If the space of all real-valued functions of bounded variation on a real closed interval is endowed with the topology of simple convergence, then every bounded subset which is bounded for the values ...

We determine the general solution of the functional equation $f(x + y) + f(x - y) = A(y)f(x)\quad (x, y \in G),$ where G is a 2-divisible abelian group, f is a vector ...