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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
