Factorization and weak amenability of A(X)
| dc.creator | Grønbæk, Niels | |
| dc.date | 2003-11-28 | |
| dc.date.accessioned | 2026-07-07T05:03:22Z | |
| dc.date.available | 2026-07-07T05:03:22Z | |
| dc.description | We investigate weak amenability of the Banach algebra A(X) of approximable operators on a Banach space X and its relation to factorization properties of operators in A(X). We show that if A(X) is weakly amenable, then either A(X) is self-induced (a nice factorization property), or X is very special, combining some of the exotic properties of the spaces of Gowers and Maurey and of Pisier. In the class of self-induced Banach algebras we show that weak amenability is preserved under an equivalence of Morita type. Using this we extend some results of A. Blanco about weak amenability of A(X). | |
| dc.description | 19 pages, submitted | |
| dc.identifier | https://arxiv.org/abs/math/0311525 | |
| dc.identifier | http://arxiv.org/abs/math/0311525 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69391 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L10 (Primary); 46M20, 16D90 (Secondary) | |
| dc.title | Factorization and weak amenability of A(X) | |
| dc.type | text |