Some new classes of topological vector spaces with closed graph theorems
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 287-296
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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.
Classification :
46A16, 46A30, 47A05
Keywords: inverse seminorm; Mackey seminorm; nearly-semi-continuous; semi-barrelled; semi-$B$-complete; semi-infra-(s); semi-Mackey
Keywords: inverse seminorm; Mackey seminorm; nearly-semi-continuous; semi-barrelled; semi-$B$-complete; semi-infra-(s); semi-Mackey
@article{CMUC_1991__32_2_a10,
author = {Rodrigues, Brian},
title = {Some new classes of topological vector spaces with closed graph theorems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {287--296},
publisher = {mathdoc},
volume = {32},
number = {2},
year = {1991},
mrnumber = {1137790},
zbl = {0778.46006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a10/}
}
TY - JOUR AU - Rodrigues, Brian TI - Some new classes of topological vector spaces with closed graph theorems JO - Commentationes Mathematicae Universitatis Carolinae PY - 1991 SP - 287 EP - 296 VL - 32 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a10/ LA - en ID - CMUC_1991__32_2_a10 ER -
Rodrigues, Brian. Some new classes of topological vector spaces with closed graph theorems. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 287-296. http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a10/