The fixed-point property in Banach spaces containing a copy of c0Report as inadecuate




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Abstract and Applied Analysis - Volume 2003 2003, Issue 3, Pages 183-192

Departamento de Análisis Matemático, Universidad de Sevilla, Sevilla 1080, Spain

Received 6 July 2001

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove that every Banach space containing an isomorphic copy ofc0 fails to have the fixed-point property for asymptoticallynonexpansive mappings with respect to some locally convex topologywhich is coarser than the weak topology. If the copy of c0 is asymptotically isometric, this result can be improved, becausewe can prove the failure of the fixed-point property fornonexpansive mappings.





Author: Maria A. Japón Pineda

Source: https://www.hindawi.com/



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