On nested sequences of convex sets in Banach spaces
Studia Mathematica, Tome 222 (2014) no. 1, pp. 19-28

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study different aspects of the representation of weak$^*$-compact convex sets of the bidual $X^{**}$ of a separable Banach space $X$ via a nested sequence of closed convex bounded sets of $X$.
DOI : 10.4064/sm222-1-2
Keywords: study different aspects representation weak * compact convex sets bidual ** separable banach space via nested sequence closed convex bounded sets nbsp

Jesús M. F. Castillo 1 ; Manuel González 2 ; Pier Luigi Papini 3

1 Departamento de Matemáticas Universidad de Extremadura Avda de Elvas s/n 06011 Badajoz, Spain
2 Departamento de Matemáticas Universidad de Cantabria Avda de los Castros s/n 39071 Santander, Spain
3 Via Martucci 19 40136 Bologna, Italia
@article{10_4064_sm222_1_2,
     author = {Jes\'us M. F. Castillo and Manuel Gonz\'alez and Pier Luigi Papini},
     title = {On nested sequences of convex sets in {Banach} spaces},
     journal = {Studia Mathematica},
     pages = {19--28},
     publisher = {mathdoc},
     volume = {222},
     number = {1},
     year = {2014},
     doi = {10.4064/sm222-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm222-1-2/}
}
TY  - JOUR
AU  - Jesús M. F. Castillo
AU  - Manuel González
AU  - Pier Luigi Papini
TI  - On nested sequences of convex sets in Banach spaces
JO  - Studia Mathematica
PY  - 2014
SP  - 19
EP  - 28
VL  - 222
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm222-1-2/
DO  - 10.4064/sm222-1-2
LA  - en
ID  - 10_4064_sm222_1_2
ER  - 
%0 Journal Article
%A Jesús M. F. Castillo
%A Manuel González
%A Pier Luigi Papini
%T On nested sequences of convex sets in Banach spaces
%J Studia Mathematica
%D 2014
%P 19-28
%V 222
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm222-1-2/
%R 10.4064/sm222-1-2
%G en
%F 10_4064_sm222_1_2
Jesús M. F. Castillo; Manuel González; Pier Luigi Papini. On nested sequences of convex sets in Banach spaces. Studia Mathematica, Tome 222 (2014) no. 1, pp. 19-28. doi: 10.4064/sm222-1-2

Cité par Sources :