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 |
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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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