Pn. Dowling et N. Randrianantoanina, Asymptotically isometric copies of l(infinity) in Banach spaces and a theorem of Bessaga and Pelczynski, P AM MATH S, 128(11), 2000, pp. 3391-3397
We introduce the notion of a Banach space containing an asymptotically isom
etric copy of l(infinity). A well known result of Bessaga and Pelczynski st
ates a Banach space X contains a complemented isomorphic copy of l(1) if an
d only if X* contains an isomorphic copy of c(0) if and only if X* contains
an isomorphic copy of l(infinity). We prove an asymptotically isometric an
alogue of this result.