A note on asymptotically isometric copies of $l^1$ and $c_0$
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- by Hermann Pfitzner PDF
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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 $c_0$.References
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Additional Information
- Hermann Pfitzner
- Affiliation: Université d’Orléans, BP 6759, F-45067 Orléans Cedex 2, France
- MR Author ID: 333993
- Email: pfitzner@labomath.univ-orleans.fr
- Received by editor(s): July 20, 1999
- Published electronically: October 20, 2000
- Communicated by: Dale Alspach
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1367-1373
- MSC (2000): Primary 46B03, 46B04, 46B20, 47H10
- DOI: https://doi.org/10.1090/S0002-9939-00-05786-5
- MathSciNet review: 1814162