We show that a B-space E has the (CRP) if and only if any dominated operator T from C[0, 1] into E is compact. Hence we apply this result to prove that c0 embeds isomorphically into the B-space of all compact operators from C[0, 1] into an arbitrary B-space E without the (CRP).
@article{urn:eudml:doc:42222, title = {Dominated operators on C[0, 1] and the (CRP).}, journal = {Collectanea Mathematica}, volume = {41}, year = {1990}, pages = {21-25}, zbl = {0752.47006}, mrnumber = {MR1134442}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42222} }
Emmanuele, G. Dominated operators on C[0, 1] and the (CRP).. Collectanea Mathematica, Tome 41 (1990) pp. 21-25. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42222/