K-divisibility constants for some special couples
| dc.creator | Ameur, Yacin | |
| dc.creator | Cwikel, Michael | |
| dc.date | 2005-12-12 | |
| dc.date | 2005-12-19 | |
| dc.date.accessioned | 2026-07-07T06:55:04Z | |
| dc.date.available | 2026-07-07T06:55:04Z | |
| dc.description | We prove new estimates of the $K$-divisibility constants for some special Banach couples. In particular, we prove that the $K$-divisibility constant for a couple of the form $(U\oplus V, U)$ where $U$ and $V$ are non-trivial Hilbert spaces equals $2/\sqrt{3}$. We also prove estimates for the $K$-divisibility constant of the two-dimensional version of the couple $(L_2,L_\infty)$, proving in particular that this couple is not exactly $K$-divisible. There are also several auxiliary results, including some estimates for relative Calderón constants for finite dimensional couples. | |
| dc.identifier | https://arxiv.org/abs/math/0512234 | |
| dc.identifier | http://arxiv.org/abs/math/0512234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106165 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B70 | |
| dc.title | K-divisibility constants for some special couples | |
| dc.type | text |