(2𝑛-1)-Ideal amenability of triangular banach algebras

Proceedings Mathematical Sciences

M Ettefagh¹  S Etemad² 

[1] Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran$$;Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran$$

关键词: Amenability;    ideal amenability;    triangular Banach algebras.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let $mathcal{A}$ and $mathcal{B}$ be two unital Banach algebras and let $mathcal{M}$ be an unital Banach $mathcal{A}$, $mathcal{B}$-module. Also, let $mathcal{T}=left[egin{smallmatrix} mathcal{A} & mathcal{M} & mathcal{B}end{smallmatrix}ight]$ be the corresponding triangular Banach algebra. Forrest and Marcoux (Trans. Amer. Math. Soc. 354 (2002) 1435–1452) have studied the 𝑛-weak amenability of triangular Banach algebras. In this paper, we investigate (2𝑛-1)-ideal amenability of $mathcal{T}$ for all 𝑛 ≥ 1. We introduce the structure of ideals of these Banach algebras and then, we show that (2𝑛-1)-ideal amenability of $mathcal{T}$ depends on (2𝑛-1)-ideal amenability of Banach algebras $mathcal{A}$ and $mathcal{B}$.

【 授权许可】

Unknown