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ArticleOriginal scientific text

Title

A characterization of maximal regular ideals in lmc algebras

Authors 1

Affiliations

  1. Mathematical Institute, University of Athens, Panepistimiopolis, Athens 157 84, Greece

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.

Keywords

ENG
symmetric lmc*-algebra, LFQ-algebra, maximal ideal space, Lindelöf space

Bibliography

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Studia Mathematica
1992/103/1
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Pages:
41-49
Main language of publication
English
Received
1991-08-12
Accepted
1992-02-10
Published
1992
Exact and natural sciences