arXiv:0805.1860 Abstract | arXiv Analytics

arXiv:0805.1860 [math.FA]Abstract References Reviews Resources

Unconditional basic sequences in spaces of large density

Pandelis Dodos, Jordi Lopez Abad, Stevo Todorcevic

Published 2008-05-13, updated 2008-05-27Version 3

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.

Categories: math.FA, math.LO

Subjects: 46B03, 03E35

Keywords: unconditional basic sequence, large density, banach space, high density, relative consistency

Related articles: Most relevant | Search more

arXiv:math/0112273 [math.FA] (Published 2001-12-25)

The Banach space S is complementably minimal and subsequentially prime

George Androulakis, Thomas Schlumprecht

arXiv:math/0502054 [math.FA] (Published 2005-02-02, updated 2005-02-17)

Minimality, homogeneity and topological 0-1 laws for subspaces of a Banach space

Valentin Ferenczi

arXiv:math/0002219 [math.FA] (Published 2000-02-25)

Trees and Branches in Banach Spaces