Skip to main content
SpringerLink
Log in

Linear Topological Invariants and Splitting of Closed Ideals in Weighted Algebras of Analytic Functions on the Disc

  • Published:
Results in Mathematics Aims and scope Submit manuscript

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

References

  1. C.A. Berenstein, B.A. Taylor: A new look at interpolation theory for entire functions of one variable. Adv. Math. 33 (1979), 109–143.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Krone: Zur topologischen Charakterisierung von Unter- und Quotientenräumen spezieller nuklearer Kötheräume mit der Splittingmethode. Diplomarbeit, Wuppertal 1984.

    Google Scholar 

  3. J. Krone, D. Vogt: The splitting relation for Köthe spaces. Math. Z. 190 (1985), 387–400.

    Article  MathSciNet  MATH  Google Scholar 

  4. R. Meise, B.A. Taylor: Sequence space representations for (FN)-algebras of entire functions modulo closed ideals. Stud. Math. 85 (1987), 203–227.

    MathSciNet  MATH  Google Scholar 

  5. R. Meise, B.A. Taylor: Splitting of closed ideals in (DFN)-algebras of entire functions and the property (DN). Trans. Amer. Math. Soc. 302 (1987), 341–370.

    MathSciNet  MATH  Google Scholar 

  6. R. Meise, B.A. Taylor: Each non-zero convolution operator on the entire functions admits a continuous linear right inverse. Math. Z. 197 (1988), 139–152.

    Article  MathSciNet  MATH  Google Scholar 

  7. S. Momm: Ideale in gedichteten Algebren holomorpher Funktionen auf dem Einheitskreis. Thesis, Düsseldorf 1988.

  8. S. Momm: Partial differential operators of infinite order with constant coefficients on the space of analytic functions on the polydisc. to appear in Stud. Math.

  9. S. Momm: Complemented ideals in weighted algebras of analytic functions on the disc. Preprint 1989.

  10. B. Schwerdtfeger: Linear-topologische Invarianten und Räume holomorpher Funktionen. Diplomarbeit, Düsseldorf 1983.

    Google Scholar 

  11. B.A. Taylor: Linear extension operators for entire functions. Mich. Math. J. 29 (1982), 185–197.

    Article  MATH  Google Scholar 

  12. D. Vogt: Charakterisierung der Unterräume von s. Math. Z. 155 (1977), 109–117.

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  14. D. Vogt, M.-J. Wagner: Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau. Stud. Math. 67 (1980), 225–240.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut Heinrich-Heine-Universität Düsseldorf Universitätsstraβe 1, dy4000, Düsseldorf 1, Fed. Rep. of Germany

    Siegfried Momm

Authors
  1. Siegfried Momm
    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

Momm, S. Linear Topological Invariants and Splitting of Closed Ideals in Weighted Algebras of Analytic Functions on the Disc. Results. Math. 17, 128–139 (1990). https://doi.org/10.1007/BF03322636

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03322636

Keywords

Search

Navigation