Skip to main content
Log in

An arbitrarily distortable Banach space

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this work we construct a “Tsirelson like Banach space” which is arbitrarily distortable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. G. Casazza and Th. J. Shura,Tsirelson’s space, Lecture Notes in Math. No. 1363, Springer-Verlag, Berlin, 1989.

    MATH  Google Scholar 

  2. R. Haydon, E. Odell, H. Rosenthal and Th. Schlumprecht,On distorted norms in Banach spaces and the existence of l p -types, preprint.

  3. R. C. James,Uniformly non-square Banach spaces, Ann. of Math.80 (1964), 542–550.

    Article  MathSciNet  Google Scholar 

  4. J. L. Krivine,Sous espaces de dimension finie des espaces de Banach réticulés, Ann. of Math.104 (1976), 1–29.

    Article  MathSciNet  Google Scholar 

  5. H. Lemberg,Nouvelle démonstration d’un théorème de J.L. Krivine sum la finie représentation de l p dans un espace de Banach, Isr. J. Math.39 (1981), 341–348.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces I — Sequence Spaces, Springer-Verlag, Berlin, 1979.

    Google Scholar 

  7. V. D. Milman,Geometric theory of Banach spaces, II: Geometry of the unit sphere, Russian Math. Survey26 (1971), 79–163 (translated from Russian).

    Article  MathSciNet  Google Scholar 

  8. E. Odell, personal communication.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schlumprecht, T. An arbitrarily distortable Banach space. Israel J. Math. 76, 81–95 (1991). https://doi.org/10.1007/BF02782845

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02782845

Keywords

Navigation