The fixed point property in a Banach space isomorphic to $c_0$
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 2, pp. 195-202
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We consider a Banach space, which comes naturally from $c_0$ and it appears in the literature, and we prove that this space has the fixed point property for non-expansive mappings defined on weakly compact, convex sets.
Classification :
46B25, 47H09, 47H10
Keywords: non-expansive mappings; fixed point property; Banach spaces isomorphic to $c_0$
Keywords: non-expansive mappings; fixed point property; Banach spaces isomorphic to $c_0$
@article{CMUC_2014__55_2_a5,
author = {Poulios, Costas},
title = {The fixed point property in a {Banach} space isomorphic to $c_0$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {195--202},
publisher = {mathdoc},
volume = {55},
number = {2},
year = {2014},
mrnumber = {3193925},
zbl = {06391537},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2014__55_2_a5/}
}
TY - JOUR AU - Poulios, Costas TI - The fixed point property in a Banach space isomorphic to $c_0$ JO - Commentationes Mathematicae Universitatis Carolinae PY - 2014 SP - 195 EP - 202 VL - 55 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2014__55_2_a5/ LA - en ID - CMUC_2014__55_2_a5 ER -
Poulios, Costas. The fixed point property in a Banach space isomorphic to $c_0$. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 2, pp. 195-202. http://geodesic.mathdoc.fr/item/CMUC_2014__55_2_a5/