Geodesic
When $(E,\sigma (E,E'))$ is a $DF$-space?
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 43-44 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $(E,t)$ be a Hausdorff locally convex space. Either $(E,\sigma (E,E'))$ or \newline $(E',\sigma (E',E))$ is a $DF$-space iff $E$ is of finite dimension (THEOREM). This is the most general solution of the problem studied by Iyahen [2] and Radenovič [3].
Let $(E,t)$ be a Hausdorff locally convex space. Either $(E,\sigma (E,E'))$ or \newline $(E',\sigma (E',E))$ is a $DF$-space iff $E$ is of finite dimension (THEOREM). This is the most general solution of the problem studied by Iyahen [2] and Radenovič [3].
Classification : 46A03, 46A04, 46A05, 46A20
Keywords: $DF$-spaces; countably quasibarrelled spaces 
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Krassowska, Dorota; Śliwa, Wiesƚaw. When $(E,\sigma (E,E'))$ is a $DF$-space?. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 43-44. http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a4/

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[3] Radenovič S.: Some remarks on the weak topology of locally convex spaces. Publ. de l'Institut Math. 44 (1988), 155-157. | MR

[4] Robertson A., Robertson W.: Topological vector spaces. Cambridge Univ. Press, 1973. | MR | Zbl

[5] Schaefer H.: Topological vector spaces. Springer-Verlag, New York-Heidelberg-Berlin, 1971. | MR | Zbl