Dieudonné-Type Theorems for Lattice Group-Valued K-Triangular Set Functions
Antonio Boccuto, Xenofon Dimitriou · Czech digital mathematics library · 2018
summary:Some versions of Dieudonné-type convergence and uniform boundedness theorems are proved, for $k$-triangular and regular lattice group-valued set functions. We use sliding hump techniques and direct methods. We extend earlier results, proved in the real case. Furthermore, we pose some open problems.