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/