Simultaneous projectional skeletons
Functional Analysis
2013-11-05 v1
Abstract
We prove the existence of a simultaneous projectional skeleton for certain subspaces of 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.
Keywords
Cite
@article{arxiv.1305.1438,
title = {Simultaneous projectional skeletons},
author = {Marek Cuth},
journal= {arXiv preprint arXiv:1305.1438},
year = {2013}
}