2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58894Nonreflexive Banach spaces that are complemented in their bidual by an L-projection - like preduals of von Neumann algebras or the Hardy space $H^1$ - contain, roughly speaking, many copies of $l^1$ which are very close to isometric copies. Such $l^1$-copies are known to fail the fixed point property. Similar dual results hold for $c_0$.to appear in Proc. Am. Math. SocFunctional Analysis46B03; 46B04, 46B20, 47H10A note on asymptotically isometric copies of $l^1$ and $c_0$text