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Revision difference : Banach-Krein-\v{S}mulian theorem
Version 14 Version 13
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.
then $C$ is close in $weak^*$-topology.