We study subalgebras of equipped with topologies that generalize both the uniform and the strict topology. In particular, we study the Stone-Weierstrass property and describe the ideal structure of these algebras.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-6,
author = {Jorma Arhippainen and Jukka Kauppi},
title = {Generalization of the topological algebra $(C\_{b}(X),$\beta$)$
},
journal = {Studia Mathematica},
volume = {192},
year = {2009},
pages = {247-262},
zbl = {1176.46050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-6}
}
Jorma Arhippainen; Jukka Kauppi. Generalization of the topological algebra $(C_{b}(X),β)$
. Studia Mathematica, Tome 192 (2009) pp. 247-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-6/