We investigate some properties of lattice group-valued positive, monotone and k-subadditive set functions, and in particular we give some comparisons between regularity and continuity from above. Moreover we prove dierent kinds of limit theorems with respect to lter convergence. Furthermore some open problems are posed.
@article{345, title = {Limit theorems for k-subadditive lattice group-valued capacities in the filter convergence setting}, journal = {Tatra Mountains Mathematical Publications}, volume = {65}, year = {2016}, doi = {10.2478/tatra.v65i0.345}, language = {EN}, url = {http://dml.mathdoc.fr/item/345} }
Boccuto, Antonio; Dimitriou, X. Limit theorems for k-subadditive lattice group-valued capacities in the filter convergence setting. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v65i0.345. http://gdmltest.u-ga.fr/item/345/