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.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            