  We provide an example of a spectrum over S^0 with an H_\infty structure which
does not rigidify to an E_3 structure. It follows that in the category of
spectra over S^0 not every H_\infty ring spectrum comes from an underlying
E_\infty ring spectrum. After comparing definitions, we obtain this example by
applying \Sigma^\infty_+ to the counterexample to the transfer conjecture
constructed by Kraines and Lada.
