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Simultaneous projectional skeletons

Publication at Faculty of Mathematics and Physics |
2014

Abstract

We prove the existence of a simultaneous projectional skeleton for certain subspaces of 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.