Complex interpolation of compact operators mapping into the couple (FL^{\infty},FL_{1}^{\infty})

Michael Cwikel, Svante Janson

If (A_0,A_1) and (B_0,B_1) are Banach couples and a linear operator T from A_0 + A_1 to B_0 + B_1 maps A_0 compactly into B_0 and maps A_1 boundedly into B_1, does T necessarily al…