Banach spaces without local unconditional structure

@article{Komorowski1993BanachSW,
  title={Banach spaces without local unconditional structure},
  author={Ryszard Komorowski and N. Tomczak-Jaegermann},
  journal={Israel Journal of Mathematics},
  year={1993},
  volume={89},
  pages={205-226}
}
  • Ryszard Komorowski, N. Tomczak-Jaegermann
  • Published 1993
  • Mathematics
  • Israel Journal of Mathematics
  • For a large class of Banach spaces, a general construction of subspaces without local unconditional structure is presented. As an application it is shown that every Banach space of finite cotype contains eitherl2 or a subspace without unconditional basis, which admits a Schauder basis. Some other interesting applications and corollaries follow. 

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