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
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     author = {Stojan Radenovi\'c},
     title = {Some {Remarks} on the {Weak} {Topology} of {Locally} {Convex} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {155 },
     publisher = {mathdoc},
     volume = {_N_S_44},
     number = {58},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a21/}
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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/