Mosco convergence and the Kadec property
Jonathan Michael Borwein, Simon Fitzpatrick · Proceedings of the American Mathematical Society · 1989
We study the relationship between Wijsman convergence and Mosco convergence for sequences of convex sets. Our central result is that Mosco convergence and Wijsman convergence coincide for sequences of convex sets if and only if the underlying space is reflexive with the dual norm having the Kadec property.