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Archiv der Mathematik

, Volume 53, Issue 4, pp 394–398 | Cite as

On bornologicalC\(\overline V \) (X) spaces

  • Françoise Bastin
Article

Key words

weights weighted inductive limits projective description 

AMS classification

46 A 09-46 E 10 

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References

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    K.-D.Bierstedt and J.Bonet, Stefan Heinrich's density condition for Fréchet spaces and the characterization of the distinguished Köthe echelon spaces. To appear in Math. Nachr. (Also see: La condition de densité et les espaces échelonnés distingués, C. R. Acad. Sc. Paris (10)303, série I, 459–462 (1986)).Google Scholar
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    K.-D. Bierstedt andJ. Bonet, Dual density condition in (DF)-spaces (with applications to vector-valued co-echelon spaces and weighted inductive limits). Results in Math.14, 242–274 (1988); Bull. Soc. Roy. Sci. Liége57, 567–589 (1988).Google Scholar
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    K.-D.Bierstedt and R.Meise, Distinguished echelon spaces and the projective description of weighted inductive limits of type.V d C(X). Aspects of Math. Appl. 169–226, Amsterdam 1986.Google Scholar
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    K.-D. Bierstedt, R. Meise andW. H. Summers, A projective description of weighted inductive limits. Trans. Amer. Math. Soc.272, 107–160 (1982).Google Scholar
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    J. Bonet, On weighted inductive limits of spaces of continuous functions. Math. Z.192, 9–20 (1986).Google Scholar
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    B. Ernst andP. Schnettler, On weighted spaces with a fundamental sequence of bounded sets. Arch. Math.47, 552–559 (1986).Google Scholar
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    H.Jarchow, Locally convex spaces. Stuttgart 1981.Google Scholar
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    G.Köthe, Topological vector spaces I. Berlin-Heidelberg-New York 1969.Google Scholar
  9. [9]
    D.Vogt, Distinguished Köthe spaces. Math. Z., to appear.Google Scholar

Copyright information

© Birkhäuser Verlag 1989

Authors and Affiliations

  • Françoise Bastin
    • 1
  1. 1.Aspirant FNRS Université de LiègeLiègeBelgium

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