Marek Cuth
Published 2013-05-07Version 1
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.
Journal: J. Math. Anal. Appl. 411 (2014), 19-29
Separable reduction of Frechet subdifferentiability in Asplund spaces
Projections in duals to Asplund spaces made without Simons' lemma
On Subspaces of Indecomposable Banach Spaces
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