This is an announcement for the paper "Simultaneous projectional skeletons" by Marek Cuth.

Abstract: We prove the existence of a simultaneous projectional skeleton for certain subspaces of $\mathcal{C}(K)$ spaces. This generalizes a result on simultaneous projectional resolutions of identity proved by M. Valdivia. We collect some consequences of this result. In particular we give a new characterization of Asplund spaces using the notion of projectional 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/1305.1438

or

http://arXiv.org/abs/1305.1438