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/