We show that L0 ϕ,H) is extremely amenable for any diffused submeasure ϕ and any solvable compact group H.
In particular, it implies that if H is of the form L0 μ,R), then H is extremely amenable if and only if H has no nontrivial characters.
Using this work, we give an example of a group which is extremely amenable and contains an increasing sequence of compact subgroups with dense union, but which does not contain a Lévy sequence of compact subgroups with dense union.
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.
"Republican-controlled Congresses haven't been extremely amenable to expanding the size of the federal government, but are more inclined to with law enforcement and immigration," Stock told me.
It is therefore extremely amenable to use as a topical antifungal in challenging clinical situations, for instance, as a topical wound dressing for military personnel or those working in remote areas where Mucormycete infection is likely.
We were concerned about the low longitudinal sensitivity of the cytology test but it is well accepted that quality of cytology depends on many factors as is extremely amenable to poor reproducibility.
