On Erb’s uncertainty principle
Volume 232 / 2016
                    
                    
                        Studia Mathematica 232 (2016), 7-17                    
                                        
                        MSC: Primary 47A12, 42C02; Secondary 47B38, 42A52.                    
                                        
                        DOI: 10.4064/sm8241-3-2016                    
                                            
                            Published online: 18 April 2016                        
                                    
                                                Abstract
We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            