On the ideal structure of algebras of LMC-algebra valued functions
Volume 101 / 1992
Studia Mathematica 101 (1992), 311-318
DOI: 10.4064/sm-101-3-311-318
Abstract
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.