We establish the existence of Banach spaces E and F isomorphic to complemented subspaces of each other but with isomorphic to , m, n, p, q ∈ ℕ, if and only if m = p and n = q.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-10, author = {El\'oi Medina Galego}, title = {On pairs of Banach spaces which are isomorphic to complemented subspaces of each other}, journal = {Colloquium Mathematicae}, volume = {100}, year = {2004}, pages = {279-287}, zbl = {1061.46007}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-10} }
Elói Medina Galego. On pairs of Banach spaces which are isomorphic to complemented subspaces of each other. Colloquium Mathematicae, Tome 100 (2004) pp. 279-287. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-10/