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oai:docta.ucm.es:20.500.14352/573182024-07-17T13:41:01Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Cobos Díaz, Fernando author Kühn, Thomas author Schonbek, T. author 1992 Interpolating compactness properties of operators is a long standing and important problem. In this paper, the authors consider the problem in a very general setting of Aronszajn-Gagliardo functors. In simplest terms they show that if T : A0 ! B0 is compact and T : A1 ! B1 is bounded, then T is compact on some interpolation spaces constructed in the Aronszajn-Gagliardo methods. These methods do not include the complex interpolation method, but the authors show that if the two couples are formed by Banach lattices then the theorem holds in the complex method as well. Additional results are in the context of interpolation of compactness properties in the context of N-tuples of Banach spaces. The paper includes a number of related, interesting results. 0022-1236 10.1016/0022-1236(92)90049-O https://hdl.handle.net/20.500.14352/57318 https//doi.org/10.1016/0022-1236(92)90049-O http://www.sciencedirect.com/science/article/pii/002212369290049O One-Sided Compactness Results for Aronszajn-Gagliardo Functors