Module amenability for Banach modules

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DOI:

https://doi.org/10.4067/S0719-06462011000200007

Abstract

We study the module amenability of Banach modules. This is a natural generalization of Johnson‘s amenability of Banach algebras. As an example we show that for a discrete abelian group G, â„“p(G) is amenable as an â„“1 (G)-module if and only if G is amenable, where â„“1 (G) is a Banach algebra with pointwise multiplication.

Keywords

Banach modules , module amenability , weak module amenability , semigroup algebra , inverse semigroup
  • D. Ebrahimi Bagha Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
  • M. Amini Department of Mathematics, Tarbiat Modares University, P.O.Box 14115-175, Tehran, Iran.
  • Pages: 127–137
  • Date Published: 2011-06-01
  • Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

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Published

2011-06-01

How to Cite

[1]
D. Ebrahimi Bagha and M. Amini, “Module amenability for Banach modules”, CUBO, vol. 13, no. 2, pp. 127–137, Jun. 2011.

Issue

Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

Section

Articles