Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
@article{bwmeta1.element.bwnjournal-article-smv101i3p311bwm,
author = {Jorma Arhippainen},
title = {On the ideal structure of algebras of LMC-algebra valued functions},
journal = {Studia Mathematica},
volume = {103},
year = {1992},
pages = {311-318},
zbl = {0812.46045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv101i3p311bwm}
}
Arhippainen, Jorma. On the ideal structure of algebras of LMC-algebra valued functions. Studia Mathematica, Tome 103 (1992) pp. 311-318. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv101i3p311bwm/
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