Some Remarks on the Weak Topology of Locally Convex Spaces
Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 155

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In this note we show that if $(E,\|\cdot\|)$ is a Banach space of infinite dimension then the spaces $(E,\sigma(E,E'))$ and $(E',\sigma(E',E))$ are not spaces of type $DF$.
Classification : 46A05
Stojan Radenović. Some Remarks on the Weak Topology of Locally Convex Spaces. Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 155 . http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a21/
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