The fixed-point property in Banach spaces containing a copy of $c_0$
Pineda, Maria A. Japón
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 183-192 / Harvested from Project Euclid
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We prove that every Banach space containing an isomorphic copy of $c_0$ fails to have the fixed-point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the weak topology. If the copy of $c_0$ is asymptotically isometric, this result can be improved, because we can prove the failure of the fixed-point property for nonexpansive mappings.
Publié le : 2003-02-09
Classification:  47H09,  47H10 
@article{1050426034,
     author = {Pineda, Maria A. Jap\'on},
     title = {The fixed-point property in Banach spaces containing a copy of $c\_0$},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 183-192},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050426034}
}

Pineda, Maria A. Japón. The fixed-point property in Banach spaces containing a copy of $c_0$. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  183-192. http://gdmltest.u-ga.fr/item/1050426034/