Geodesic
Convex functions on Banach spaces not containing l1
Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 10-18

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

DOI

There is a sizeable class of results precisely relating boundedness, convergence and differentiability properties of continuous convex functions on Banach spaces to whether or not the space contains an isomorphic copy of l1. In this note, we provide constructions showing that the main such results do not extend to natural broader classes of functions.
DOI : 10.4153/CMB-1997-002-1
Mots-clés : 46A55, 46B20, 52A41 
Borwein, Jon; Vanderwerff, Jon. Convex functions on Banach spaces not containing l1. Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 10-18. doi: 10.4153/CMB-1997-002-1
@article{10_4153_CMB_1997_002_1,
     author = {Borwein, Jon and Vanderwerff, Jon},
     title = {Convex functions on {Banach} spaces not containing l1},
     journal = {Canadian mathematical bulletin},
     pages = {10--18},
     year = {1997},
     volume = {40},
     number = {1},
     doi = {10.4153/CMB-1997-002-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-002-1/}
}
TY  - JOUR
AU  - Borwein, Jon
AU  - Vanderwerff, Jon
TI  - Convex functions on Banach spaces not containing l1
JO  - Canadian mathematical bulletin
PY  - 1997
SP  - 10
EP  - 18
VL  - 40
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-002-1/
DO  - 10.4153/CMB-1997-002-1
ID  - 10_4153_CMB_1997_002_1
ER  - 
%0 Journal Article
%A Borwein, Jon
%A Vanderwerff, Jon
%T Convex functions on Banach spaces not containing l1
%J Canadian mathematical bulletin
%D 1997
%P 10-18
%V 40
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-002-1/
%R 10.4153/CMB-1997-002-1
%F 10_4153_CMB_1997_002_1

Cité par Sources :