Some versions of limit theorems and Dieudonne'-type theorems are given for finitely additive measures, defined in suitable algebras of subsets of an arbitrary nonempty set, and taking values in a sigma Dedekind complete Riesz space, with respect to the order convergence (and hence in a not necessarily topological setting). Some technical properties of Riesz space-valued finitely additive measure are investigated.
Dieudonné-type theorems for means with values in Riesz spaces
BOCCUTO, Antonio
1996
Abstract
Some versions of limit theorems and Dieudonne'-type theorems are given for finitely additive measures, defined in suitable algebras of subsets of an arbitrary nonempty set, and taking values in a sigma Dedekind complete Riesz space, with respect to the order convergence (and hence in a not necessarily topological setting). Some technical properties of Riesz space-valued finitely additive measure are investigated.File in questo prodotto:
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