Skip to main content
Log in

On Dvoretzky’s theorem on almost spherical sections of convex bodies

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

Abstract

A complete and rather simple proof of the famous Dvoretzky’s theorem is presented.

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.

Similar content being viewed by others

References

  1. A. Dvoretzky,Some results on convex bodies and Banach spaces, Proc. Symp. on Linear Spaces, Jerusalem, 1961.

  2. T. Figiel,Some remarks on Dvoretzky’s theorem on almost spherical sections of convex bodies, Coll. Math.24 (1972), 241–252.

    MATH  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  4. J. Lindenstrauss and A. Pełczyński,Contributions to the theory of the classical Banach spaces, J. Functional Anal.8 (1971), 225–249.

    Article  MATH  Google Scholar 

  5. J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces, Lecture Notes in Math. No. 338, Springer-Verlag, 1973.

  6. V. D. Milman,New proof of the theorem of A. Dvoretzky on intersections of convex bodies, Functional. Anal. i Priložen.5 (1971), (Russian); English transl., Functional Anal. Appl., 288–295.

  7. V. D. Milman,The geometric theory of Banach spaces, Part II, Uspehi Mat. Nauk.26 (1971), 73–149 (Russian); English transl., Russian Math. Surveys26 (1971), 79–163.

    MathSciNet  Google Scholar 

  8. L. Tzafriri,On Banach spaces with unconditional bases, Israel J. Math.17 (1974), 84–92.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szankowski, A. On Dvoretzky’s theorem on almost spherical sections of convex bodies. Israel J. Math. 17, 325–338 (1974). https://doi.org/10.1007/BF02756881

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02756881

Keywords

Navigation