Compactness and convergence of set-valued measures
Volume 114 / 2009
Colloquium Mathematicum 114 (2009), 177-189
MSC: Primary 28B20; Secondary 54C60.
DOI: 10.4064/cm114-2-2
Abstract
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.
