Products of uniformly noncreasy spaces
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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.References
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Additional Information
- Andrzej Wiśnicki
- Affiliation: Department of Mathematics, Maria Curie - Skłodowska University, 20-031 Lublin, Poland
- MR Author ID: 360658
- Email: awisnic@golem.umcs.lublin.pl
- 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
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3295-3299
- MSC (2000): Primary 47H09, 47H10, 46B20
- DOI: https://doi.org/10.1090/S0002-9939-02-06724-2
- MathSciNet review: 1913009