Skip to main content
Log in

Invariant means for the bounded measurable functions on a non-discrete locally compact group

  • 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. Chou, C.: On the size of the left invariant means on a semi-group. Proc. Amer. Math. Soc.23, 199–205 (1969)

    Google Scholar 

  2. Chou, C.: On topological invariant means on a locally compact group. Trans. Amer. Math. Soc.151, 443–456 1970)

    Google Scholar 

  3. Chou, C.: The exact cardinality of the set of invariant means on a group (to appear)

  4. Granirer, E.: On amenable semigroups with a finite-dimensional set of invariant means I. Illinois J. Math.7, 32–48 (1963)

    Google Scholar 

  5. Granirer, E.: Criteria for compactness and for discreteness of locally amenable groups. Proc. Amer. Math. Soc.40, 615–624 (1973)

    Google Scholar 

  6. Greenleaf, F.P.: Invariant means on topological groups and their applications. Van Nostrand Math. Studies 16. New York: Van Nostrand 1969

    Google Scholar 

  7. Kuratowski, K.: Applications of the Baire-category method to the problem of independent sets. Fundamenta Math.81, 65–72 (1973)

    Google Scholar 

  8. Mycielski, J.: Independent sets in topological algebras. Fundamenta Math.55, 139–147 (1964)

    Google Scholar 

  9. Mycielski, J.: Almost every function is independent. Fundamenta Math.81, 43–48 (1973)

    Google Scholar 

  10. Rosenblatt, J.: Invariant means and invariant ideals inL (G) for a locally compact groupG. To appear in J. Functional Analysis

  11. Rudin, W.: Invariant means onL . Studia Math.44, 219–227 (1972)

    Google Scholar 

  12. Rudin, W.: Homomorphisms and translations inL (G). Advances im Math.16, 72–90 (1975)

    Google Scholar 

  13. Wells, B.: Homomorphisms and translates of bounded functions. Duke Math.41, 35–39 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rosenblatt, J.M. Invariant means for the bounded measurable functions on a non-discrete locally compact group. Math. Ann. 220, 219–228 (1976). https://doi.org/10.1007/BF01431093

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01431093

Keywords

Navigation