A characterization of maximal regular ideals in lmc algebras
Studia Mathematica, Tome 103 (1992) no. 1, pp. 41-49

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-103-1-41-49
Keywords: symmetric lmc*-algebra, LFQ-algebra, maximal ideal space, Lindelöf space

Maria Fragoulopoulou 1

1
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Maria Fragoulopoulou. A characterization of maximal regular ideals in lmc algebras. Studia Mathematica, Tome 103 (1992) no. 1, pp. 41-49. doi: 10.4064/sm-103-1-41-49

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