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A note on asymptotically isometric copies of $l^1$ and $c_0$

Hermann Pfitzner
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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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Hermann Pfitzner. 2000-03-24. A note on asymptotically isometric copies of $l^1$ and $c_0$. https://arxiv.org/abs/math/0003151

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