S-Barrelled Topological Vector Spaces*
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 221-227
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N. Bourbaki [1] was the first to introduce the class of locally convex topological vector spaces called “espaces tonnelés” or “barrelled spaces.” These spaces have some of the important properties of Banach spaces and Fréchet spaces. Indeed, a generalized Banach-Steinhaus theorem is valid for them, although barrelled spaces are not necessarily metrizable. Extensive accounts of the properties of barrelled locally convex topological vector spaces are found in [5] and [8].
Snipes, Ray F. S-Barrelled Topological Vector Spaces*. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 221-227. doi: 10.4153/CMB-1978-037-5
@article{10_4153_CMB_1978_037_5,
author = {Snipes, Ray F.},
title = {S-Barrelled {Topological} {Vector} {Spaces*}},
journal = {Canadian mathematical bulletin},
pages = {221--227},
year = {1978},
volume = {21},
number = {2},
doi = {10.4153/CMB-1978-037-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-037-5/}
}
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