EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 44(58), pp. 155--157 (1988)

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SOME REMARKS ON THE WEAK TOPOLOGY OF LOCALLY CONVEX SPACES

Stojan Radenovi\'c

Prirodno-matematicki fakultet, Kragujevac, Yugoslavia

Abstract: 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 (MSC2000): 46A05

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