Range of a contractive strongly positive projection in a $C^*$-algebra
Tom 140 / 2015
                    
                    
                        Colloquium Mathematicum 140 (2015), 87-89                    
                                        
                        MSC: Primary 46L05; Secondary 46L55.                    
                                        
                        DOI: 10.4064/cm140-1-7                    
                                    
                                                Streszczenie
We generalize a result of Choi and Effros on the range of a contractive completely positive projection in a $C^*$-algebra to the case when this projection is only strongly positive using, moreover, an elementary argument instead of a $2\times 2$-matrix technique.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            