Generalization of the topological algebra $(C_b (X), \beta )$
Volume 191 / 2009
Studia Mathematica 191 (2009), 247-262
MSC: Primary 46H10, 46J10; Secondary 46J20.
DOI: 10.4064/sm191-3-6
Abstract
We study subalgebras of $C_b (X)$ 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.