The uniqueness of the solution to inverse interpolation problems
| dc.creator | Veselova, Lidia V. | |
| dc.creator | Tikhonov, Oleg E. | |
| dc.date | 1999-02-18 | |
| dc.date.accessioned | 2026-07-07T05:27:57Z | |
| dc.date.available | 2026-07-07T05:27:57Z | |
| dc.description | We prove that an arbitrary Banach couple is uniquely determined by the collection of intermediate spaces that are interpolation spaces for the operators of rank one. From this we deduce a confirmation to the conjecture by Yu. A. Brudnyi and N.Ya. Kruglyak that a Banach couple is uniquely determined by the collection of all its interpolation spaces. Some relevant problems are also analized. | |
| dc.description | Revised and translated form of "Research Institute of Mathematics and Mechanics, Preprint no. 95-2, Kazan Mathematics Foundation, Kazan, 1995. (Russian)" | |
| dc.identifier | https://arxiv.org/abs/math/9902108 | |
| dc.identifier | http://arxiv.org/abs/math/9902108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78122 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B70(primary); 46M35(secondary) | |
| dc.title | The uniqueness of the solution to inverse interpolation problems | |
| dc.type | text |