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Banach spaces not containing$l$_{1}

Jorge Mujica Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas

TBD mathscidoc:1701.333009

Arkiv for Matematik, 41, (2), 363-374, 2002.6
We show that if$E$is a complex Banach space which contains no subspace isomorphic to$l$_{1}, then each infinite dimensional subspace of$E′$contains a normalized sequence which converges to zero for the weak star topology.
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@inproceedings{jorge2002banach,
  title={Banach spaces not containing$l$_{1}},
  author={Jorge Mujica},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203608066575818},
  booktitle={Arkiv for Matematik},
  volume={41},
  number={2},
  pages={363-374},
  year={2002},
}
Jorge Mujica. Banach spaces not containing$l$_{1}. 2002. Vol. 41. In Arkiv for Matematik. pp.363-374. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203608066575818.
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