In this note, we investigate non-locally-convex topological vector spaces for which the closed graph theorem holds. In doing so, we introduce new classes of topological vector spaces. Our study includes a direct extension of Pták duality to the non-locally-convex situation.
@article{116970,
author = {Brian Rodrigues},
title = {Some new classes of topological vector spaces with closed graph theorems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {32},
year = {1991},
pages = {287-296},
zbl = {0778.46006},
mrnumber = {1137790},
language = {en},
url = {http://dml.mathdoc.fr/item/116970}
}
Rodrigues, Brian. Some new classes of topological vector spaces with closed graph theorems. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 287-296. http://gdmltest.u-ga.fr/item/116970/
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