Let X be a real Banach space that does not contain a copy of l1. Then X* contains asymptotically isometric copies of l1 if and only if X has a quotient which is asymptotically isometric to c0.
@article{urn:eudml:doc:44340,
title = {Asymptotically isometric copies of c0 and l1 in quotients of Banach spaces.},
journal = {Collectanea Mathematica},
volume = {55},
year = {2004},
pages = {237-242},
zbl = {1068.46004},
mrnumber = {MR2099214},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44340}
}
Dongyang, Chen. Asymptotically isometric copies of c0 and l1 in quotients of Banach spaces.. Collectanea Mathematica, Tome 55 (2004) pp. 237-242. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44340/