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A Characterization of Banach Spaces Containing l(1)

It is proved that a Banach space contains a subspace isomorphic to l(1) if (and only if) it has a bounded sequence with no weak-Cauchy subsequence. The proof yields that a sequence of subsets of a given set has a subsequence that is either convergent or Boolean independent.

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Detalhes bibliográficos
Autor principal: Rosenthal, Haskell P.
Formato: Artigo
Idioma:Inglês
Publicado em: 1974
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC388466/
https://ncbi.nlm.nih.gov/pubmed/16592162
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