Given a topological group G let C(G) denote the Banach space of bounded, continous real valued function on G. Eberlein [1] defined a function f ∈ C(G) to be weakly almost periodic if the weak closure of all of its translates is compact in the weak topology on C(G) — in other words, if fx(y) is defined to be f(yx−1) then the weak closure of {fx | x ∈ G} is weakly compact. The set of weakly almos...
