On The Interpolation of Injective or Projective Tensor Products of Banach Spaces
| dc.creator | Kouba, Omran | |
| dc.date | 2004-01-24 | |
| dc.date.accessioned | 2026-07-07T05:04:50Z | |
| dc.date.available | 2026-07-07T05:04:50Z | |
| dc.description | We prove a general result on the factorization of matrix-valued analytic functions. We deduce that if $(E_0,E_1)$ and $(F_0,F_1)$ are interpolation pairs with dense intersections, then under some conditions on the spaces $E_0$, $E_1$, $F_0$ and $F_1$, we have $$ [E_0\hat\otimes F_0,E_1\hat\otimes F_1]_t= [E_0, E_1]_t\hat\otimes[F_0, F_1]_t, 0 < t< 1.$$ We find also conditions on the spaces $E_0$, $E_1$, $F_0$ and $F_1$, so that the following holds $$ [E_0\wcheck\otimes F_0,E_1\wcheck\otimes F_1]_t= [E_0,E_1]_t\wcheck\otimes [F_0,F_1]_t, 0 <t< 1.$$ Some applications of these results are also considered. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0401337 | |
| dc.identifier | http://arxiv.org/abs/math/0401337 | |
| dc.identifier | J. Funct. Anal. 96 (1991), 38-61 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69959 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B70;47A56;47A68;46M05;46B07 | |
| dc.title | On The Interpolation of Injective or Projective Tensor Products of Banach Spaces | |
| dc.type | text |