On norm closed ideals in L(\ell_p\oplus\ell_q)
| dc.creator | Sari, B. | |
| dc.creator | Schlumprecht, Th. | |
| dc.creator | Tomczak-Jaegermann, N. | |
| dc.creator | Troitsky, V. G. | |
| dc.date | 2005-09-19 | |
| dc.date.accessioned | 2026-07-07T08:07:17Z | |
| dc.date.available | 2026-07-07T08:07:17Z | |
| dc.description | It is well known that the only proper non-trivial norm-closed ideal in the algebra L(X) for X=\ell_p (1 \le p < \infty) or X=c_0 is the ideal of compact operators. The next natural question is to describe all closed ideals of L(\ell_p\oplus\ell_q) for 1 \le p,q < \infty, p \neq q, or, equivalently, the closed ideals in L(\ell_p,\ell_q) for p < q. This paper shows that for 1 < p < 2 < q < \infty there are at least four distinct proper closed ideals in L(\ell_p,\ell_q), including one that has not been studied before. The proofs use various methods from Banach space theory. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509414 | |
| dc.identifier | http://arxiv.org/abs/math/0509414 | |
| dc.identifier | Studia Math. 179 (2007), 239-262 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130893 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L20; 47B10; 47B37 | |
| dc.title | On norm closed ideals in L(\ell_p\oplus\ell_q) | |
| dc.type | text |