A note on Costara's paper
Volume 83 / 2004
                    
                    
                        Annales Polonici Mathematici 83 (2004), 189-191                    
                                        
                        MSC: Primary 32H35.                    
                                        
                        DOI: 10.4064/ap83-2-9                    
                                    
                                                Abstract
We show that the symmetrized bidisc ${\mathbb G}_2= \{(\lambda_1+\lambda_2,\lambda_1\lambda_2):|\lambda_1|,|\lambda_2|<1\}\subset{\mathbb C}^2$ cannot be exhausted by domains biholomorphic to convex domains.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            