Some definitions of integrals are introduced, for functions taking values in suitable Riesz spaces and with respect to finitely additive measures, in such a way that every bounded function is integrable. Furthermore, some Vitali-type convergence theorems are proved. Finally, some sandwich-type and Hahn-Banach type theorems are given, for finitely additive Riesz space-valued maps. Finally, some characterizations of amenability and some results of existence of equivariant maps are given.

Riesz spaces, integration and sandwich theorems

BOCCUTO, Antonio
1993

Abstract

Some definitions of integrals are introduced, for functions taking values in suitable Riesz spaces and with respect to finitely additive measures, in such a way that every bounded function is integrable. Furthermore, some Vitali-type convergence theorems are proved. Finally, some sandwich-type and Hahn-Banach type theorems are given, for finitely additive Riesz space-valued maps. Finally, some characterizations of amenability and some results of existence of equivariant maps are given.
1993
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/114227
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