Sentence examples for strongly measurable from inspiring English sources

We show that if G is an amenable topological group, then the topological group L0(G) of strongly measurable maps from ([0,1],λ) into G endowed with the topology of convergence in measure is whirly amenable, hence extremely amenable.

(b) g is strongly measurable.

Then are strongly measurable, and for any.

Suppose is strongly measurable on, is strongly measurable on and (2.21).

(S4) has a strongly measurable selection on for each.

Combining this fact with the fact that is strongly measurable, it follows that.

If (F Trightarrow E^{n}) is strongly measurable and integrably bounded, then F is integrable.

If (x : I to E^{d}) is strongly measurable and integrably bounded, then x is integrable.

(H2) For all is a closed linear operator,, and is strongly measurable on for each.

t ∈ J and for x ∈ B h, f ( ⋅, ⋅, x ) : [ 0, T ] → X is strongly measurable.

If (F Trightarrow E) is strongly measurable and integrably bounded, then F is integrable.