Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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MODULE AMENABILITY OF BANACH ALGEBRAS AND SEMIGROUP ALGEBRAS

  • Khoshhal, M. (Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University) ;
  • Bagha, D. Ebrahimi (Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University) ;
  • Rahpeyma, O. Pourbahri (Department of Mathematics, Faculty of Science, Chalous Branch, Islamic Azad University)
  • Received : 2018.10.23
  • Accepted : 2019.01.24
  • Published : 2019.06.25
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Abstract

We define the concepts of the first and the second module dual of a Banach space X. And also bring a new concept of module amenability for a Banach algebra ${\mathcal{A}}$. For inverse semigroup S, we will give a new action for ${\ell}^1(S)$ as a Banach ${\ell}^1(E_S)$-module and show that if S is amenable then ${\ell}^1(S)$ is ${\ell}^1(E_S)$-module amenable.

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References

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