Skip to main content
SpringerLink
Log in

Extreme Points and Strongly Extreme Points of Musielak–Orlicz Sequences Spaces

  • ORIGINAL ARTICLES
  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

Criteria for extreme points and strongly extreme points in Musielak–Orlicz sequence spaces, equipped with both the Luxemburg norm and the Orlicz norm, are given.

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. Diestel, J.: Geometry of Functional Analysis. Selected Topics, Springer, Berlin, Heidelberg, New York, 1975

  2. Chen, S.: Geometry of Orlicz spaces. Dissertations Math., 356, Warszawa, 1996

  3. Cui, Y., Wang, T.: Strongly extreme points of Orlicz spaces. J. Math., (Wuhan), 7(4), 335–340 (1987)

    Google Scholar 

  4. Hudzik, H.: Orlicz spaces without strongly extreme points and without H–points. Canad., Math. Bull., 36, 173–177 (1993)

    MathSciNet  Google Scholar 

  5. Hudzik, H., Kurc, W., Wisla, M.: Strongly extreme points in Orlicz function spaces. J. Math. Anal. Appl., 189, 651–670 (1995)

    Article  MathSciNet  Google Scholar 

  6. Kurc, W.: Extreme points of unit ball in Orlicz spaces of vector–valued function with the Amemiya norm. Math. Japan., 38, 277–288 (1993)

    MathSciNet  Google Scholar 

  7. Wisla, M.: Extreme points and stable unit ball in Orlicz sequence spaces. Arch. Math. (Basel), 56, 193–200 (1991)

    Google Scholar 

  8. Wu, C., Chen, S.: Extreme points and rotundity of Musielak–Orlicz spaces. Northeast Math. J., 2, 138–149 (1986)

    MathSciNet  Google Scholar 

  9. Wang, T., Teng, Y., Bian, S.: On the complex locally uniform rotundity of Musielak–Orlicz sequence spaces. Bull. Polish. Acad. Sci. Math., 47(4), 303–311 (1999)

    MathSciNet  Google Scholar 

  10. Wu, C., Sun, H.: Norm calculation and complex convexity of the Musielak–Orlicz sequence spaces. Chinese Ann. Math., 12A(Suppl), 98–102 (1991)

    Google Scholar 

  11. A, Kaminska.: Rotundity of sequence Musielak–Orlicz spaces. Bull. Polish. Acad. Sci, Math., 29, 137–144 (1981)

    MathSciNet  Google Scholar 

  12. Hudzik, H., Matylo, M.: Strongly extreme points in K¨othe–Bochner spaces. Rocky Mountain J. Math., 23, 899–909 (1993)

    MathSciNet  Google Scholar 

  13. Musielak, J.: Orlicz spaces and modular spaces, Lect. Notes in Math., 1034, Springer, 1983

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Harbin Normal University, Harbin 150080, P. R. China

    Xin Bo Liu

  2. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China

    Ting Fu Wang

  3. University of Science and Technology, 126, Tianjin 300222, P. R. China

    Fei Fei Yu

Authors
  1. Xin Bo Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ting Fu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fei Fei Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xin Bo Liu.

Additional information

This research is supported by the National Natural Science Foundation of China (No.10001010) and the Science Foundation of Harbin Normal University

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, X.B., Wang, T.F. & Yu, F.F. Extreme Points and Strongly Extreme Points of Musielak–Orlicz Sequences Spaces. Acta Math Sinica 21, 267–278 (2005). https://doi.org/10.1007/s10114-004-0422-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10114-004-0422-3

Keywords

MR (2000) Subject Classification

Search

Navigation