Geodesic
An Example Concerning Exposed Points
Canadian mathematical bulletin, Tome 8 (1965) no. 3, pp. 323-327

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

DOI

In his paper [1] V. L. Klee gave an example of a smooth bounded convex body C, in En, with the property that extC s closed and extC - expC is dense in extC. As in [1] extC and expC denote the sets of extreme and exposed points of C respectively. It is the purpose of this note to exhibit a similar example in a general separable Banach space using a direct construction which involves Minkowski summation of convex sets. 
Edelstein, M. An Example Concerning Exposed Points. Canadian mathematical bulletin, Tome 8 (1965) no. 3, pp. 323-327. doi: 10.4153/CMB-1965-023-9
@article{10_4153_CMB_1965_023_9,
     author = {Edelstein, M.},
     title = {An {Example} {Concerning} {Exposed} {Points}},
     journal = {Canadian mathematical bulletin},
     pages = {323--327},
     year = {1965},
     volume = {8},
     number = {3},
     doi = {10.4153/CMB-1965-023-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-023-9/}
}
TY  - JOUR
AU  - Edelstein, M.
TI  - An Example Concerning Exposed Points
JO  - Canadian mathematical bulletin
PY  - 1965
SP  - 323
EP  - 327
VL  - 8
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-023-9/
DO  - 10.4153/CMB-1965-023-9
ID  - 10_4153_CMB_1965_023_9
ER  - 
%0 Journal Article
%A Edelstein, M.
%T An Example Concerning Exposed Points
%J Canadian mathematical bulletin
%D 1965
%P 323-327
%V 8
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-023-9/
%R 10.4153/CMB-1965-023-9
%F 10_4153_CMB_1965_023_9

Cité par Sources :