RT Journal Article
T1 One-Sided Compactness Results for Aronszajn-Gagliardo Functors
A1 Cobos, Fernando
A1 Kühn, Thomas
A1 Schonbek, T.
AB 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.
PB Elsevier
SN 0022-1236
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/57318
UL https://hdl.handle.net/20.500.14352/57318
DS Docta Complutense
RD 8 may 2024