Skip to main content
SpringerLink
Log in

ε-weakly Chebyshev subspaces of banach spaces

  • Published:
Analysis in Theory and Applications

Abstract

We will define and characterize ε-weakly Chebyshev subspaces of Banach spaces. We will prove that all closed subspaces of a Banach space X are ε-weakly Chebyshev if and only if X is reflexive.

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. Mohebi, H., Radjavi, H., On Compactness of the Best Approximant Set, J. Nat. Geom., 21: 1–2, (2002), 52–62.

    MathSciNet  Google Scholar 

  2. Mohebi, H., Mazaheri, H., On Compactness and Weakly Compactness of the Best Approximant Set, Math. Sci. Res. Hot-Line, 5:10(2001), 31–42.

    MATH  MathSciNet  Google Scholar 

  3. Mohebi, H. and Rezapour, Sh., On Compactness of the Set of Extensions of a Continuous Linear Functional, J. Nat. Geom., 22:1–2(2002), 91–102.

    MATH  MathSciNet  Google Scholar 

  4. Mohebi, H. and Rezapour, Sh., On Sum and Quotient of Quasi-Chebyshev Subspaces in Banach Spaces, Submitted.

  5. Mohebi, H. and Rezapour, Sh., Upper Semi-Continuity of the Projective Maps, J. Nat. Geom., 21:1–2(2002), 63–80.

    MATH  MathSciNet  Google Scholar 

  6. Mohebi, H., On Quasi-Chebyshev Subspaces of Banach Spaces, J. App., Theory, 107:1 (2000), 87–95.

    Article  MATH  MathSciNet  Google Scholar 

  7. Mohebi, H., Quasi-Chebyshev Subspaces in Dual Spaces, J. Nat. Geom.,. 20:1–2(2001), 33–44.

    MATH  MathSciNet  Google Scholar 

  8. Mohebi, H., Some Results on Quasi-Chebyshev Subspaces, J. Nat. Geom., 19:1–2(2001), 27–38.

    MATH  MathSciNet  Google Scholar 

  9. Mohebi, H., Pseudo-Chebyshev Subspaces inL 1, Korean J. Comput. Appl. Math., 7:2 (2000), 465–475.

    MATH  MathSciNet  Google Scholar 

  10. Mohebi, H., Pseudo-Chebyshev Subspaces in Dual Spaces, J. Nat. Geom., 17:1–2(2000), 93–104.

    MATH  MathSciNet  Google Scholar 

  11. Mohebi, H., Characterizations of Quasi-Chebyshev Subspaces, Submitted.

  12. Rezapour, Sh., ε-Pseudo Chebyshev and ε-Quasi Chebyshev Subspaces of Banach Spaces, Submitted.

  13. Rudin, W., Functional Analysis, Mc Graw-Hill, 1973.

  14. Singer, I., Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, Springer-Verlag, Berlin, 1970.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Azarbaidjan University of Tarbiat, Moallem, 51745-406, Tabriz, Iran

    Sh. Rezapour

Authors
  1. Sh. Rezapour
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sh. Rezapour.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rezapour, S. ε-weakly Chebyshev subspaces of banach spaces. Anal. Theory Appl. 19, 130–135 (2003). https://doi.org/10.1007/BF02835237

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02835237

Key Words

AMS(2000) subject classification

Search

Navigation