Published 2011-01-15
DOI:
https://doi.org/10.71712/Keywords
- amenability,
- approximate amenability,
- \(\ell^1\)-Munn algebra
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
A. Jabbari, & H. Hossein Zadeh. (2011). Approximate Amenability of Matrix Algebras. Scientia Series A: Mathematical Sciences, 21, 17-24. https://doi.org/10.71712/
Abstract
In this paper, we study approximate amenability of matrix algebras. We show that every derivation from \(M_n(\mathcal{A})\) into \(M_n(E^{(m)})\) is the sum of an inner derivation and a derivation induced by a derivation from \(\mathcal{A}\) into \(E^{(m)}\), where \(\mathcal{A}\) is a Banach algebra and \(E\) is a Banach \(\mathcal{A}\)-bimodule. By using this, we provide many results in approximate and permanent weak amenability of these algebras.
Downloads
Download data is not yet available.
