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Cobos, Fernando and Edmunds, David E. and Potter, Anthony J.B. (1990) Real Interpolation and Compact Linear-Operators. Journal of Functional Analysis , 88 (2). pp. 351-356. ISSN 0022-1236
Official URL: http://www.sciencedirect.com/science/article/pii/0022123690901107
Abstract
We prove that if T: A0 → B0 is compact and T: A1 → B1 is compact (or T: A1 → B1 is bounded and, then given any θ and q with 0 < θ < 1 and 0 < q⩽ ∞, it follows that T: (A0, A1)0,q → (B0, B1)0,q, is also compact. Here (A0, A1)0,q and (B0, B1)0,q are the usual real interpolation spaces.
| Item Type: | Article |
|---|---|
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 15570 |
| Deposited On: | 11 Jun 2012 08:43 |
| Last Modified: | 25 Oct 2013 14:50 |
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