On Banach Spaces of Large Density Character and Unconditional Sequences
Functional Analysis
2007-05-23 v1
Abstract
It is shown that any Banach space X of sufficiently large density contains an (infinite) unconditional sequence and a separable quotient. If a density of X is a weakly compact cardinal, then X contains an unconditional sequence of cardinality that is equal to the density of X
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Cite
@article{arxiv.math/0206106,
title = {On Banach Spaces of Large Density Character and Unconditional Sequences},
author = {Eugene Tokarev},
journal= {arXiv preprint arXiv:math/0206106},
year = {2007}
}
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