On pseudo-amenability of Beurling algebras

Authors

  • Kobra Oustad
  • Amin Mahmoodi

DOI:

https://doi.org/10.30495/jme.v14i0.1062

Keywords:

amenability, pseudo-amenability, Beurling algebra.

Abstract

Amenability and pseudo-amenability of $ \ell^{1}(S,\omega) $ ischaracterized, where $S$ is a left (right) zero semigroup or it is arectangular band semigroup. The equivalence conditions toamenability of $\ell^{1}(S,\omega)$ are provided, where  $ S $ is aband semigroup. The equivalence properties of amenability of$\ell^{1}(S, \omega)^{**}$ are described, where $S$ is an inversesemigroup. For a locally compact group $G$, pseudo-amenability of $\ell^{1}(G,\omega) $ is also discussed.

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Published

2019-09-22

Issue

Vol. 14

Section

Vol. 14, No. 4, (2020)

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