Multi-bounded sets and amenability for a class of Banach algebras
Volume 149 / 2017
Colloquium Mathematicum 149 (2017), 33-43
MSC: Primary 43A07, 43A20; Secondary 46H05, 22D25.
DOI: 10.4064/cm6787-6-2016
Published online: 7 April 2017
Abstract
Let $\mathcal {A}$ be a Lau algebra. We obtain some equivalent conditions for left amenability of $\mathcal {A}$ in terms of multi-bounded sets. We then apply these results to certain Lau algebras on a locally compact group $G$ to give characterizations for amenability of $G$.
