Quotient ideal amenability of triangular Banach algebras

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 T = [A MB ], on the quotient ideal amenability of corner algebras A and B.

Keywords:

Triangular Banach algebra , Quotient ideal amenability