Unconditional basic sequences in spaces of large density

Details Unconditional basic sequences in spaces of large density Unconditional basic sequences in spaces of large density

2008-05-13

arxiv.org/abs/0805.1860v3

Mathematics

Functional Analysis

Scientific paper

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 $\aleph_\omega$
contains an unconditional basic sequence.

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