On the structure of Banach algebras associated with automorphisms. 2. Operators with measurable coefficients

dc.creatorLebedev, A.
dc.date2002-09-04
dc.date.accessioned2026-07-07T04:50:36Z
dc.date.available2026-07-07T04:50:36Z
dc.descriptionIn the present paper we continue the study of the structure of a Banach algebra B(A, T_g) generated by a certain Banach algebra $A$ of operators acting in a Banach space $D$ and a group {T_g}_{g \in G} of isometries of D such that T_g A T^{-1}_g = A. We investigate the interrelations between the existence of the expectation of B(A, T_g) onto $A$, metrical freedom of the automorphisms of A induced by T_g and the dual action of the group G on B(A, T_g). The results obtained are applied to the description of the structure of Banach algebras generated by 'weighted composition operators' acting in Lebesgue spaces.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0209039
dc.identifierhttp://arxiv.org/abs/math/0209039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64848
dc.subjectOperator Algebras
dc.subject47L30, 16W20, 46H15, 46H20
dc.titleOn the structure of Banach algebras associated with automorphisms. 2. Operators with measurable coefficients
dc.typetext

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