Skip to main content

Eduard Helly, father of the Hahn-Banach theorem

This is a preview of subscription content, access via your institution.

References

  1. 1.

    Banach, S., Sur les fonctionelles linéaire, Stud. Math. 1 (1929) pp. 211–216.

    Google Scholar 

  2. 2.

    Banach, S., Théorie des operations linéaires, Warsaw (1932).

  3. 3.

    Banach, S., and H. Steinhaus, Sur le principe de la condensation de singularities, Fund. Math. 9 (1927), pp. 51–61.

    Google Scholar 

  4. 4.

    Bohnenblust, H. F., and A. Sobczyk, Extensions of Functional on Complete Linear Spaces, Bull. Amer. Math. Soc. 44 (1938), pp. 91–93.

    Article  MathSciNet  Google Scholar 

  5. 5.

    Dieudonné, J., Sur le Théoréme de Hahn-Banach, La Rev. Sci. 79 (1941), pp. 642–643.

    Google Scholar 

  6. 6.

    Hahn, H., Über lineare Gleichungen in linearen Räumen, Journ. für reine u. angew. Math. 157 (1927), pp. 214–229.

    MATH  Google Scholar 

  7. 7.

    Helly, E., Über lineare Funktionaloperationen, Sitzber. Akad. Wiss. Wien 121 (1912), pp. 265–297.

    MATH  Google Scholar 

  8. 8.

    Helly, E., Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, Jbr. Deut. Math. Ver. 32 (1923), pp. 175–176.

    MATH  Google Scholar 

  9. 9.

    Murray, F. J., Linear Transformations in Lp, p > 1, Trans. Amer. Math. Soc. 39 (1936), pp. 83–100.

    MATH  Article  MathSciNet  Google Scholar 

  10. 10.

    Riesz, F.,Sur certain systémes singuliers ďéquations intégrales, Ann. de ľécole normale, 1911.

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to Harry Hochstadt.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Hochstadt, H. Eduard Helly, father of the Hahn-Banach theorem. The Mathematical Intelligencer 2, 123–125 (1980). https://doi.org/10.1007/BF03023052

Download citation

Keywords

  • Heart Attack
  • Linear Functional
  • Kleinian Group
  • Fuchsian Group
  • Uniform Boundedness Principle