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