Skip to main content
SpringerLink
Log in

Transformation semigroup compactifications and norm continuity of weakly almost periodic functions

  • Published:
Proceedings Mathematical Sciences Aims and scope Submit manuscript

Abstract

We prove if there exists a separately continuous action of a topologically right simple semitopological semigroupS on a topological spaceX and ifS acts topologically surjective onX then each weakly almost periodic function onX, with respect toS, is left norm continuous.

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

Similar content being viewed by others

References

  1. Berglund J F, Junghenn H D and Milnes P,Analysis on Semigroups (Function Spaces, Compactiflcations, Representations) (New York: Wiley) (1989)

    Google Scholar 

  2. Jalilian A and Pourabdollah M A, Universal compactifications of transformation semigroups, to appear inJ. Sci. I. R. I.

  3. Junghenn H D, Almost periodic compactifications of transformation semigroups,Pac. J. Math. 57(1) (1975) 207–216

    MATH  MathSciNet  Google Scholar 

  4. Ebrahimi-Vishki H R and Pourabdollah M A, More on norm-continuity of weakly almost periodic functions,J. Sci. Univ. Tehran. 2 (1997) 29–33

    MathSciNet  Google Scholar 

  5. Pourabdollah M A, On norm-continuity of weakly almost periodic functions,J. Sci. Univ. Tehran. 1 (1996) 39–42

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran

    A. Jalilian & M. A. Pourabdollah

Authors
  1. A. Jalilian
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. A. Pourabdollah
    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

Jalilian, A., Pourabdollah, M.A. Transformation semigroup compactifications and norm continuity of weakly almost periodic functions. Proc Math Sci 110, 55–59 (2000). https://doi.org/10.1007/BF02829480

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02829480

Keywords

Search

Navigation