Sentence examples for a measurable selection of from inspiring English sources

A measurable function is called a measurable selection of if for every Denote by (2.4).

Then there exists a measurable selection of such that, for any, (21).

Let be two measurable multivalued operators, be a constant and be a measurable selection of.

A measurable mapping is called a measurable selection of the operator if for each.

A operator is called a measurable selection of a multivalued measurable operator if is measurable and for any,.

A measurable selection of F is a measurable map f : Ω → R k satisfying f ∈ F for each ω ∈ Ω.

Since the multivalued operator is measurable (see [64, proposition III4]) there exists a measurable selection for.

Let v 2 be a measurable selection for U (which exists by Kuratowski-Ryll-Nardzewski's selection theorem [21, 22]).

Since the multivalued operator U ( t ) ∩ F ( t, x ̄ ( t ) ) is measurable ([[57], Proposition III.4])), there exists a function v2 t) which is a measurable selection for V.

Since the multivalued operator U ( t ) ∩ F ( t, x ¯ ( t ) ) is measurable (Proposition III.4 [31]), there exists a function v 2 ( t ) which is a measurable selection for U.

Since the multi-valued operator (U t cap F t,bar{x}(t))) is measurable, there exists a function (v_{2}(t)) which is a measurable selection for U.