Document Type : Research Paper
Department of mathematics, Ayatollah Borujerdi University, Borujerd, Iran
Ideal Connes-amenability of dual Banach algebras was investigated in  by A. Minapoor, A. Bodaghi and D. Ebrahimi Bagha. They studied weak∗continuous derivations from dual Banach algebras into their weak∗-closed two- sided ideals. This work considers weak∗-continuous derivations of dual triangular Banach algebras into their weak∗-closed two- sided ideals . We investigate when weak∗continuous derivations from these algebras into their weak∗-closed ideals are inner?