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.
1996
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/114222
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