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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Products of uniformly noncreasy spaces


Author: Andrzej Wisnicki
Journal: Proc. Amer. Math. Soc. 130 (2002), 3295-3299
MSC (2000): Primary 47H09, 47H10, 46B20
Published electronically: June 11, 2002
MathSciNet review: 1913009
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Abstract: We show that finite products of uniformly noncreasy spaces with a strictly monotone norm have the fixed point property for nonexpansive mappings. It gives new and natural examples of superreflexive Banach spaces without normal structure but with the fixed point property.


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Additional Information

Andrzej Wisnicki
Affiliation: Department of Mathematics, Maria Curie - Skłodowska University, 20-031 Lublin, Poland
Email: awisnic@golem.umcs.lublin.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06724-2
PII: S 0002-9939(02)06724-2
Keywords: Nonexpansive mappings, fixed points
Received by editor(s): June 12, 2001
Published electronically: June 11, 2002
Additional Notes: This research was supported in part by KBN grant 2 PO3A 029 15.
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2002 American Mathematical Society