Skip to main content
Log in

A representation theorem for positive functionals on involution algebras

  • 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. Bourbaki, N.: Espaces vectoriels topologiques, Chaps. I–II. Paris: Hermann et Cie 1953.

    Google Scholar 

  2. —— Intégration, Chaps. I–IV. Paris: Hermann et Cie. 1952.

    Google Scholar 

  3. Bucy, R. S., andG. Maltese: Extreme positive definite functions and Choquet's representation theorem. To appear in J. Math. Anal. Appl.

  4. Choquet, G., andP. A. Meyer: Existence et unicité des représentations integrales dans les convexes compacts quelconques. Ann. Inst. Fourier (Grenoble)13, 139–154 (1963).

    Google Scholar 

  5. Dunford, N., andJ. Schwartz: Linear operators, Part 1. New York: Interscience 1958.

    Google Scholar 

  6. Gelfand, I., D. Raikov andG. Shilov: Commutative normed rings. New York: Chelsea 1964.

    Google Scholar 

  7. Phelps, R. R.: Integral representation of the elements of a convex set. Mimeographed notes. University of Washington, Seattle 1963.

    Google Scholar 

  8. Rickart, C. E.: General theory of Banach algebras. Princeton: Van Nostrand 1960.

    Google Scholar 

  9. Sakai, S.: A Radon-Nikodym theorem inW*-algebras. Bull. Am. Math. Soc.71, 149–151 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

HerrnGottfried Köthe zum 60. Geburtstag am 25. 12. 1965 gewidmet

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bucy, R.S., Maltese, G. A representation theorem for positive functionals on involution algebras. Math. Ann. 162, 364–367 (1966). https://doi.org/10.1007/BF01369109

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01369109

Keywords

Navigation