The bounded approximation property for the predual of the space of bounded holomorphic mappings
Volume 177 / 2006
                    
                    
                        Studia Mathematica 177 (2006), 225-233                    
                                        
                        MSC: 46G20, 46B28, 46G25, 46E50.                    
                                        
                        DOI: 10.4064/sm177-3-3                    
                                    
                                                Abstract
When $U$ is the open unit ball of a separable Banach space $E$, we show that $G^{\infty }(U)$, the predual of the space of bounded holomorphic mappings on $U$, has the bounded approximation property if and only if $E$ has the bounded approximation property.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            