A note on asymptotically isometric copies of 𝑙¹ and 𝑐₀

Pfitzner, Hermann

doi:10.1090/S0002-9939-00-05786-5

A note on asymptotically isometric copies of $l^1$ and $c_0$
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Proc. Amer. Math. Soc. 129 (2001), 1367-1373 Request permission

Abstract:

Nonreflexive 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 $c_0$.

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