Linear mappings preserving similarity on $B(H)$
Volume 161 / 2004
                    
                    
                        Studia Mathematica 161 (2004), 177-186                    
                                        
                        MSC: Primary 47B49.                    
                                        
                        DOI: 10.4064/sm161-2-5                    
                                    
                                                Abstract
Let $H$ be an infinite-dimensional complex Hilbert space. We give a characterization of surjective linear mappings on $B( H) $ that preserve similarity in both directions.