Abstract harmonic analysis Amenability and invariant means Concept
Invariant mean
Summary
An invariant mean on a group is a way to average all bounded functions on the group. The average does not change when the function is translated. A discrete group has a left-invariant mean exactly when it is amenable. Invariant means are the functional form of finitely additive invariant probability measures.
Further reading
About this page
| Tag | ZYNY2VFECQ |
|---|---|
| URI | m2://ZYNY2VFECQ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 43A07, 28C10 |
| Changed | 2 November 2026 |
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