Geodesic
Weak compactness in locally convex spaces
Glasgow mathematical journal, Tome 9 (1968) no. 2, pp. 123-127

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

In [2], R. C. James proved that a weakly closed subset X of a real Banach space is weakly compact if and only if each continuous linear form attains its supremum on X. He also extended the result to the locally convex case, and, in [5], J. D. Pryce gave a simplified proof of the general result that is recorded below for reference in the sequel. 
Tweddle, I. Weak compactness in locally convex spaces. Glasgow mathematical journal, Tome 9 (1968) no. 2, pp. 123-127. doi: 10.1017/S0017089500000409
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