Skip to main content
Log in

Relative uniform convergence

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

References

  1. Birkhoff, G.: Lattice theory. rev. ed. Am. Math. Soc. Colloq. Publ.25, Am. Math. Soc., New York 1948.

    Google Scholar 

  2. —— Uniformly semi-primative multiplicative processes. Transactions Am. Math. Soc.104, 37–51 (1962).

    Google Scholar 

  3. Bonsall, F. F.: Endomorphisms of a partially ordered vector space without order unit. J. London Math. Soc.30, 144–153 (1955).

    Google Scholar 

  4. Gordon, H.: Topologies and projections on Riesz spaces. Transactions Am. Math. Soc.94, 529–551 (1960).

    Google Scholar 

  5. Köthe, G.: Topologische lineare Räume. I. Berlin-Göttingen-Heidelberg: Springer-Verlag 1960.

    Google Scholar 

  6. Mackey, G. W.: On infinite dimensional linear spaces. Transactions Am. Math. Soc.57, 155–207 (1945).

    Google Scholar 

  7. Moore, E. H.: On the foundations of the theory of linear integral equations. Bull. Am. Math. Soc.18, 334–362 (1912).

    Google Scholar 

  8. Namioka, I.: Partially ordered linear topological spaces. Memoirs Am. Math. Soc.24, Am. Math. Soc., Providence 1957.

    Google Scholar 

  9. Riesz, F.: Sur quelque notions fondamentales dans la théorie générale des opérations linéares. Ann. Math.41, 174–206 (1940).

    Google Scholar 

  10. Schaefer, H. H.: Halbgeordnete lokalkonvexe Vektorräume. Math. Ann.135, 115–141 (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author wishes to thankGarrett Birkhoff for calling his attention to the subject of this paper and for valuable conversations and correspondence.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gordon, H. Relative uniform convergence. Math. Ann. 153, 418–427 (1964). https://doi.org/10.1007/BF01360676

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360676

Keywords

Navigation