Proceedings of the American Mathematical Society

Author(s): Andrzej Wisnicki
Journal: Proc. Amer. Math. Soc. 130 (2002), 3295-3299.
MSC (2000): Primary 47H09, 47H10, 46B20
Posted: June 11, 2002
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47H09, 47H10, 46B20

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

DOI: 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
Posted: June 11, 2002
Additional Notes: This research was supported in part by KBN grant 2 PO3A 029 15.
Communicated by: Jonathan M. Borwein
Copyright of article: Copyright 2002, American Mathematical Society

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