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

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

Publishing date

2000-03-24

URL

arxiv.org/abs/math/0003151v1

Science

Mathematics

Field

Functional Analysis

Additional info

to appear in Proc. Am. Math. Soc

Type

Scientific paper

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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