The flip is often discontinuous
| dc.creator | Runde, Volker | |
| dc.date | 2002-02-28 | |
| dc.date | 2002-03-02 | |
| dc.date.accessioned | 2026-07-07T04:46:44Z | |
| dc.date.available | 2026-07-07T04:46:44Z | |
| dc.description | Let $A$ be a Banach algebra. The flip on $A \otimes A^\op$ is defined through $A \otimes A^\op \ni a \tensor b \mapsto b \tensor a$. If $A$ is ultraprime, $\El(A)$, the algebra of all elementary operators on $A$, can be algebraically identified with $A \otimes A^\op$, so that the flip is well defined on $\El(\A)$. We show that the flip on $\El(A)$ is discontinuous if $A = K(E)$ for a reflexive Banach space $E$ with the approximation property. | |
| dc.description | 6 pages; a misleading typo removed | |
| dc.identifier | https://arxiv.org/abs/math/0202305 | |
| dc.identifier | http://arxiv.org/abs/math/0202305 | |
| dc.identifier | J. Operator Theory 48 (2002), 447-451 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63456 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 46H35, 47B47 (primary), 47B48 | |
| dc.title | The flip is often discontinuous | |
| dc.type | text |