The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-1, author = {Fernando Cobos and Luz M. Fern\'andez-Cabrera and Ant\'on Mart\'\i nez}, title = {Compact operators between K- and J-spaces}, journal = {Studia Mathematica}, volume = {166}, year = {2005}, pages = {199-220}, zbl = {1067.46031}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-1} }
Fernando Cobos; Luz M. Fernández-Cabrera; Antón Martínez. Compact operators between K- and J-spaces. Studia Mathematica, Tome 166 (2005) pp. 199-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-1/