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Sequential completeness and regularity of inductive limits of webbed spaces

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Abstract

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

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References

  1. M. De Wilde: Closed Graph Theorem and Webbed Spaces. Pitman, 1978.

  2. G. Köthe: Topological Vector Spaces II. Springer-Verlag, 1979.

  3. W. Robertson: On the closed graph theorem with webs. Proc. London Math. Soc. 24 (1972), 692–738.

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  4. J. Kučera, C. Bosch: Bounded sets in fast complete inductive limits. Internat J. Math.7 (1984), 615–617.

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  5. J. Kučera: Sequential completeness of LF-spaces. Czechoslovak Math. J 51 (2001), 181–183.

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Authors and Affiliations

  1. Departamento de Matemáticas, ITAM, Rio Hondo No. 1, Col. Tizapan San Angel, 01000, Mexico

    Carlos Bosch

  2. Department of Mathematics WSU, Pullman, WA, 99164-3113, U.S.A.

    Jan Kučera

Authors
  1. Carlos Bosch
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  2. Jan Kučera
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Bosch, C., Kučera, J. Sequential completeness and regularity of inductive limits of webbed spaces. Czechoslovak Mathematical Journal 52, 329–332 (2002). https://doi.org/10.1023/A:1021726628164

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  • DOI: https://doi.org/10.1023/A:1021726628164

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