Quotient ideal amenability of triangular Banach algebras

Abstract

‎Recently‎, ‎the concepts of ideal amenability and quotient ideal amenability of Banach algebras have been proposed‎. ‎The ideal amenability an important classes of Banach algebras known as triangular Banach algebras has been investigated in some some studies and research‎. ‎Investigating the quotient ideal amenability of the triangular Banach algebras is a study that has been attempted in this article‎. ‎We will examine the consequences of the quotient ideal amenability of triangular Banach algebra $\mathcal{T}=\Mat{A}{M}{B}$‎, ‎on the quotient ideal amenability of corner algebras $A$ and $B$‎.