An integral for real-valued maps with respect to Riesz space-valued measures compatible with respect to the operation of supremum and continuous from above is introduced. The main properties are investigated and some convergence theorems are proved. This paper extends to the context of Riesz spaces some earlier results, proved by Agbeko in the case in which the measures involved take real values.
Convergence theorems for the optimal integral in Riesz spaces
BOCCUTO, Antonio;
2010
Abstract
An integral for real-valued maps with respect to Riesz space-valued measures compatible with respect to the operation of supremum and continuous from above is introduced. The main properties are investigated and some convergence theorems are proved. This paper extends to the context of Riesz spaces some earlier results, proved by Agbeko in the case in which the measures involved take real values.File in questo prodotto:
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