Totally irreducible representations of algebras
Volume 235 / 2016
                    
                    
                        Studia Mathematica 235 (2016), 101-115                    
                                        
                        MSC: Primary 46A15; Secondary 47A58, 46H10, 46H35.                    
                                        
                        DOI: 10.4064/sm8470-7-2016                    
                                            
                            Published online: 21 October 2016                        
                                    
                                                Abstract
The principal subject of the paper is the density in the strong operator topology of subalgebras of the algebra $L(X)$ of continuous operators in a locally convex space $X$. Besides a survey of known results we present refinements and generalizations of theorems related to the, still unsolved, problem of Fell and Doran.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            