Let $ X $ be a topological vector space with dual $ X^{\ast} $. Has $ X $ Hahn-Banach Extension Property, if $ X^{\ast} $ separates points of $ X $ ? (Hahn-Banach Extension Property is that: if whenever $ f $ is a continuous linear functional on a subspace $ E $ of $ X $ then $ f $ has an extension $ F \in X^{\ast} $ )
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