Archiv der Mathematik

, Volume 46, Issue 6, pp 547–550 | Cite as

Restrictions of unbounded continuous linear operators on Fréchet spaces

  • T. Terzioğlu
  • M. Yurdakul
Article

Keywords

Linear Operator Continuous Linear Continuous Linear Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    C. Bessaga andA. Pelczynski, On bases and unconditional convergence of series in Banach spaces. Studia Math.17, 151–164 (1958).Google Scholar
  2. [2]
    C. Bessaga, A. Pelczynski andS. Rolewicz, On diametral approximative dimension and linear homogeneity ofF-spaces. Bull. Acad. Polon. Sci. (9)9, 677–683 (1961).Google Scholar
  3. [3]
    D. Van Dulst, Perturbation theory and strictly singular operators in locally convex spaces. Studia Math.38, 341–372 (1970).Google Scholar
  4. [4]
    D. Van Dulst, On strictly singular operators. Compositio Math.23, 169–183 (1971).Google Scholar
  5. [5]
    M. Eidelheit, Zur Theorie der Systeme linearer Gleichungen. Studia Math.6, 139–148 (1936).Google Scholar
  6. [6]
    A.Grothendieck, Products tensoriels topologiques et espaces nucleaires. Mem. Amer. Math. Soc.16 (1955).Google Scholar
  7. [7]
    L. Holmström, A note on countably normed nuclear spaces. Proc. Amer. Math. Soc.89, 453–456 (1983).Google Scholar
  8. [8]
    C. Matyszczyk, Approximation of analytic and continuous mappings by polynomials in Fréchet spaces. Studia Math.60, 223–238 (1977).Google Scholar
  9. [9]
    Z. Nurlu andT. Terzioğlu, Consequences of the existence of a non-compact operator between nuclear Köthe spaces. Manuscripta Math.47, 1–12 (1984).Google Scholar
  10. [10]
    A.Pietsch, Nuclear locally convex spaces. Berlin-Heidelberg-New York 1972.Google Scholar
  11. [11]
    D. Vogt, Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist. J. Reine Angew. Math.345, 182–200 (1983).Google Scholar
  12. [12]
    M.-J.Wagner, Unterräume und Quotienten von Potenzreihenräumen. Dissertation, Wuppertal 1977.Google Scholar

Copyright information

© Birkhäuser Verlag 1986

Authors and Affiliations

  • T. Terzioğlu
    • 1
  • M. Yurdakul
    • 1
  1. 1.Dept. of MathematicsMiddle East Technical UniversityAnkaraTurkey

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