Geodesic
A Note on Polar Topologies
Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 607-609

Voir la notice de l'article provenant de la source Cambridge University Press

Let (E, E') be a dual pair and G be a collection of σ(E, E') bounded sets in E with the following properties: i) G contains all singletons. ii) If A, B are in G there is a C in G with A ∪B ⊆ C. iii) If A is in G then λ A ε G for any scaler λ. Then sets of the form the polar of Ai, form base of neighbourhoods in E' for the polar topology TG of G convergence. 
Robertson, J. M.; Wiser, H. C. A Note on Polar Topologies. Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 607-609. doi: 10.4153/CMB-1968-076-9
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[1] 1. Klee, V., On the Borelian and projective types of linear subspaces. Math. Scand. 6 (1958) 189-199. Google Scholar

[2] 2. Robertson, A.P. and Robertson, W.J., Topological vector spaces. (Cambridge University Press, 1964). Google Scholar

[3] 3. Schaefer, H. H., Topological vector spaces. (Macmillan Co., New York, 1966). Google Scholar

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