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Cobos, Fernando and Schonbek, Tomas (1998) On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dual. Houston Journal of Mathematics, 24 (2). pp. 325-344. ISSN 0362-1588
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Official URL: http://math.uh.edu/~hjm/pdf24(2)/07COBOS.pdf
Abstract
We show that if the duality between a Banach space A and
its anti-dual A* is given by the inner product of a Hilbert space H, then (A, A*)1/2,2 = H = (A,A*)[l,2~, provided A satisfies certain mild conditions. We do not assume A is reflexive. Applications are given to normed ideals of operators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Banach space; Hilbert space |
| Subjects: | Sciences > Mathematics > Numerical analysis |
| ID Code: | 15303 |
| Deposited On: | 22 May 2012 09:43 |
| Last Modified: | 21 Jun 2018 08:15 |
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