The minimal displacement problem in subspaces of the space of continuous functions of finite codimension
Volume 225 / 2014
                    
                    
                        Studia Mathematica 225 (2014), 193-201                    
                                        
                        MSC: Primary 47H09, 47H10.                    
                                        
                        DOI: 10.4064/sm225-3-1                    
                                    
                                                Abstract
We show that every subspace of finite codimension of the space $C[ 0, 1] $ is extremal with respect to the minimal displacement problem.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            