Skip to main content
SpringerLink
Log in

Uniform convexity in Lorentz sequence spaces

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

Abstract

Necessary and sufficient conditions for Lorentz sequence spacesd(a,p) (1<p<∞), to be uniformly convexifiable are given. In casep≧2 the modulus of convexity is calculated.

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

Access this article

Log in via an institution

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. Z. Altshuler, P. G. Cassaza and Bor Luh Lin,On symmetric basic sequences in Lorentz sequence spaces, Israel J. Math.15 (1973), 140–155.

    MATH  MathSciNet  Google Scholar 

  2. P. G. Cassaza and Bor Luh Lin,On symmetric basic sequences in Lorentz sequence spaces II, Israel J. Math.17 (1974), 191–218.

    MathSciNet  Google Scholar 

  3. M. M. Day,Reflexive Banach spaces not isomorphic to uniformly convex spaces, Bull. Amer. Math. Soc.47 (1941), 313–317.

    Article  MATH  MathSciNet  Google Scholar 

  4. I. Halperin,Uniform convexity in function spaces, Duke Math. J.21 (1954), 195–204.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. I. Kadec,Unconditional convergence of series in uniformly convex spaces, Uspehi Mat. Nauk (N. S.)11 (1956), 185–190, (Russian).

    MATH  MathSciNet  Google Scholar 

  6. J. Lindenstrauss and L. Tzafriri,Classical Banach spaces, Springer lectures Notes, No. 338, 1973.

Download references

Author information

Authors and Affiliations

  1. Hebrew University of Jerusalem, Jerusalem, Israel

    Z. Altshuler

Authors
  1. Z. Altshuler
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Altshuler, Z. Uniform convexity in Lorentz sequence spaces. Israel J. Math. 20, 260–274 (1975). https://doi.org/10.1007/BF02760331

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02760331

Keywords

Search

Navigation