The fixed point property in a Banach space isomorphic to c 0

Costas Poulios

Commentationes Mathematicae Universitatis Carolinae (2014)

  • Volume: 55, Issue: 2, page 195-202
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Poulios, Costas. "The fixed point property in a Banach space isomorphic to $c_0$." Commentationes Mathematicae Universitatis Carolinae 55.2 (2014): 195-202. <http://eudml.org/doc/261856>.

@article{Poulios2014,
abstract = {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.},
author = {Poulios, Costas},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-expansive mappings; fixed point property; Banach spaces isomorphic to $c_0$; fixed point property; nonexpansive mappings; weakly compact sets; Banach-Mazur distance; Banach spaces isomorphic to },
language = {eng},
number = {2},
pages = {195-202},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The fixed point property in a Banach space isomorphic to $c_0$},
url = {http://eudml.org/doc/261856},
volume = {55},
year = {2014},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 55
IS - 2
SP - 195
EP - 202
AB - 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.
LA - eng
KW - non-expansive mappings; fixed point property; Banach spaces isomorphic to $c_0$; fixed point property; nonexpansive mappings; weakly compact sets; Banach-Mazur distance; Banach spaces isomorphic to
UR - http://eudml.org/doc/261856
ER -

References

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  5. Hagler J., A counterexample to several questions about Banach spaces, Studia Math. 60 (1977), 289–308. Zbl0387.46015MR0442651
  6. Karlovitz L.A., 10.2140/pjm.1976.66.153, Pacific J. Math. 66 (1976), 153–159. MR0435951DOI10.2140/pjm.1976.66.153
  7. Kirk W.A., 10.2307/2313345, Amer. Math. Monthly 72 (1965), 1004–1006. Zbl0141.32402MR0189009DOI10.2307/2313345
  8. Maurey B., Points fixes des contractions sur un convexe forme de L 1 , Seminaire d' Analyse Fonctionelle 80–81, Ecole Polytechnique, Palaiseau, 1981. MR0659309

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