Derivations on the tensor product of Banach algebras

Authors

  • Ahmad Minapoor Central Tehran Branch, Islamic Azad University
  • Abasalt Bodaghi
  • Davood Ebrahimi Bagha Central Tehran Branch, Islamic Azad University

DOI:

https://doi.org/10.30495/jme.v11i0.602

Keywords:

Amenability, Ideal amenability, Weak amenability.

Abstract

In this paper, we study the ideal amenability of tensor product of Banach algebras. Among other things, we show that the ideal amenability $\mathcal A\widehat{\otimes}\mathcal B$ implies the ideal amenability of Banach algebras $\mathcal A$ and $\mathcal B$ for which character spaces of $\mathcal A$ and $\mathcal B$ are non-empty. Finally, we provide some examples in which $\mathcal A\widehat{\otimes}\mathcal B$ is ideally amenable.

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Published

2017-08-02

Issue

Vol. 11

Section

Vol. 11, No. 4, (2017)

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