We establish interpolation properties under limiting real methods for a class of closed ideals including weakly compact operators, Banach-Saks operators, Rosenthal operators and Asplund operators. We show that they behave much better than compact operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-2-7, author = {Luz M. Fern\'andez-Cabrera and Ant\'on Mart\'\i nez}, title = {Closed operator ideals and limiting real interpolation}, journal = {Studia Mathematica}, volume = {223}, year = {2014}, pages = {187-196}, zbl = {1327.46023}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-2-7} }
Luz M. Fernández-Cabrera; Antón Martínez. Closed operator ideals and limiting real interpolation. Studia Mathematica, Tome 223 (2014) pp. 187-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-2-7/