Compactness and convergence of set-valued measures
Tom 114 / 2009
Colloquium Mathematicum 114 (2009), 177-189 MSC: Primary 28B20; Secondary 54C60. DOI: 10.4064/cm114-2-2
We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.