The density condition in quotients of quasinormable Fréchet spaces
Volume 125 / 1997
                    
                    
                        Studia Mathematica 125 (1997), 131-141                    
                                        
                        DOI: 10.4064/sm-125-2-131-141                    
                                    
                                                Abstract
It is proved that a separable Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Dí az in the class of separable Fréchet spaces.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            