A characterization of maximal regular ideals in lmc algebras
Volume 103 / 1992
Studia Mathematica 103 (1992), 41-49
DOI: 10.4064/sm-103-1-41-49
Abstract
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.
