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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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The Theorems of Lusin and Egoroff
1971A real-valued function f on R is called measurable if f−1(U) is measurable for every open set U in R. f is said to have the property of Baire if f −1 (U) has the property of Baire for every open set U in R. In either definition, U may be restricted to some base, or allowed to run over all Borel sets.
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A SAITÔ–TOMITA–LUSIN THEOREM FOR JB*-TRIPLES AND APPLICATIONS
The 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 \(JB^*\)
Bunce, Leslie J. +3 more
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METRIC DENSITY AND LUSIN'S THEOREM
The Quarterly Journal of Mathematics, 1971Baisnab, A. P., Petersen, G. M.
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A lusin-type theorem for vector fields on the wiener space
Doklady Mathematics, 2010The paper extends \textit{G. Alberti's} [J. Funct. Anal. 100, No. 1, 110--118 (1991; Zbl 0752.46025)] result on Borel vector fields on infinite dimensional Gaussian spaces. The methodology involves estimates that do not depend on the dimension.
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A Constructive Version of the Lusin Separation Theorem
2009I state and prove a constructive version of the Lusin Separation Theorem. The classical statement of the theorem is that disjoint analytic sets are Borel separable. The definitions and results are carried out in the axiom system CZF for constructive set theory.
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Lusin's First Separation Theorem
Journal of the London Mathematical Society, 1971openaire +1 more source
Lusin's Second Separation Theorem
Journal of the London Mathematical Society, 1973openaire +2 more sources

