We classify, up to isomorphism, the spaces of compact operators (E,F), where E and F are the Banach spaces of all continuous functions defined on the compact spaces , the topological products of Cantor cubes and intervals of ordinal numbers [0,α].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-3, author = {El\'oi Medina Galego}, title = {Spaces of compact operators on $C(2^{} $\times$ [0,$\alpha$])$ spaces}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {175-181}, zbl = {1242.46024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-3} }
Elói Medina Galego. Spaces of compact operators on $C(2^{} × [0,α])$ spaces. Colloquium Mathematicae, Tome 122 (2011) pp. 175-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-3/