Czechoslovak Mathematical Journal

, Volume 52, Issue 2, pp 329–332 | Cite as

Sequential completeness and regularity of inductive limits of webbed spaces

  • Carlos Bosch
  • Jan Kučera

Abstract

Any inductive limit of bornivorously webbed spaces is sequentially complete iff it is regular.

localy convex space webbed space sequential completeness regularity of an inductive limit 

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References

  1. [1]
    M. De Wilde: Closed Graph Theorem and Webbed Spaces. Pitman, 1978.Google Scholar
  2. [2]
    G. Köthe: Topological Vector Spaces II. Springer-Verlag, 1979.Google Scholar
  3. [3]
    W. Robertson: On the closed graph theorem with webs. Proc. London Math. Soc. 24 (1972), 692–738.Google Scholar
  4. [4]
    J. Kučera, C. Bosch: Bounded sets in fast complete inductive limits. Internat J. Math.7 (1984), 615–617.Google Scholar
  5. [5]
    J. Kučera: Sequential completeness of LF-spaces. Czechoslovak Math. J 51 (2001), 181–183.Google Scholar

Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2002

Authors and Affiliations

  • Carlos Bosch
    • 1
  • Jan Kučera
    • 2
  1. 1.Departamento de MatemáticasITAM, Rio Hondo No. 1Col. Tizapan San AngelMexico
  2. 2.Department of Mathematics WSUPullmanU.S.A.

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