Proceedings of the American Mathematical Society

Author(s): Hermann Pfitzner
Journal: Proc. Amer. Math. Soc. 129 (2001), 1367-1373.
MSC (2000): Primary 46B03, 46B04, 46B20, 47H10
Posted: October 20, 2000
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Nonreflexive Banach spaces that are complemented in their bidual by an L-projection--like preduals of von Neumann algebras or the Hardy space

--contain, roughly speaking, many copies of

which are very close to isometric copies. Such

-copies are known to fail the fixed point property. Similar dual results hold for

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46B03, 46B04, 46B20, 47H10

Hermann Pfitzner
Affiliation: Université d'Orléans, BP 6759, F-45067 Orléans Cedex 2, France
Email: pfitzner@labomath.univ-orleans.fr

DOI: 10.1090/S0002-9939-00-05786-5
PII: S 0002-9939(00)05786-5
Keywords: Asymptotically isometric copies of $l_1$, James' distortion, L-summands, L-embedded, M-ideals, fixed point property
Received by editor(s): July 20, 1999
Posted: October 20, 2000
Communicated by: Dale Alspach
Copyright of article: Copyright 2000, American Mathematical Society

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