We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-2-4, author = {Rados\l aw Szwedek}, title = {Measure of non-compactness of operators interpolated by the real method}, journal = {Studia Mathematica}, volume = {173}, year = {2006}, pages = {157-174}, zbl = {1118.46034}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-2-4} }
Radosław Szwedek. Measure of non-compactness of operators interpolated by the real method. Studia Mathematica, Tome 173 (2006) pp. 157-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-2-4/