Results 71 to 80 of about 103 (89)

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.
openaire   +1 more source

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.
openaire   +2 more sources

METRIC DENSITY AND LUSIN'S THEOREM

The Quarterly Journal of Mathematics, 1971
Baisnab, A. P., Petersen, G. M.
openaire   +2 more sources

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.
openaire   +1 more source

Lusin's First Separation Theorem

Journal of the London Mathematical Society, 1971
openaire   +1 more source

Lusin's Theorem

Real Analysis Exchange, 1990
openaire   +1 more source

Lusin's Second Separation Theorem

Journal of the London Mathematical Society, 1973
openaire   +2 more sources

Set-valued Lusin type theorem for null–null-additive set multifunctions

Fuzzy Sets and Systems, 2012
Alina Gavrilut
exaly  

On Lusin's theorem for non-additive measures that take values in an ordered topological vector space

Fuzzy Sets and Systems, 2014
Tamaki Tanaka
exaly  

Regularity and Lusin's theorem for Riesz space-valued fuzzy measures

Fuzzy Sets and Systems, 2007
Jun Kawabe
exaly