned with invertible transformations of the unit n-dimensional cube In, 2 ≤ n ≤ ∞, which preserve n-dimensional Lebesgue measure μ. Following Halmos [4], we denote the space of all such transformations by G = G(In), and the subset of G consisting of homeomorphisms by M = M(In). We ask to what extent, and in what sense, can we approximate an
Alpern, Steve, Edwards, Robert D.
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