English

Unconditional basic sequences in spaces of large density

Functional Analysis 2008-12-18 v3 Logic

Abstract

We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density ω\aleph_\omega contains an unconditional basic sequence.

Keywords

Cite

@article{arxiv.0805.1860,
  title  = {Unconditional basic sequences in spaces of large density},
  author = {Pandelis Dodos and Jordi Lopez Abad and Stevo Todorcevic},
  journal= {arXiv preprint arXiv:0805.1860},
  year   = {2008}
}
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