On the structure of Banach algebras associated with automorphisms
| dc.creator | Lebedev, A. | |
| dc.date | 2002-09-04 | |
| dc.date.accessioned | 2026-07-07T04:50:36Z | |
| dc.date.available | 2026-07-07T04:50:36Z | |
| dc.description | In the present paper we study 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, topological 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 various spaces. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209040 | |
| dc.identifier | http://arxiv.org/abs/math/0209040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64849 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47D30, 16W20, 46H15, 46H20 | |
| dc.title | On the structure of Banach algebras associated with automorphisms | |
| dc.type | text |