Results 61 to 70 of about 76 (75)

Lusin's theorem for measure preserving homeomorphisms

Mathematika, 1979
We 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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A SAITÔ–TOMITA–LUSIN THEOREM FOR JB*-TRIPLES AND APPLICATIONS

The Quarterly Journal of Mathematics, 2006
Non-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., Fernández-Polo, Francisco J., Martínez Moreno, Juan, Peralta, Antonio M.   +3 more
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A lusin-type theorem for vector fields on the wiener space

Doklady Mathematics, 2010
The 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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METRIC DENSITY AND LUSIN'S THEOREM

The Quarterly Journal of Mathematics, 1971
Baisnab, A. P., Petersen, G. M.
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A Lusin theorem for nonlocal gradients

We extend the celebrated result of Alberti, stating that Borel vector fields coincide with gradients of $C^1$-functions outside of a set of arbitrary small measure. We prove that a similar statement holds true in the setting of fractional gradients and $C^{0,s}-functions.
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A Constructive Version of the Lusin Separation Theorem

2009
I 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, 1971
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Lusin's Second Separation Theorem

Journal of the London Mathematical Society, 1973
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Lusin's Theorem

Real Analysis Exchange, 1990
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A Proof of Lusin's Theorem

The American Mathematical Monthly, 1981
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