Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras(Information and mathematics of non-additivity and non-extensivity : from the viewpoint of functional analysis)
Toshiaki Murofushi · Institutional Repositories DataBase (IRDB) · 2007
This paper shows that the greatest and least monotone extensions of a null-additive [resp.weakly null-additive], monotone set function from a ring of subsets to the algebra generated by the ring are null-additive [resp.weakly null-additive].In addition, the paper characterizes all the (weakly) null-additive, monotone extensions.