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The uniqueness of the solution to inverse interpolation problems | Lidia V. Veselova
; Oleg E. Tikhonov
; | Date: |
18 Feb 1999 | Subject: | Functional Analysis MSC-class: 46B70(primary); 46M35(secondary) | math.FA | Abstract: | 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. | Source: | arXiv, math.FA/9902108 | Services: | Forum | Review | PDF | Favorites |
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