Sentence examples for be a weakly measurable from inspiring English sources

Let (x cdot):Trightarrow E) be a weakly measurable function.

Let x : T → E be a weakly measurable function.

t ∈ T. (b) A function x : T → E is said to be weakly measurable (or scalarly measurable) on T if for every x ∗ ∈ E ∗, the real-valued function t ↦ 〈 x ∗, x ( t ) 〉 is Lebesgue measurable on T. It is well known that a weakly measurable and almost separable valued function x : T → E is strongly measurable [[14], Theorem 1.1].  .

A function x : T → E is said to be weakly measurable (or scalarly measurable) on T if for every x ∗ ∈ E ∗, the real-valued function t ↦ 〈 x ∗, x ( t ) 〉 is Lebesgue measurable on T. It is well known that a weakly measurable and almost separable valued function x : T → E is strongly measurable [[14], Theorem 1.1].

A weakly measurable correspondence with non-empty closed values from a measurable space into a Polish space admits a measurable selector.

A.xylosoxidans is a weakly virulent microorganism.

If ((T,mathcal{A})) is a measurable space, a multifuncion (F Tto 2^{V}) is said to be measurable (resp., weakly measurable) if for any closed (resp., open) set (Wsubseteq V) one has (F^(W in mathcal{A}).

A mapping is said to be a measurable selection of a measurable mapping, if is measurable and a.e.

For a correspondence F : T → 2 Y from a measurable space into a metrizable space, we have that if F is measurable, then it is also weakly measurable and if F is compact valued and weakly measurable, it is measurable.

It is called weakly measurable if (varphi^{-1}_(B inSigma), for each open (Bsubset Y), or equivalently, if (varphi^{-1}(B inSigma), for each closed (Bsubset Y).

Suppose that operator-valued function q(x) is weakly measurable, ∥q(x)∥ is bounded on [0, ∞), q* x) = q(x)∀x ∈ [o, ∞).