Abstract: | Abstract A separable FK-space E has the Wilansky Property if whenever F is an FK-space contained and dense in E with Fβ = Eβ then F = E. In 1987 G. Bennett and W. Stadler independently showed that if E and EB are both Bk—AK spaces then E has the Wilansky Property. In 1990 D. Noll relaxed the AK condition by arguing if E, Ef are Bk—Ad spaces and if Eβ is separable then E has the Wilansky Property. In this note we show that Noll's result is in fact equivalent to the original Bennett/Stadler result. |