Simultaneous projectional skeletons

preprint2013arXivOpen access

Abstract

We prove the existence of a simultaneous projectional skeleton for certain subspaces of C(K)\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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