Skip to main content
SpringerLink
Log in

On some generalizations of the Kakutani-Stone and Stone-Weierstrass theorems

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

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

References

  1. J. L. Blasco, Hausdorff compactifications and Lebesgue sets,Topology and its Applications,15 (1983), 111–117.

    Google Scholar 

  2. Á. Császár, On approximation theorems for uniform spaces,Acta Math. Acad. Sci. Hungar.,22 (1971), 177–186.

    Google Scholar 

  3. Á. Császár and J. Czipszer, Sur des critères généraux d'approximation uniforme,Ann. Univ. Sci. Budapest.,6 (1963), 17–26.

    Google Scholar 

  4. M. I. Garrido,Aproximacion uniforme en espacios de funciones continuas, Publicaciones del Dpto. Matemáticas, Univ. Extremadura,24 (1990).

  5. L. Gillman and M. Jerison,Rings of Continuous Functions, Springer-Verlag (1976).

  6. E. Hewitt, Certain generalizations of the Weierstrass approximation theorem,Duke Math.,14 (1947), 419–427.

    Google Scholar 

  7. S. Kakutani, Concrete representation of abstract (M)-spaces,Annals of Math.,42 (1941), 994–1024.

    Google Scholar 

  8. S. Mrówka, On some approximation theorems,Nieuw Archief voor Wiskunde,XVI (1968), 94–111.

    Google Scholar 

  9. L. Nachbin,Elements of Approximation Theory, Van Nostrand Mathematical Studies (1967).

  10. G. Nöbeling and H. Bauer, Allgemeine Approximationskriterien mit Anwendungen,Jber. Deutsch. Math. Verein.,58 (1955), 54–72.

    Google Scholar 

  11. M. H. Stone, Applications of the theory of Boolean rings to general topology,Trans. Amer. Math. Soc. 41 (1937), 375–481.

    Google Scholar 

  12. M. H. Stone, A generalized Weierstrass approximation theorem,Math. Magazine,21 (1948), 167–184, 237–254.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matematicas, Universidad de Extremadura, 06071, Badajoz, Spain

    M. I. Garrido & F. Montalvo

Authors
  1. M. I. Garrido
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Montalvo
    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

Garrido, M.I., Montalvo, F. On some generalizations of the Kakutani-Stone and Stone-Weierstrass theorems. Acta Math Hung 62, 199–208 (1993). https://doi.org/10.1007/BF01874642

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01874642

Search

Navigation