The splitting spectrum differs from the Taylor spectrum
Volume 123 / 1997
                    
                    
                        Studia Mathematica 123 (1997), 291-294                    
                                        
                        DOI: 10.4064/sm-123-3-291-294                    
                                    
                                                Abstract
We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            