Geodesic
Noncommutative Valdivia compacta
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 1, pp. 53-72 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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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/