Full paper in PDF:
$%P. Fernández-Martínez, Interpolation of the measure of non-compactness between quasi-Banach spaces, Rev. Mat. Complut. 19 (2006), no. 2, 477–498.%$

We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.

Key words: measure of non-compactness, interpolation theory, quasi-Banach spaces.
2000 Mathematics Subject Classication: 46B70.