Geodesic
Uniform Mazur's Intersection Property of Balls
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 455-460

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

DOI

We give a dual characterization of the following uniformization of the Mazur's intersection property of balls in a Banach space X: for every ∊ > 0 there is a K > 0 such that whenever a closed convex set C ⊂ X and a point p ∊ X are such that diam C ≤ 1/∊ and dist(p, C) ≤ ∊, then there is a closed ball B of radius ≤ K with B ⊃ C and dist(p,B) ≥ ∊/2.
DOI : 10.4153/CMB-1987-067-3
Mots-clés : 46B20, ball intersection property, smoothness 
Whitfield, J. H. M.; Zizler, V. Uniform Mazur's Intersection Property of Balls. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 455-460. doi: 10.4153/CMB-1987-067-3
@article{10_4153_CMB_1987_067_3,
     author = {Whitfield, J. H. M. and Zizler, V.},
     title = {Uniform {Mazur's} {Intersection} {Property} of {Balls}},
     journal = {Canadian mathematical bulletin},
     pages = {455--460},
     year = {1987},
     volume = {30},
     number = {4},
     doi = {10.4153/CMB-1987-067-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-067-3/}
}
TY  - JOUR
AU  - Whitfield, J. H. M.
AU  - Zizler, V.
TI  - Uniform Mazur's Intersection Property of Balls
JO  - Canadian mathematical bulletin
PY  - 1987
SP  - 455
EP  - 460
VL  - 30
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-067-3/
DO  - 10.4153/CMB-1987-067-3
ID  - 10_4153_CMB_1987_067_3
ER  - 
%0 Journal Article
%A Whitfield, J. H. M.
%A Zizler, V.
%T Uniform Mazur's Intersection Property of Balls
%J Canadian mathematical bulletin
%D 1987
%P 455-460
%V 30
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-067-3/
%R 10.4153/CMB-1987-067-3
%F 10_4153_CMB_1987_067_3

Cité par Sources :