Convergence theorems for monotone measures
Fuzzy Sets and Systems(2015)
摘要
In classical measure theory there are a number of convergence theorems, such as the Egorov, the Riesz and the Lusin theorem, among others. We consider monotone measures (i.e., monotone set functions vanishing in the empty set and defined on a measurable space) and discuss, how and to which extent classical convergence theorems can be carried over to this more general case.
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关键词
Monotone measure,Monotone set function,Convergence theorems,Egorov theorem,Riesz theorem,Lusin theorem
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