Skip to main content
SpringerLink
Log in

Stable convex sets and extremal operators

  • 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

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. Blumenthal, R.M., Lindenstrauss, J., Phelps, R.R.: Extreme operators intoC(K). Pac. J. Math.15, 747–756 (1965)

    Google Scholar 

  2. Chang, S.M.: On continuous image averaging of probability measures. Pac. J. Math.65, 13–17 (1976)

    Google Scholar 

  3. Clausing, A., Mägerl, G.: Generalized Dirichlet problems and continuous selections of representing measures. Math. Ann.216, 71–78 (1975)

    Google Scholar 

  4. Corson, H.H., Lindenstrauss, J.: Continuous selections with nonmetrizable range. Trans. Amer. Math. Soc.121, 492–504 (1965)

    Google Scholar 

  5. Dunford, N., Schwartz, J.: Linear operators I. New York: Interscience 1958

    Google Scholar 

  6. Fakhoury, H.: Préduaux deL-espaces et éléments extrémaux. Sém. Choquet 1970/71

  7. Lazar, A.J.: Affine functions on simplexes and extreme operators. Israel J. Math.5, 31–43 (1967)

    Google Scholar 

  8. Lazar, A.J., Lindenstrauss, J.: Banach spaces whose duals areL 1 spaces and their representing matrices. Acta Math.126, 165–193 (1971)

    Google Scholar 

  9. Lau, K.-S.: Extreme operators on Choquet simplexes. Pac. J. Math.52, 129–142 (1974)

    Google Scholar 

  10. Lindenstrauss, J.: Extension of compact operators. Memoirs Amer. Math. Soc.48 (1964)

  11. Michael, E.: Continuous selections I.. Ann. of Math.63, 361–382 (1956)

    Google Scholar 

  12. Morris, P.D., Phelps, R.R.: Theorems of Krein-Milman type for certain convex sets of operators. Trans. Amer. Math. Soc.150, 183–200 (1970)

    Google Scholar 

  13. O'Brien, R.C.: On the openness of the barycentre map. Math. Ann.223, 207–212 (1976)

    Google Scholar 

  14. Papadopoulou, S.: On the geometry of stable compact convex sets. Math. Ann.229, 193–200 (1977)

    Google Scholar 

  15. Schwartz, L.: Radon measures on arbitrary topological spaces and cylindrical measures. Oxford: Oxford University Press 1973

    Google Scholar 

  16. Sharir, M.: A note on extreme elements inA 0(K, E). Proc. Amer. Math. Soc.46, 244–246 (1974)

    Google Scholar 

  17. Vesterstrøm, J.: On open maps, compact convex sets, and operator algebras. J. London Math. Soc.6, 289–297 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Bismarckstr. 1 1/2, D-8520, Erlangen, Germany

    A. Clausing & S. Papadopoulou

Authors
  1. A. Clausing
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Papadopoulou
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The paper has been written while the second author was a fellow of the Alexander von Humboldt-Foundation, to which she expresses her thanks

Rights and permissions

Reprints and permissions

About this article

Cite this article

Clausing, A., Papadopoulou, S. Stable convex sets and extremal operators. Math. Ann. 231, 193–203 (1978). https://doi.org/10.1007/BF01420240

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01420240

Keywords

Search

Navigation