English

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

Functional Analysis 2007-05-23 v1

Abstract

Nonreflexive Banach spaces that are complemented in their bidual by an L-projection - like preduals of von Neumann algebras or the Hardy space H1H^1 - contain, roughly speaking, many copies of l1l^1 which are very close to isometric copies. Such l1l^1-copies are known to fail the fixed point property. Similar dual results hold for c0c_0.

Keywords

Cite

@article{arxiv.math/0003151,
  title  = {A note on asymptotically isometric copies of $l^1$ and $c_0$},
  author = {Hermann Pfitzner},
  journal= {arXiv preprint arXiv:math/0003151},
  year   = {2007}
}

Comments

to appear in Proc. Am. Math. Soc