| Let $E$ be a Banach space and $C \subset E^*$, a convex subset of dual of $E$. If $C$ $\bigcap nB_{E^*}$, $\forall n\geq 1$, is closed set in $weak^*$-topology, |
Let E be a Banach space and $C\subset E^*$, a convex subset of dual of E.If $C$ $\bigcap nB_{E^*}$, $\forall n$ is closed set in weak^*-topology, then $C$ is close in weak^*-topology. |