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Geometric & Functional Analysis GAFA

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

Banach spaces of typep have arbitrarily distortable subspaces

  • Nicole Tomczak-Jaegermann
Article

Abstract

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.

Keywords

Banach Space Basic Sequence Unconditional Basic Sequence Indecomposable Banach Space Distortable Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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