A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
@article{bwmeta1.element.bwnjournal-article-smv103i1p41bwm,
author = {Maria Fragoulopoulou},
title = {A characterization of maximal regular ideals in lmc algebras},
journal = {Studia Mathematica},
volume = {103},
year = {1992},
pages = {41-49},
zbl = {0812.46042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv103i1p41bwm}
}
Fragoulopoulou, Maria. A characterization of maximal regular ideals in lmc algebras. Studia Mathematica, Tome 103 (1992) pp. 41-49. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv103i1p41bwm/
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