Skip to main content
Log in

On Orlicz-Power Series Spaces

  • Published:
Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this manuscript, we investigate the isomorphisms of Orlicz-Köthe sequence spaces and quasidiagonal isomorphisms of Cartesian products of Orlicz-power series spaces.

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.

Similar content being viewed by others

References

  1. L. Crone, W.B. Robinson : Every nuclear Fréchet space with a regular basis has the quasi-equivalence property, Studia Math. 52, 203-207,(1974/75).

    Google Scholar 

  2. Djakov P.B., Önal S., Terzioğlu T., Yurdakul M.: Strictly Singular Operators and Isomorphism of Cartesian Products of Power Series Spaces. Arch. Math 70, 57–65 (1998)

    Article  Google Scholar 

  3. Djakov P.B., Ramanujan M.S.: Multipliers Between Orlicz Sequence Spaces. Turk J. Math. 24, 313–319 (2000)

    MATH  MathSciNet  Google Scholar 

  4. P.B. Djakov, T. Terzioğlu, M. Yurdakul, V. Zahariuta : Bounded operators and complemented subspaces of Cartesian products, Math. Nachrichten, to appear.

  5. M.M. Dragilev : Basis in Köthe spaces,(in Russian), Rostov State University, Rostov-on-Don (1983,2003).

  6. Jarchow H.: Locally Convex Spaces. B.G. Teubner, Stuttgart (1981)

    MATH  Google Scholar 

  7. Karapınar E., Yurdakul M., Zahariuta V.P.: Isomorphisms of Cartesian products of -power series spaces. Bull. Polish Acad. Sci. Math. 54(2), 103–111 (2006)

    Article  MATH  Google Scholar 

  8. Krasnoselskii M.A., Rutickii Ya.B.: Convex Functions and Orlicz Spaces. Noorhoff Ltd., Groningen (1961)

    Google Scholar 

  9. Lindberg K.: On Subspaces of Orlicz Sequence Spaces. Studia Mathematica 45, 119–146 (1973)

    MATH  MathSciNet  Google Scholar 

  10. Lindenstrauss J., Tzafriri L.: On Orlicz sequence spaces. Israel J. Math. 10, 379–390 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  11. J. Lindenstrauss, L. Tzafriri: Classical Banach Spaces I,II, Springer, Berlin (1977, 1979).

  12. Meise R., Vogt D.: Introduction to Functional Analysis. Springer, Berlin (1997)

    MATH  Google Scholar 

  13. Mityagin B.S.: Sur l’equivalence des bases inconditional dans les echelles de Hilbert. C. R. Acad. Sci., Paris 269, 426–428 (1969)

    MATH  Google Scholar 

  14. Mityagin B.S.: The equivalence of bases in Hilbert scales, (in Russian). Studia Math. 37, 111–137 (1970)

    MathSciNet  Google Scholar 

  15. Mityagin B.S.: Non-Schwartzian power series spaces. Math. Z. 182(3), 303–310 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  16. Ramanujan M.S., Terzioğlu T.: Power series spaces Λ k (α) of finite type and related nuclearities. Studia Math. 53(1), 1–13 (1975)

    MATH  MathSciNet  Google Scholar 

  17. Vogt D.: Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist. J. reine angew. Math. 345, 182–200 (1983)

    MATH  MathSciNet  Google Scholar 

  18. Zahariuta V.P.: On the isomorphism of Cartesian products of locally convex spaces. Studia Math 46, 201–221 (1973)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Erdal Karapınar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karapınar, E., Zakharyuta, V. On Orlicz-Power Series Spaces. Mediterr. J. Math. 7, 553–563 (2010). https://doi.org/10.1007/s00009-010-0051-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00009-010-0051-2

Mathematics Subject Classification (2010)

Keywords

Navigation