Some notions of (;t )-amenability for unitization of Banach algebras

Let A be a Banach algebra and and be continuous endomorphisms on A. In this paper,we introduce and study the concept ( ; )?ideal amenability for A. In the following, we will investigate the concepts ( ; )?weak amenability and ( ; )?ideal amenability for the unitization of Banach algebras.

Keywords:

Banach algebra , ( , )?ideal amenability , ( , )?weak amenability , unitization.