Results 61 to 70 of about 76 (75)

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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The Theorems of Lusin and Egoroff

1971
A 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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Lusin's Theorem for monotone set-valued measures on topological spaces

Fuzzy Sets and Systems, 2019
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Yi Wu, Jianrong Wu
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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 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 Theorem

Real Analysis Exchange, 1990
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Lusin's Second Separation Theorem

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

The American Mathematical Monthly, 1981
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