Geometric & Functional Analysis GAFA

, Volume 6, Issue 6, pp 1074–1082 | Cite as

Banach spaces of typep have arbitrarily distortable subspaces

  • Nicole Tomczak-Jaegermann


It is shown that if a Banach space has bounded distortions then it contains an unconditional basic sequence. It follows that Banach spaces of typep > 1 contain arbitrarily distortable subspaces. Furthermore, hereditarily indecomposable Banach spaces are themselves arbitrarily distortable.


Banach Space Basic Sequence Unconditional Basic Sequence Indecomposable Banach Space Distortable Subspace 
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Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

  • Nicole Tomczak-Jaegermann
    • 1
  1. 1.Department of Mathematical SciencesUniversity of AlbertaEdmontonCanada

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