Characterizations of weakly compact sets and new fixed point free maps in c₀

P. N. Dowling, C. J. Lennard, and B. Turett. "Characterizations of weakly compact sets and new fixed point free maps in c₀." Studia Mathematica 154.3 (2003): 277-293. <http://eudml.org/doc/284566>.

@article{P2003,
abstract = {We give a basic sequence characterization of relative weak compactness in c₀ and we construct new examples of closed, bounded, convex subsets of c₀ failing the fixed point property for nonexpansive self-maps. Combining these results, we derive the following characterization of weak compactness for closed, bounded, convex subsets C of c₀: such a C is weakly compact if and only if all of its closed, convex, nonempty subsets have the fixed point property for nonexpansive mappings.},
author = {P. N. Dowling, C. J. Lennard, B. Turett},
journal = {Studia Mathematica},
keywords = {Banach space ; weakly compact sets; fixed point free maps},
language = {eng},
number = {3},
pages = {277-293},
title = {Characterizations of weakly compact sets and new fixed point free maps in c₀},
url = {http://eudml.org/doc/284566},
volume = {154},
year = {2003},
}

TY - JOUR
AU - P. N. Dowling
AU - C. J. Lennard
AU - B. Turett
TI - Characterizations of weakly compact sets and new fixed point free maps in c₀
JO - Studia Mathematica
PY - 2003
VL - 154
IS - 3
SP - 277
EP - 293
AB - We give a basic sequence characterization of relative weak compactness in c₀ and we construct new examples of closed, bounded, convex subsets of c₀ failing the fixed point property for nonexpansive self-maps. Combining these results, we derive the following characterization of weak compactness for closed, bounded, convex subsets C of c₀: such a C is weakly compact if and only if all of its closed, convex, nonempty subsets have the fixed point property for nonexpansive mappings.
LA - eng
KW - Banach space ; weakly compact sets; fixed point free maps
UR - http://eudml.org/doc/284566
ER -