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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Products of uniformly noncreasy spaces
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by Andrzej Wiśnicki PDF
Proc. Amer. Math. Soc. 130 (2002), 3295-3299 Request permission

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 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