Convergence of conditional expectations for unbounded closed convex random sets
Volume 124 / 1997
                    
                    
                        Studia Mathematica 124 (1997), 133-148                    
                                        
                        DOI: 10.4064/sm-124-2-133-148                    
                                    
                                                Abstract
We discuss here several types of convergence of conditional expectations for unbounded closed convex random sets of the form $E^{ℬ_n}X_n$ where $(ℬ_n)$ is a decreasing sequence of sub-σ-algebras and $(X_n)$ is a sequence of closed convex random sets in a separable Banach space.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            