A sandwich-type theorem for invariant measures. (English) Zbl 0735.46001
A general Hahn-Banach-type theorem is proved. Several corollaries about the existence of finitely additive measures invariant with respect to a fixed transformation are deduced.
Reviewer: M.Jerschow (Essen)
MSC:
46A22 | Theorems of Hahn-Banach type; extension and lifting of functionals and operators |
28A12 | Contents, measures, outer measures, capacities |
28D05 | Measure-preserving transformations |