Topological semigroups and representations. I
Topological semigroups and representations. I
Let $S$ be a topological semigroup (separately continuous multiplication) with identity and $W(S)$ the Banach space of all weakly almost periodic functions on $S$. It is well known that if $S = G$ is a locally compact group, then $W(G)$ always has a (unique) invariant mean. In other words, there …