Some new classes of topological vector spaces with closed graph theorems

Brian Rodrigues

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 2, page 287-296
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Rodrigues, Brian. "Some new classes of topological vector spaces with closed graph theorems." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 287-296. <http://eudml.org/doc/247278>.

@article{Rodrigues1991,
abstract = {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.},
author = {Rodrigues, Brian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {inverse seminorm; Mackey seminorm; nearly-semi-continuous; semi-barrelled; semi-$B$-complete; semi-infra-(s); semi-Mackey; inverse seminorm; Mackey seminorm; nearly-semi-continuous; semi- barrelled; semi--complete; semi-infra-(s); semi-Mackey; non-locally- convex- topological vector spaces for which the closed graph theorem holds; Pták duality},
language = {eng},
number = {2},
pages = {287-296},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some new classes of topological vector spaces with closed graph theorems},
url = {http://eudml.org/doc/247278},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Rodrigues, Brian
TI - Some new classes of topological vector spaces with closed graph theorems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 287
EP - 296
AB - 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.
LA - eng
KW - inverse seminorm; Mackey seminorm; nearly-semi-continuous; semi-barrelled; semi-$B$-complete; semi-infra-(s); semi-Mackey; inverse seminorm; Mackey seminorm; nearly-semi-continuous; semi- barrelled; semi--complete; semi-infra-(s); semi-Mackey; non-locally- convex- topological vector spaces for which the closed graph theorem holds; Pták duality
UR - http://eudml.org/doc/247278
ER -

References

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