An almost nowhere Fréchet smooth norm on superreflexive spaces
Volume 133 / 1999
                    
                    
                        Studia Mathematica 133 (1999), 93-99                    
                                        
                        DOI: 10.4064/sm-133-1-93-99                    
                                    
                                                Abstract
Every separable infinite-dimensional superreflexive Banach space admits an equivalent norm which is Fréchet differentiable only on an Aronszajn null set.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            