The aim of this paper is to prove some extension theorems for finitely additive and invariant measures. We reach this goal, by means of suitable sandwich, extension and Hahn-Banach-type theorems, with the further condition of invariance with respect to a suitable homomorphism. Among the consequences we obtain the above mentioned extension theorems, together with some known results on the existence of invariant measures.
A sandwich-type theorem for invariant measures
BOCCUTO, Antonio;CANDELORO, Domenico
1990
Abstract
The aim of this paper is to prove some extension theorems for finitely additive and invariant measures. We reach this goal, by means of suitable sandwich, extension and Hahn-Banach-type theorems, with the further condition of invariance with respect to a suitable homomorphism. Among the consequences we obtain the above mentioned extension theorems, together with some known results on the existence of invariant measures.File in questo prodotto:
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