Almost Convergent and Weakly Almost Periodic Functions on a Semigroup
Almost Convergent and Weakly Almost Periodic Functions on a Semigroup
Let $S$ be a topological semigroup, ${\text {US}}(S)$ the set of all bounded uniformly continuous functions on $S,{\text {WAP(}}S)$ the set of all (bounded) weakly almost periodic functions on $S,{E_0}(S): = \{ f \in {\text {UC(}}S):m(|f|) = 0$ for each left and right invariant mean $m$ on ${\text {UC(}}S)\}$ and …