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.
@article{urn:eudml:doc:41911,
title = {Interpolation of the measure of non-compactness between quasi-Banach spaces.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {19},
year = {2006},
pages = {477-498},
zbl = {1118.46033},
mrnumber = {MR2241440},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41911}
}
Fernández Martínez, Pedro. Interpolation of the measure of non-compactness between quasi-Banach spaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006) pp. 477-498. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41911/