caa a22 4500 606244654 CHVBK 20210128101331.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s12044-015-0223-x doi (NATIONALLICENCE)springer-10.1007/s12044-015-0223-x (2 n − 1)-Ideal amenability of triangular banach algebras [Elektronische Daten] [S ETEMAD, M ETTEFAGH] Let A $\mathcal {A}$ and ℬ $\mathcal {B}$ be two unital Banach algebras and let ℳ $\mathcal {M}$ be an unital Banach A , ℬ $\mathcal {A}, \mathcal {B}$ -module. Also, let T = A ℳ ℬ $\mathcal {T}=\left [\begin {array}{cc} \mathcal {A} & \mathcal {M} \\ & \mathcal {B} \end {array}\right ]$ 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 T $\mathcal {T}$ for all n≥1. We introduce the structure of ideals of these Banach algebras and then, we show that (2n−1)-ideal amenability of T $\mathcal {T}$ depends on (2n−1)-ideal amenability of Banach algebras A $\mathcal {A}$ and ℬ $\mathcal {B}$ . Indian Academy of Sciences, 2015 Amenability nationallicence ideal amenability nationallicence triangular Banach algebras nationallicence ETEMAD S. Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran aut ETTEFAGH M. Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran aut Proceedings - Mathematical Sciences Springer India 125/2(2015-05-01), 199-207 0253-4142 125:2<199 2015 125 12044 https://doi.org/10.1007/s12044-015-0223-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s12044-015-0223-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- ETEMAD S. Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran aut NATIONALLICENCE 700 1- ETTEFAGH M. Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran aut NATIONALLICENCE 773 0- Proceedings - Mathematical Sciences Springer India 125/2(2015-05-01), 199-207 0253-4142 125:2<199 2015 125 12044