Simultaneous projectional skeletons

Published 7 May 2013 in math.FA | (1305.1438v1)

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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Authors (1)

Marek Cuth

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