English

On projectional skeletons in Va\v{s}\'ak spaces

Functional Analysis 2017-11-27 v1

Abstract

We provide an alternative proof of the theorem saying that any Va\v{s}\'ak (or, weakly countably determined) Banach space admits a full 11-projectional skeleton. The proof is done with the use of the method of elementary submodels and is comparably simple as the proof given by W.~Kubi\'s (2009) in case of weakly compactly generated spaces.

Keywords

Cite

@article{arxiv.1602.02558,
  title  = {On projectional skeletons in Va\v{s}\'ak spaces},
  author = {Ondřej F. K. Kalenda},
  journal= {arXiv preprint arXiv:1602.02558},
  year   = {2017}
}

Comments

9 pages. arXiv admin note: text overlap with arXiv:1511.01086