Spectrally isometric elementary operators
Volume 236 / 2017
                    
                    
                        Studia Mathematica 236 (2017), 33-49                    
                                        
                        MSC: Primary 47B47; Secondary 46H99, 47A10, 47A65, 47B48.                    
                                        
                        DOI: 10.4064/sm8538-6-2016                    
                                            
                            Published online: 7 September 2016                        
                                    
                                                Abstract
We present criteria for unital elementary operators (of small length) on unital semisimple Banach algebras to be spectral isometries. The surjective ones among them turn out to be algebra automorphisms.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            