Cobos Díaz, FernandoCwikel, M.Matos, P.2023-06-202023-06-2020010013-091510.1017/S0013091598001163https://hdl.handle.net/20.500.14352/57226If T : A0 ! B boundedly and T : A1 ! B compactly, then a result of Lions{Peetre shows that T : A ! B compactly for a certain class of spaces A which are intermediate with respect to A0 and A1. We investigate to what extent such results can hold for arbitrary intermediate spaces A. The `dual' case of an operator S such that S : X ! Y0 boundedly and S : X ! Y1 compactly, is also considered, as well as similar questions for other closed operator ideals.engjournal articlehttps//doi.org/10.1017/S0013091598001163http://journals.cambridge.org/download.php?file=%2FPEM%2FPEM2_44_01%2FS0013091598001163a.pdf&code=9b3d4restricted access517.982.2Interpolation of Compact OperatorsRank-One Interpolation SpacesGeneral Intermediate SpacesOperator IdealsMathematicsAnálisis funcional y teoría de operadores