Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces
A nested sequence of linear or convex closed sets of the form arising in estimation and other inverse problems is considered. It is shown that such a sequence may fail to converge in any of the recently studied set- convergences other than Mosco convergence. A positive result concerning the epislice convergence of related sequences of functions is provided.
scientific article; zbMATH DE number 558528