Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space [Lambda(X)] of [Lambda]-Bochner integrable functions contains a complemented copy of c0.
@article{urn:eudml:doc:41892, title = {Complemented copies of c0 in vector-valued K\"othe-Dieudonn\'e function spaces.}, journal = {Collectanea Mathematica}, volume = {43}, year = {1992}, pages = {89-93}, zbl = {0782.46035}, mrnumber = {MR1214227}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41892} }
Díaz, Santiago; Fernandez, Antonio; Florencio, Miguel; Paúl, Pedro J. Complemented copies of c0 in vector-valued Köthe-Dieudonné function spaces.. Collectanea Mathematica, Tome 43 (1992) pp. 89-93. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41892/