Law equivalence of solutions of some linear stochastic equations in Hilbert spaces
Volume 101 / 1992
                    
                    
                        Studia Mathematica 101 (1992), 269-284                    
                                        
                        DOI: 10.4064/sm-101-3-269-284                    
                                    
                                                Abstract
Sufficient and necessary conditions for equivalence of the distributions of the solutions of some linear stochastic equations in Hilbert spaces are given. Some facts in the theory of perturbations of semigroup generators and Zabczyk's results on law equivalence are used.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            