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Multi-bounded sets and amenability for a class of Banach algebras

Volume 149 / 2017

Fereshteh Hamidi Dastjerdi, Sima Soltani Renani 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 $G$.

Authors

  • Fereshteh Hamidi DastjerdiDepartment of Mathematical Sciences
    Isfahan University of Technology
    Isfahan 84156-83111, Iran
    e-mail
  • Sima Soltani RenaniDepartment of Mathematical Sciences
    Isfahan University of Technology
    Isfahan 84156-83111, Iran
    e-mail

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