Geodesic
The Fixed Point Property in c0
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 413-422

Voir la notice de l'article provenant de la source Cambridge

DOI

A closed convex subset of ${{c}_{0}}$ has the fixed point property (fpp) if every nonexpansive self mapping of it has a fixed point. All nonempty weak compact convex subsets of ${{c}_{0}}$ are known to have the fpp. We show that closed convex subsets with a nonempty interior and nonempty convex subsets which are compact in a topology slightly coarser than the weak topology may fail to have the fpp.
DOI : 10.4153/CMB-1998-055-2
Mots-clés : 47H09, 47H10 
Llorens-Fuster, Enrique; Sims, Brailey. The Fixed Point Property in c0. Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 413-422. doi: 10.4153/CMB-1998-055-2
@article{10_4153_CMB_1998_055_2,
     author = {Llorens-Fuster, Enrique and Sims, Brailey},
     title = {The {Fixed} {Point} {Property} in c0},
     journal = {Canadian mathematical bulletin},
     pages = {413--422},
     year = {1998},
     volume = {41},
     number = {4},
     doi = {10.4153/CMB-1998-055-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-055-2/}
}
TY  - JOUR
AU  - Llorens-Fuster, Enrique
AU  - Sims, Brailey
TI  - The Fixed Point Property in c0
JO  - Canadian mathematical bulletin
PY  - 1998
SP  - 413
EP  - 422
VL  - 41
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-055-2/
DO  - 10.4153/CMB-1998-055-2
ID  - 10_4153_CMB_1998_055_2
ER  - 
%0 Journal Article
%A Llorens-Fuster, Enrique
%A Sims, Brailey
%T The Fixed Point Property in c0
%J Canadian mathematical bulletin
%D 1998
%P 413-422
%V 41
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-055-2/
%R 10.4153/CMB-1998-055-2
%F 10_4153_CMB_1998_055_2

Cité par Sources :