On the structure of Banach algebras associated with automorphisms
نویسنده
چکیده
In the present paper we study the structure of a Banach algebra B(A,Tg) generated by a certain Banach algebra A of operators acting in a Banach space D and a group {Tg}g∈G of isometries of D such that TgAT −1 g = A. We investigate the interrelations between the existence of the expectation of B(A,Tg) onto A, topological freedom of the automorphisms of A induced by Tg and the dual action of the group G on B(A,Tg). The results obtained are applied to the description of the structure of Banach algebras generated by ’weighted composition operators’ acting in various spaces. AMS Subject Classification: 47D30, 16W20, 46H15, 46H20
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تاریخ انتشار 2002