Geodesic
Convex sets in Banach spaces and a problem of Rolewicz
A. S. Granero ;  ; 
Studia Mathematica, Tome 129 (1998) no. 1, pp. 19-29

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

DOI

Let $B_x$ be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdorff metric. In the first part of this work we study the density character of $B_x$ and investigate its connections with the geometry of the space, in particular with a property shared by the spaces of Shelah and Kunen. In the second part we are concerned with the problem of Rolewicz, namely the existence of support sets, for the case of spaces C(K). 
A. S. Granero;  ;  . Convex sets in Banach spaces and a problem of Rolewicz. Studia Mathematica, Tome 129 (1998) no. 1, pp. 19-29. doi: 10.4064/sm-129-1-19-29
@article{10_4064_sm_129_1_19_29,
     author = {A. S. Granero and   and  },
     title = {Convex sets in {Banach} spaces and a problem of {Rolewicz}},
     journal = {Studia Mathematica},
     pages = {19--29},
     year = {1998},
     volume = {129},
     number = {1},
     doi = {10.4064/sm-129-1-19-29},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-129-1-19-29/}
}
TY  - JOUR
AU  - A. S. Granero
AU  -  
AU  -  
TI  - Convex sets in Banach spaces and a problem of Rolewicz
JO  - Studia Mathematica
PY  - 1998
SP  - 19
EP  - 29
VL  - 129
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-129-1-19-29/
DO  - 10.4064/sm-129-1-19-29
LA  - pl
ID  - 10_4064_sm_129_1_19_29
ER  - 
%0 Journal Article
%A A. S. Granero
%A  
%A  
%T Convex sets in Banach spaces and a problem of Rolewicz
%J Studia Mathematica
%D 1998
%P 19-29
%V 129
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-129-1-19-29/
%R 10.4064/sm-129-1-19-29
%G pl
%F 10_4064_sm_129_1_19_29

Cité par Sources :