Banach spaces with projectional skeletons

@inproceedings{Kubi2009BanachSW,
  title={Banach spaces with projectional skeletons},
  author={Wiesław Kubiś},
  year={2009}
}
A projectional skeleton in a Banach space is a σ-directed family of projections onto separable subspaces, covering the entire space. The class of Banach spaces with projectional skeletons is strictly larger than the class of Plichko spaces (i.e. Banach spaces with a countably norming Markushevich basis). We show that every space with a projectional skeleton has a projectional resolution of the identity and has a norming space with similar properties to Σ-spaces. We characterize the existence of… CONTINUE READING

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