Si est un espace infratonnelé, on démontre que tout sous-espace , de codimension finie, est infratonnelé.
If is an infrabarrelled space, it is proved that any subspace , of finite codimension, is infrabarrelled.
@article{AIF_1971__21_2_1_0,
author = {Valdivia, Manuel},
title = {A hereditary property in locally convex spaces},
journal = {Annales de l'Institut Fourier},
volume = {21},
year = {1971},
pages = {1-2},
doi = {10.5802/aif.367},
mrnumber = {48 \#11967},
zbl = {0205.40903},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1971__21_2_1_0}
}
Valdivia, Manuel. A hereditary property in locally convex spaces. Annales de l'Institut Fourier, Tome 21 (1971) pp. 1-2. doi : 10.5802/aif.367. http://gdmltest.u-ga.fr/item/AIF_1971__21_2_1_0/
[1] , Sur les propriétés de permanence de certaines espaces vectoriels topologiques, Ann. Soc. Pol. Math., 25, (1952), p. 50-55. | MR 15,38b | Zbl 0049.08202