Author/Authors :
Momeni، M. نويسنده MSc., School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran , , Yazdanpanah، T. نويسنده Department of Mathematics, Persian Gulf University, Bushehr 75169, Iran , , Mardanbeigi، M. R. نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran ,
Abstract :
Let A be a Banach algebra and let I be a closed two-sided ideal in A. A is I-weakly amenable if H1(A,I?) = {0}. Further, A is ideally amenable if A is I-weakly amenable for every closed two-sided ideal I in A. In this paper we introduce ?-ideal amenability for a Banach algebra A, where ? is an idempotent bounded endomorphism of A.