When is an invariant mean the limit of a Følner net?

John Hopfensperger

Let $G$ be a locally compact amenable group, $TLIM(G)$ the topological left-invariant means on $G$, and $TLI{M}_0(G)$ the limit points of Folner-nets. I show that $TLIM_0(G) = TLIM(G…