Derivations on dual triangular Banach algebras

Document Type: Research Paper

Author

Department of mathematics, Ayatollah Borujerdi University, Borujerd, Iran

Abstract

Ideal Connes-amenability of dual Banach algebras was investigated in [17] 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?

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