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Title
CONNES-AMENABILITY OF TRIANGULAR BANACH ALGEBRAS
Type of Research Article
Keywords
Connes-amenable Banach algebra, dual Banach algebra, triangular Banach algebra.
Abstract
Abstract.Let A and B be unital Banach algebras and M be a Banach (A, B)-module. Then T=[A,M,B] becomes a triangular Banach algebra when equipped with the Banach space norm ||T||=||a||A+||m||M+||b||B.When A and B are dual Banach algebras, we characterize Connes-amenability of T in terms of Connes-amenability of A and B and their action on M.
Researchers Mohammad Hossein Sattari (First Researcher)