On Banach Spaces of Large Density Character and Unconditional Sequences

Details On Banach Spaces of Large Density Character and Unconditional Sequences On Banach Spaces of Large Density Character and Unconditional Sequences

2002-06-11

arxiv.org/abs/math/0206106v1

Mathematics

Functional Analysis

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Scientific paper

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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