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Carlo Beenakker
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A group or group action is amenable if it has an invariant mean. Apparently, the term "amenable" is a play of words on "mean" (in British English amenable is pronounced "a-mean-able", hinting at "able to support a mean"), see this MSE posting. Measurable (from the original name in German) would have been a more appropriate name, to help intuition.

Carlo Beenakker
  • 188.1k
  • 18
  • 448
  • 651