Proceedings of the American Mathematical Society, Vol. 54, No. 1 (Jan., 1976), pp. 355-359 (5 pages) Let X and Y be topological spaces, let S be a dense subspace of X, and let f: S → Y be continuous.

We show that a locally compact group G has equivalent right and left uniform structures if (and only if) the sets of bounded, complex-valued, right and left uniformly ...