Minimal pairs of bounded closed convex sets
Volume 126 / 1997
                    
                    
                        Studia Mathematica 126 (1997), 95-99                    
                                        
                        DOI: 10.4064/sm-126-1-95-99                    
                                    
                                                Abstract
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets in a reflexive locally convex topological vector space is proved. An example of a non-reflexive Banach space with an equivalence class containing no minimal element is presented.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            