Geodesic
Noncommutative Valdivia compacta
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 1, pp. 53-72.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We prove some generalizations of results concerning Valdivia compact spaces (equivalently spaces with a commutative retractional skeleton) to the spaces with a retractional skeleton (not necessarily commutative). Namely, we show that the dual unit ball of a Banach space is Corson provided the dual unit ball of every equivalent norm has a retractional skeleton. Another result to be mentioned is the following. Having a compact space $K$, we show that $K$ is Corson if and only if every continuous image of $K$ has a retractional skeleton. We also present some open problems in this area.
Classification : 46B26, 54D30
Keywords: retractional skeleton; projectional skeleton; Valdivia compacta; Plichko spaces 
@article{CMUC_2014__55_1_a5,
     author = {C\'uth, Marek},
     title = {Noncommutative {Valdivia} compacta},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {53--72},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2014},
     mrnumber = {3160826},
     zbl = {06383785},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a5/}
}
TY  - JOUR
AU  - Cúth, Marek
TI  - Noncommutative Valdivia compacta
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2014
SP  - 53
EP  - 72
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a5/
LA  - en
ID  - CMUC_2014__55_1_a5
ER  - 
%0 Journal Article
%A Cúth, Marek
%T Noncommutative Valdivia compacta
%J Commentationes Mathematicae Universitatis Carolinae
%D 2014
%P 53-72
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a5/
%G en
%F CMUC_2014__55_1_a5
Cúth, Marek. Noncommutative Valdivia compacta. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 1, pp. 53-72. http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a5/