Functions with a unique mean value and amenability

Takahashi, Yuji

doi:10.1090/S0002-9939-1994-1189549-1

Functions with a unique mean value and amenability
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by Yuji Takahashi PDF

Proc. Amer. Math. Soc. 121 (1994), 775-777 Request permission

Abstract:

It is shown that there exist many amenable locally compact groups for which the sets of functions with unique left invariant mean values are not closed under addition. This resolves negatively a problem raised by T. Miao.

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