This is an announcement for the paper "Noncommutative Valdivia compacta" by Marek Cuth.

Abstract: 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.

Archive classification: math.FA

Mathematics Subject Classification: 46B26, 54D30

Submitted from: cuthm5am@karlin.mff.cuni.cz

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1301.5799

or

http://arXiv.org/abs/1301.5799