On different types of algebras contained in CV(X)

With every Nachbin family on a Hausdorff completely regular space X, we ass ociate natural locally convex algebras of different types. Fundamental prop erties of these algebras are given. In particular every character of such a n algebra E is shown to be art evaluation at some point of beta(X), the Sto ne-Cech compactification of X. Results are also furnished extending to gene ral weighted algebras the relationship between the compact open. the strict and the uniform topologies on C-b(X).