| Authors: | Dodos, Pandelis Lopez-Abad, Jordi Todorčević, Stevo |
Title: | Unconditional basic sequences in spaces of large density | Journal: | Advances in Mathematics | Volume: | 226 | Issue: | 4 | First page: | 3297 | Last page: | 3308 | Issue Date: | 1-Mar-2011 | Rank: | M21a | ISSN: | 0001-8708 | DOI: | 10.1016/j.aim.2010.10.012 | 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 of the statement that every Banach space of density ωω contains an unconditional basic sequence. |
Keywords: | Forcing | Non-separable Banach spaces | Polarized Ramsey | Primary | Secondary | Separable quotient problem | Strongly compact cardinal | Unconditional basic sequence | Publisher: | Elsevier |
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