Interpolation of compact operators by the methods of Calderón and Gustavsson-Peetre

Michael Cwikel, Nigel J. Kalton

Let $X=(X_0,X_1)$ and $Y=(Y_0,Y_1)$ be Banach couples and suppose $T:X\to Y$ is a linear operator such that $T:X_0\to Y_0$ is compact. We consider the question whether the opera…