We investigate the behaviour of the measure of non-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.
@article{bwmeta1.element.bwnjournal-article-smv135i1p25bwm, author = {Fernando Cobos and Pedro Fern\'andez-Mart\'\i nez and Ant\'on Mart\'\i nez}, title = {Interpolation of the measure of non-compactness by the real method}, journal = {Studia Mathematica}, volume = {133}, year = {1999}, pages = {25-38}, zbl = {0939.46017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv135i1p25bwm} }
Cobos, Fernando; Fernández-Martínez, Pedro; Martínez, Antón. Interpolation of the measure of non-compactness by the real method. Studia Mathematica, Tome 133 (1999) pp. 25-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i1p25bwm/
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