A characterization of maximal regular ideals in lmc algebras

Maria Fragoulopoulou

Studia Mathematica (1992)

  • Volume: 103, Issue: 1, page 41-49
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Fragoulopoulou, Maria. "A characterization of maximal regular ideals in lmc algebras." Studia Mathematica 103.1 (1992): 41-49. <http://eudml.org/doc/215934>.

@article{Fragoulopoulou1992,
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.},
author = {Fragoulopoulou, Maria},
journal = {Studia Mathematica},
keywords = {symmetric lmc*-algebra; LFQ-algebra; maximal ideal space; Lindelöf space; nonunital version of the Gleason-Kahane-Żelazko theorem; nonnormed topological algebras; commutative symmetric -algebra; Lindelöf- Gel’fand space; maximal regular ideal},
language = {eng},
number = {1},
pages = {41-49},
title = {A characterization of maximal regular ideals in lmc algebras},
url = {http://eudml.org/doc/215934},
volume = {103},
year = {1992},
}

TY - JOUR
AU - Fragoulopoulou, Maria
TI - A characterization of maximal regular ideals in lmc algebras
JO - Studia Mathematica
PY - 1992
VL - 103
IS - 1
SP - 41
EP - 49
AB - 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.
LA - eng
KW - symmetric lmc*-algebra; LFQ-algebra; maximal ideal space; Lindelöf space; nonunital version of the Gleason-Kahane-Żelazko theorem; nonnormed topological algebras; commutative symmetric -algebra; Lindelöf- Gel’fand space; maximal regular ideal
UR - http://eudml.org/doc/215934
ER -

References

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