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29 March 2024
 
  » arxiv » math.FA/0206106

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On Banach Spaces of Large Density Character and Unconditional Sequences
Eugene Tokarev ;
Date 11 Jun 2002
Subject Functional Analysis MSC-class: 46B26 (Primary) 46B03, 46B04, 46B07, 46B20 03C65, 03C75 (Secondary) | math.FA
AbstractIt 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
Source arXiv, math.FA/0206106
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