Skip to main content

On lattice packing of convex symmetric sets in ℜn

  • Conference paper
  • First Online:
Geometrical Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1267))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 44.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.W.S. Cassels: An introduction to diophantine approximation, Cambridge UP, 1965.

    Google Scholar 

  2. M. Gromov, Private communication.

    Google Scholar 

  3. C. G. Lekkerkerker, Geometry of numbers, North-Holland, Amsterdam, 1969.

    MATH  Google Scholar 

  4. J. Lindenstrauss, L. Tzafriri: Classical Banach spaces II, Springer 17, 1979.

    Google Scholar 

  5. C. Rogers. G. Shephard, The difference body of a convex body, Arch Math. 8 1957, 220–223.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. Rogalski, Sur le quotient volumique d'un espace de dimension finie, Publication Math. de l'Universite Pierre et Marie Curie, N. 46, 1980/81.

    Google Scholar 

  7. G. Fejes Toth, New results in the theory of packing and covering, in "convexity and its applications", Birkhauser Verlag 1983.

    Google Scholar 

  8. G. J. Butler, Simultaneous packing and covering in euclidean space, Proc. London. Math. Soc., 25, 1972, 721–735.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Joram Lindenstrauss Vitali D. Milman

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Bourgain, J. (1987). On lattice packing of convex symmetric sets in ℜn . In: Lindenstrauss, J., Milman, V.D. (eds) Geometrical Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078132

Download citation

  • DOI: https://doi.org/10.1007/BFb0078132

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18103-3

  • Online ISBN: 978-3-540-47771-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics