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arXiv · 1305.1438

Simultaneous projectional skeletons

Marek Cuth
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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.

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Marek Cuth. 2013-05-07. Simultaneous projectional skeletons. https://doi.org/10.1016/j.jmaa.2013.09.020

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