A Note on Polar Topologies
Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 607-609
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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
@article{10_4153_CMB_1968_076_9,
author = {Robertson, J. M. and Wiser, H. C.},
title = {A {Note} on {Polar} {Topologies}},
journal = {Canadian mathematical bulletin},
pages = {607--609},
year = {1968},
volume = {11},
number = {4},
doi = {10.4153/CMB-1968-076-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-076-9/}
}
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