Higher order derivatives of analytic families of Banach spaces
Tom 272 / 2023
                    
                    
                        Studia Mathematica 272 (2023), 245-297                    
                                        
                        MSC: Primary 46B70; Secondary 46M18, 46H99.                    
                                        
                        DOI: 10.4064/sm220919-3-2                    
                                            
                            Opublikowany online: 20 July 2023                        
                                    
                                                Streszczenie
We show that the Rochberg spaces generated by complex interpolation form themselves complex interpolation scales and obtain their new interpolated spaces and associated derivations. We present our results in the context of analytic families of Banach spaces and study the problem of determining the Rochberg spaces induced by these new families.